How to Find GCF of 938/727, 6517/7692?

GCF of 938/727, 6517/7692

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 938/727, 6517/7692 i.e 7/5592084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 938/727, 6517/7692.

Enter two or more fractions separated by "commas"

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

What is the GCF of 938/727,6517/7692?

Given fractions are 938/727,6517/7692

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 938/727,6517/7692, numerators are 938,6517

Denominators are 727,7692

The GCF of 938,6517 is 7 .

LCM of 727,7692 is 5592084.

The greatest common factor of 938/727,6517/7692 = [GCF of 938,6517]/[LCM of 727,7692]= 7/5592084

Therefore, the GCF of 938/727,6517/7692 is 7/5592084.

Greatest Common Factor of 938,6517

To find the highest common factor of 938,6517, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 6517 are 1, 7, 19, 49, 133, 343, 931, 6517

The HCF of 938,6517 is 7.

Lets's calculate GCF of 938,6517

Greatest Common Factor (GCF) of 938,6517 By Common Division

7	938, 6517
	134, 931

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

Greatest Common Factor of 938,6517 By Matching Biggest Common Factor Method

Now, list down the factors of 938

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

Now, list down the factors of 6517

1,7,19,49,133,343,931,6517

Greatest Common Factor

We found the factors 938,6517 . The biggest common factor number is the GCF number.
So the greatest common factor 938,6517 is 7.

Lets's calculate LCM of 727,7692

Lowest Common Multiple of 727,7692 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5592084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5592084

Therefore, the GCF of Fractions 938/727,6517/7692 is 7/5592084

Least Common Multiple of 727,7692 with GCF Formula

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

We need to calculate greatest common factor of 727,7692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,7692) = 1

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

GCF(727,7692) x common factors =1 x 1 = 1

LCM(727,7692) = ( 727 × 7692 ) / 1

LCM(727,7692) = 5592084 / 1

LCM(727,7692) = 5592084

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 938/727, 6517/7692

1. What is the HCF of 938,6517?

The HCF of 938,6517 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 938/727, 6517/7692?

Answer: GCF of Numerators as per given numbers 938/727, 6517/7692 is

GCF of Numerators i.e. for 938,6517 is 7

LCM of denominators i.e. for 727,7692 is 5592084.

Thus, GCF of Fractions is 7/5592084.Finally, GCF of Fractions for 938/727, 6517/7692 is 7/5592084.