Greatest Common Factor of 8614/689, 6976/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8614/689, 6976/352

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 8614/689,6976/352

Given fractions are 8614/689,6976/352

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 8614,6976

Greatest Common Factor of Numerators i.e. GCF of 8614,6976 is 2 .

LCM of Denominators means LCM of 689,352 as per the given fractions.

LCM of 689,352 is 242528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8614,6976

GCF of Fractions 8614/689,6976/352 is 2/242528

2 8614, 6976
4307, 3488

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

Greatest Common Factor of 8614,6976 By Matching Biggest Common Factor Method

Greatest Common Factor of 8614,6976 By Matching Biggest Common Factor Method

Factors of 8614

List of positive integer factors of 8614 that divides 8614 without a remainder.

1,2,59,73,118,146,4307,8614

Factors of 6976

List of positive integer factors of 6976 that divides 6976 without a remainder.

1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976

Greatest Common Factor

We found the factors 8614,6976 . The biggest common factor number is the GCF number.
So the greatest common factor 8614,6976 is 2.

Lets's calculate LCM of 689,352

Given numbers has no common factors except 1. So, there LCM is their product i.e 242528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/242528

Therefore, the GCF of Fractions 8614/689,6976/352 is 2/242528

Least Common Multiple of 689,352 with GCF Formula

Least Common Multiple of 689,352 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 689,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,352) = 1

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

GCF(689,352) x common factors =1 x 1 = 1

LCM(689,352) = ( 689 × 352 ) / 1

LCM(689,352) = 242528 / 1

LCM(689,352) = 242528


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 8614/689, 6976/352

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 8614/689, 6976/352?

Answer: GCF of Numerators as per given numbers 8614/689, 6976/352 is

GCF of Numerators i.e. for 8614,6976 is 2

LCM of denominators i.e. for 689,352 is 242528.

Thus, GCF of Fractions is 2/242528.Finally, GCF of Fractions for 8614/689, 6976/352 is 2/242528.