Greatest Common Factor of 1677/84, 4524/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1677/84, 4524/974

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 1677/84,4524/974

Given fractions are 1677/84,4524/974

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 1677,4524

Greatest Common Factor of Numerators i.e. GCF of 1677,4524 is 39 .

LCM of Denominators means LCM of 84,974 as per the given fractions.

LCM of 84,974 is 40908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1677,4524

GCF of Fractions 1677/84,4524/974 is 39/40908

3 1677, 4524
13 559, 1508
43, 116

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 1677,4524 By Matching Biggest Common Factor Method

Greatest Common Factor of 1677,4524 By Matching Biggest Common Factor Method

Factors of 1677

List of positive integer factors of 1677 that divides 1677 without a remainder.

1,3,13,39,43,129,559,1677

Factors of 4524

List of positive integer factors of 4524 that divides 4524 without a remainder.

1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524

Greatest Common Factor

We found the factors 1677,4524 . The biggest common factor number is the GCF number.
So the greatest common factor 1677,4524 is 39.

Lets's calculate LCM of 84,974

2 84, 974
42, 487

∴ So the LCM of the given numbers is 2 x 42 x 487 = 40908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/40908

Therefore, the GCF of Fractions 1677/84,4524/974 is 39/40908

Least Common Multiple of 84,974 with GCF Formula

Least Common Multiple of 84,974 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 84,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,974) = 2

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

GCF(84,974) x common factors =2 x 1 = 2

LCM(84,974) = ( 84 × 974 ) / 2

LCM(84,974) = 81816 / 2

LCM(84,974) = 40908


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 1677/84, 4524/974

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 1677/84, 4524/974?

Answer: GCF of Numerators as per given numbers 1677/84, 4524/974 is

GCF of Numerators i.e. for 1677,4524 is 39

LCM of denominators i.e. for 84,974 is 40908.

Thus, GCF of Fractions is 39/40908.Finally, GCF of Fractions for 1677/84, 4524/974 is 39/40908.