Greatest Common Factor of 9250/460, 3352/2169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9250/460, 3352/2169

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 9250/460,3352/2169

Given fractions are 9250/460,3352/2169

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 9250,3352

Greatest Common Factor of Numerators i.e. GCF of 9250,3352 is 2 .

LCM of Denominators means LCM of 460,2169 as per the given fractions.

LCM of 460,2169 is 997740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9250,3352

GCF of Fractions 9250/460,3352/2169 is 2/997740

2 9250, 3352
4625, 1676

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

Greatest Common Factor of 9250,3352 By Matching Biggest Common Factor Method

Greatest Common Factor of 9250,3352 By Matching Biggest Common Factor Method

Factors of 9250

List of positive integer factors of 9250 that divides 9250 without a remainder.

1,2,5,10,25,37,50,74,125,185,250,370,925,1850,4625,9250

Factors of 3352

List of positive integer factors of 3352 that divides 3352 without a remainder.

1,2,4,8,419,838,1676,3352

Greatest Common Factor

We found the factors 9250,3352 . The biggest common factor number is the GCF number.
So the greatest common factor 9250,3352 is 2.

Lets's calculate LCM of 460,2169

Given numbers has no common factors except 1. So, there LCM is their product i.e 997740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/997740

Therefore, the GCF of Fractions 9250/460,3352/2169 is 2/997740

Least Common Multiple of 460,2169 with GCF Formula

Least Common Multiple of 460,2169 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 460,2169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,2169) = 1

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

GCF(460,2169) x common factors =1 x 1 = 1

LCM(460,2169) = ( 460 × 2169 ) / 1

LCM(460,2169) = 997740 / 1

LCM(460,2169) = 997740


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 9250/460, 3352/2169

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 9250/460, 3352/2169?

Answer: GCF of Numerators as per given numbers 9250/460, 3352/2169 is

GCF of Numerators i.e. for 9250,3352 is 2

LCM of denominators i.e. for 460,2169 is 997740.

Thus, GCF of Fractions is 2/997740.Finally, GCF of Fractions for 9250/460, 3352/2169 is 2/997740.