Greatest Common Factor of 4682/925, 7568/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4682/925, 7568/874

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 4682/925,7568/874

Given fractions are 4682/925,7568/874

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 4682,7568

Greatest Common Factor of Numerators i.e. GCF of 4682,7568 is 2 .

LCM of Denominators means LCM of 925,874 as per the given fractions.

LCM of 925,874 is 808450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4682,7568

GCF of Fractions 4682/925,7568/874 is 2/808450

2 4682, 7568
2341, 3784

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

Greatest Common Factor of 4682,7568 By Matching Biggest Common Factor Method

Greatest Common Factor of 4682,7568 By Matching Biggest Common Factor Method

Factors of 4682

List of positive integer factors of 4682 that divides 4682 without a remainder.

1,2,2341,4682

Factors of 7568

List of positive integer factors of 7568 that divides 7568 without a remainder.

1,2,4,8,11,16,22,43,44,86,88,172,176,344,473,688,946,1892,3784,7568

Greatest Common Factor

We found the factors 4682,7568 . The biggest common factor number is the GCF number.
So the greatest common factor 4682,7568 is 2.

Lets's calculate LCM of 925,874

Given numbers has no common factors except 1. So, there LCM is their product i.e 808450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/808450

Therefore, the GCF of Fractions 4682/925,7568/874 is 2/808450

Least Common Multiple of 925,874 with GCF Formula

Least Common Multiple of 925,874 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 925,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,874) = 1

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

GCF(925,874) x common factors =1 x 1 = 1

LCM(925,874) = ( 925 × 874 ) / 1

LCM(925,874) = 808450 / 1

LCM(925,874) = 808450


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 4682/925, 7568/874

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 4682/925, 7568/874?

Answer: GCF of Numerators as per given numbers 4682/925, 7568/874 is

GCF of Numerators i.e. for 4682,7568 is 2

LCM of denominators i.e. for 925,874 is 808450.

Thus, GCF of Fractions is 2/808450.Finally, GCF of Fractions for 4682/925, 7568/874 is 2/808450.