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 707/412, 679/108

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 707/412, 679/108 i.e 7/11124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 707/412, 679/108.

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 707/412,679/108?

Given fractions are 707/412,679/108

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 707/412,679/108, numerators are 707,679

Denominators are 412,108

The GCF of 707,679 is 7 .

LCM of 412,108 is 11124.

The greatest common factor of 707/412,679/108 = [GCF of 707,679]/[LCM of 412,108]= 7/11124

Therefore, the GCF of 707/412,679/108 is 7/11124.

Greatest Common Factor of 707,679

To find the highest common factor of 707,679, we have to find the factors of both numbers and list the highest common factor.

The factors of 707 are 1, 7, 101, 707

The factors of 679 are 1, 7, 97, 679

The HCF of 707,679 is 7.

Lets's calculate GCF of 707,679

Greatest Common Factor (GCF) of 707,679 By Common Division

7 707, 679
101, 97

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 707,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,679 By Matching Biggest Common Factor Method

Now, list down the factors of 707

:

1,7,101,707

Now, list down the factors of 679

:

1,7,97,679

Greatest Common Factor

We found the factors 707,679 . The biggest common factor number is the GCF number.
So the greatest common factor 707,679 is 7.

Lets's calculate LCM of 412,108

Lowest Common Multiple of 412,108 using Common Division

2 412, 108
2 206, 54
103, 27

∴ So the LCM of the given numbers is 2 x 2 x 103 x 27 = 11124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/11124

Therefore, the GCF of Fractions 707/412,679/108 is 7/11124

Least Common Multiple of 412,108 with GCF Formula

Least Common Multiple of 412,108 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 412,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,108) = 4

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

GCF(412,108) x common factors =4 x 1 = 4

LCM(412,108) = ( 412 × 108 ) / 4

LCM(412,108) = 44496 / 4

LCM(412,108) = 11124


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 707/412, 679/108

1. What is the HCF of 707,679?

The HCF of 707,679 is 7

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 707/412, 679/108?

Answer: GCF of Numerators as per given numbers 707/412, 679/108 is

GCF of Numerators i.e. for 707,679 is 7

LCM of denominators i.e. for 412,108 is 11124.

Thus, GCF of Fractions is 7/11124.Finally, GCF of Fractions for 707/412, 679/108 is 7/11124.