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 949/20, 747/758

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 949/20, 747/758 i.e 1/7580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/20, 747/758.

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 949/20,747/758?

Given fractions are 949/20,747/758

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 949/20,747/758, numerators are 949,747

Denominators are 20,758

The GCF of 949,747 is 1 .

LCM of 20,758 is 7580.

The greatest common factor of 949/20,747/758 = [GCF of 949,747]/[LCM of 20,758]= 1/7580

Therefore, the GCF of 949/20,747/758 is 1/7580.

Greatest Common Factor of 949,747

To find the highest common factor of 949,747, we have to find the factors of both numbers and list the highest common factor.

The factors of 949 are 1, 13, 73, 949

The factors of 747 are 1, 3, 9, 83, 249, 747

The HCF of 949,747 is 1.

Lets's calculate GCF of 949,747

Greatest Common Factor (GCF) of 949,747 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 949,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,747 By Matching Biggest Common Factor Method

Now, list down the factors of 949

:

1,13,73,949

Now, list down the factors of 747

:

1,3,9,83,249,747

Greatest Common Factor

We found the factors 949,747 . The biggest common factor number is the GCF number.
So the greatest common factor 949,747 is 1.

Lets's calculate LCM of 20,758

Lowest Common Multiple of 20,758 using Common Division

2 20, 758
10, 379

∴ So the LCM of the given numbers is 2 x 10 x 379 = 7580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7580

Therefore, the GCF of Fractions 949/20,747/758 is 1/7580

Least Common Multiple of 20,758 with GCF Formula

Least Common Multiple of 20,758 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 20,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,758) = 2

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

GCF(20,758) x common factors =2 x 1 = 2

LCM(20,758) = ( 20 × 758 ) / 2

LCM(20,758) = 15160 / 2

LCM(20,758) = 7580


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 949/20, 747/758

1. What is the HCF of 949,747?

The HCF of 949,747 is 1

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 949/20, 747/758?

Answer: GCF of Numerators as per given numbers 949/20, 747/758 is

GCF of Numerators i.e. for 949,747 is 1

LCM of denominators i.e. for 20,758 is 7580.

Thus, GCF of Fractions is 1/7580.Finally, GCF of Fractions for 949/20, 747/758 is 1/7580.