Greatest Common Factor of 3452/531, 3870/1176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3452/531, 3870/1176

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 3452/531,3870/1176

Given fractions are 3452/531,3870/1176

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 3452,3870

Greatest Common Factor of Numerators i.e. GCF of 3452,3870 is 2 .

LCM of Denominators means LCM of 531,1176 as per the given fractions.

LCM of 531,1176 is 208152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3452,3870

GCF of Fractions 3452/531,3870/1176 is 2/208152

2 3452, 3870
1726, 1935

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

Greatest Common Factor of 3452,3870 By Matching Biggest Common Factor Method

Greatest Common Factor of 3452,3870 By Matching Biggest Common Factor Method

Factors of 3452

List of positive integer factors of 3452 that divides 3452 without a remainder.

1,2,4,863,1726,3452

Factors of 3870

List of positive integer factors of 3870 that divides 3870 without a remainder.

1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870

Greatest Common Factor

We found the factors 3452,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 3452,3870 is 2.

Lets's calculate LCM of 531,1176

3 531, 1176
177, 392

∴ So the LCM of the given numbers is 3 x 177 x 392 = 208152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208152

Therefore, the GCF of Fractions 3452/531,3870/1176 is 2/208152

Least Common Multiple of 531,1176 with GCF Formula

Least Common Multiple of 531,1176 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 531,1176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,1176) = 3

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

GCF(531,1176) x common factors =3 x 1 = 3

LCM(531,1176) = ( 531 × 1176 ) / 3

LCM(531,1176) = 624456 / 3

LCM(531,1176) = 208152


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3452/531, 3870/1176

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 3452/531, 3870/1176?

Answer: GCF of Numerators as per given numbers 3452/531, 3870/1176 is

GCF of Numerators i.e. for 3452,3870 is 2

LCM of denominators i.e. for 531,1176 is 208152.

Thus, GCF of Fractions is 2/208152.Finally, GCF of Fractions for 3452/531, 3870/1176 is 2/208152.