Greatest Common Factor of 8725/858, 6525/1674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8725/858, 6525/1674

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 8725/858,6525/1674

Given fractions are 8725/858,6525/1674

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 8725,6525

Greatest Common Factor of Numerators i.e. GCF of 8725,6525 is 25 .

LCM of Denominators means LCM of 858,1674 as per the given fractions.

LCM of 858,1674 is 239382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8725,6525

GCF of Fractions 8725/858,6525/1674 is 25/239382

5 8725, 6525
5 1745, 1305
349, 261

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 8725,6525 By Matching Biggest Common Factor Method

Greatest Common Factor of 8725,6525 By Matching Biggest Common Factor Method

Factors of 8725

List of positive integer factors of 8725 that divides 8725 without a remainder.

1,5,25,349,1745,8725

Factors of 6525

List of positive integer factors of 6525 that divides 6525 without a remainder.

1,3,5,9,15,25,29,45,75,87,145,225,261,435,725,1305,2175,6525

Greatest Common Factor

We found the factors 8725,6525 . The biggest common factor number is the GCF number.
So the greatest common factor 8725,6525 is 25.

Lets's calculate LCM of 858,1674

2 858, 1674
3 429, 837
143, 279

∴ So the LCM of the given numbers is 2 x 3 x 143 x 279 = 239382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/239382

Therefore, the GCF of Fractions 8725/858,6525/1674 is 25/239382

Least Common Multiple of 858,1674 with GCF Formula

Least Common Multiple of 858,1674 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 858,1674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,1674) = 6

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

GCF(858,1674) x common factors =6 x 1 = 6

LCM(858,1674) = ( 858 × 1674 ) / 6

LCM(858,1674) = 1436292 / 6

LCM(858,1674) = 239382


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 8725/858, 6525/1674

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 8725/858, 6525/1674?

Answer: GCF of Numerators as per given numbers 8725/858, 6525/1674 is

GCF of Numerators i.e. for 8725,6525 is 25

LCM of denominators i.e. for 858,1674 is 239382.

Thus, GCF of Fractions is 25/239382.Finally, GCF of Fractions for 8725/858, 6525/1674 is 25/239382.