Greatest Common Factor of 7688/76, 8717/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7688/76, 8717/495

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 7688/76,8717/495

Given fractions are 7688/76,8717/495

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7688,8717

Greatest Common Factor of Numerators i.e. GCF of 7688,8717 is 1 .

LCM of Denominators means LCM of 76,495 as per the given fractions.

LCM of 76,495 is 37620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7688,8717

GCF of Fractions 7688/76,8717/495 is 1/37620

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

Greatest Common Factor of 7688,8717 By Matching Biggest Common Factor Method

Greatest Common Factor of 7688,8717 By Matching Biggest Common Factor Method

Factors of 7688

List of positive integer factors of 7688 that divides 7688 without a remainder.

1,2,4,8,31,62,124,248,961,1922,3844,7688

Factors of 8717

List of positive integer factors of 8717 that divides 8717 without a remainder.

1,23,379,8717

Greatest Common Factor

We found the factors 7688,8717 . The biggest common factor number is the GCF number.
So the greatest common factor 7688,8717 is 1.

Lets's calculate LCM of 76,495

Given numbers has no common factors except 1. So, there LCM is their product i.e 37620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37620

Therefore, the GCF of Fractions 7688/76,8717/495 is 1/37620

Least Common Multiple of 76,495 with GCF Formula

Least Common Multiple of 76,495 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 76,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,495) = 1

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

GCF(76,495) x common factors =1 x 1 = 1

LCM(76,495) = ( 76 × 495 ) / 1

LCM(76,495) = 37620 / 1

LCM(76,495) = 37620


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7688/76, 8717/495

1. 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.

2. What is the GCF of Fractions for 7688/76, 8717/495?

Answer: GCF of Numerators as per given numbers 7688/76, 8717/495 is

GCF of Numerators i.e. for 7688,8717 is 1

LCM of denominators i.e. for 76,495 is 37620.

Thus, GCF of Fractions is 1/37620.Finally, GCF of Fractions for 7688/76, 8717/495 is 1/37620.