Greatest Common Factor of 2100/492, 8225/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2100/492, 8225/674

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 2100/492,8225/674

Given fractions are 2100/492,8225/674

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 2100,8225

Greatest Common Factor of Numerators i.e. GCF of 2100,8225 is 175 .

LCM of Denominators means LCM of 492,674 as per the given fractions.

LCM of 492,674 is 165804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2100,8225

GCF of Fractions 2100/492,8225/674 is 175/165804

5 2100, 8225
5 420, 1645
7 84, 329
12, 47

∴ So the GCF of the given numbers is 5 x 5 x 7 = 175

Greatest Common Factor of 2100,8225 By Matching Biggest Common Factor Method

Greatest Common Factor of 2100,8225 By Matching Biggest Common Factor Method

Factors of 2100

List of positive integer factors of 2100 that divides 2100 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100

Factors of 8225

List of positive integer factors of 8225 that divides 8225 without a remainder.

1,5,7,25,35,47,175,235,329,1175,1645,8225

Greatest Common Factor

We found the factors 2100,8225 . The biggest common factor number is the GCF number.
So the greatest common factor 2100,8225 is 175.

Lets's calculate LCM of 492,674

2 492, 674
246, 337

∴ So the LCM of the given numbers is 2 x 246 x 337 = 165804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 175/165804

Therefore, the GCF of Fractions 2100/492,8225/674 is 175/165804

Least Common Multiple of 492,674 with GCF Formula

Least Common Multiple of 492,674 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 492,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,674) = 2

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

GCF(492,674) x common factors =2 x 1 = 2

LCM(492,674) = ( 492 × 674 ) / 2

LCM(492,674) = 331608 / 2

LCM(492,674) = 165804


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 2100/492, 8225/674

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 2100/492, 8225/674?

Answer: GCF of Numerators as per given numbers 2100/492, 8225/674 is

GCF of Numerators i.e. for 2100,8225 is 175

LCM of denominators i.e. for 492,674 is 165804.

Thus, GCF of Fractions is 175/165804.Finally, GCF of Fractions for 2100/492, 8225/674 is 175/165804.