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GCF of 746/14, 938/757

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 746/14, 938/757 i.e 2/10598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 746/14, 938/757.

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 746/14,938/757?

Given fractions are 746/14,938/757

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 746/14,938/757, numerators are 746,938

Denominators are 14,757

The GCF of 746,938 is 2 .

LCM of 14,757 is 10598.

The greatest common factor of 746/14,938/757 = [GCF of 746,938]/[LCM of 14,757]= 2/10598

Therefore, the GCF of 746/14,938/757 is 2/10598.

Greatest Common Factor of 746,938

To find the highest common factor of 746,938, we have to find the factors of both numbers and list the highest common factor.

The factors of 746 are 1, 2, 373, 746

The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938

The HCF of 746,938 is 2.

Lets's calculate GCF of 746,938

Greatest Common Factor (GCF) of 746,938 By Common Division

2 746, 938
373, 469

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 746,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,938 By Matching Biggest Common Factor Method

Now, list down the factors of 746

:

1,2,373,746

Now, list down the factors of 938

:

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 746,938 . The biggest common factor number is the GCF number.
So the greatest common factor 746,938 is 2.


Lets's calculate LCM of 14,757

Lowest Common Multiple of 14,757 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 10598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10598

Therefore, the GCF of Fractions 746/14,938/757 is 2/10598

Least Common Multiple of 14,757 with GCF Formula

Least Common Multiple of 14,757 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 14,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,757) = 1

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

GCF(14,757) x common factors =1 x 1 = 1

LCM(14,757) = ( 14 × 757 ) / 1

LCM(14,757) = 10598 / 1

LCM(14,757) = 10598


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 746/14, 938/757

1. What is the HCF of 746,938?

The HCF of 746,938 is 2

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 746/14, 938/757?

Answer: GCF of Numerators as per given numbers 746/14, 938/757 is

GCF of Numerators i.e. for 746,938 is 2

LCM of denominators i.e. for 14,757 is 10598.

Thus, GCF of Fractions is 2/10598.Finally, GCF of Fractions for 746/14, 938/757 is 2/10598.