Greatest Common Factor of 4260/452, 3292/4212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4260/452, 3292/4212

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 4260/452,3292/4212

Given fractions are 4260/452,3292/4212

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 4260,3292

Greatest Common Factor of Numerators i.e. GCF of 4260,3292 is 4 .

LCM of Denominators means LCM of 452,4212 as per the given fractions.

LCM of 452,4212 is 475956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4260,3292

GCF of Fractions 4260/452,3292/4212 is 4/475956

2 4260, 3292
2 2130, 1646
1065, 823

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4260,3292 By Matching Biggest Common Factor Method

Greatest Common Factor of 4260,3292 By Matching Biggest Common Factor Method

Factors of 4260

List of positive integer factors of 4260 that divides 4260 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,71,142,213,284,355,426,710,852,1065,1420,2130,4260

Factors of 3292

List of positive integer factors of 3292 that divides 3292 without a remainder.

1,2,4,823,1646,3292

Greatest Common Factor

We found the factors 4260,3292 . The biggest common factor number is the GCF number.
So the greatest common factor 4260,3292 is 4.

Lets's calculate LCM of 452,4212

2 452, 4212
2 226, 2106
113, 1053

∴ So the LCM of the given numbers is 2 x 2 x 113 x 1053 = 475956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/475956

Therefore, the GCF of Fractions 4260/452,3292/4212 is 4/475956

Least Common Multiple of 452,4212 with GCF Formula

Least Common Multiple of 452,4212 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 452,4212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,4212) = 4

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

GCF(452,4212) x common factors =4 x 1 = 4

LCM(452,4212) = ( 452 × 4212 ) / 4

LCM(452,4212) = 1903824 / 4

LCM(452,4212) = 475956


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 4260/452, 3292/4212

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 4260/452, 3292/4212?

Answer: GCF of Numerators as per given numbers 4260/452, 3292/4212 is

GCF of Numerators i.e. for 4260,3292 is 4

LCM of denominators i.e. for 452,4212 is 475956.

Thus, GCF of Fractions is 4/475956.Finally, GCF of Fractions for 4260/452, 3292/4212 is 4/475956.