LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 708/806, 826/101

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 708/806, 826/101 i.e 118/81406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 708/806, 826/101.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 708/806,826/101?

Given fractions are 708/806,826/101

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 708/806,826/101, numerators are 708,826

Denominators are 806,101

The GCF of 708,826 is 118 .

LCM of 806,101 is 81406.

The greatest common factor of 708/806,826/101 = [GCF of 708,826]/[LCM of 806,101]= 118/81406

Therefore, the GCF of 708/806,826/101 is 118/81406.

Greatest Common Factor of 708,826

To find the highest common factor of 708,826, we have to find the factors of both numbers and list the highest common factor.

The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826

The HCF of 708,826 is 118.

Lets's calculate GCF of 708,826

Greatest Common Factor (GCF) of 708,826 By Common Division

2 708, 826
59 354, 413
6, 7

∴ So the GCF of the given numbers is 2 x 59 = 118

Greatest Common Factor of 708,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,826 By Matching Biggest Common Factor Method

Now, list down the factors of 708

:

1,2,3,4,6,12,59,118,177,236,354,708

Now, list down the factors of 826

:

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 708,826 . The biggest common factor number is the GCF number.
So the greatest common factor 708,826 is 118.

Lets's calculate LCM of 806,101

Lowest Common Multiple of 806,101 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 81406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 118/81406

Therefore, the GCF of Fractions 708/806,826/101 is 118/81406

Least Common Multiple of 806,101 with GCF Formula

Least Common Multiple of 806,101 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 806,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,101) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(806,101) x common factors =1 x 1 = 1

LCM(806,101) = ( 806 × 101 ) / 1

LCM(806,101) = 81406 / 1

LCM(806,101) = 81406


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 708/806, 826/101

1. What is the HCF of 708,826?

The HCF of 708,826 is 118

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 708/806, 826/101?

Answer: GCF of Numerators as per given numbers 708/806, 826/101 is

GCF of Numerators i.e. for 708,826 is 118

LCM of denominators i.e. for 806,101 is 81406.

Thus, GCF of Fractions is 118/81406.Finally, GCF of Fractions for 708/806, 826/101 is 118/81406.