Greatest Common Factor of 1912/66, 1532/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1912/66, 1532/561

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 1912/66,1532/561

Given fractions are 1912/66,1532/561

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 1912,1532

Greatest Common Factor of Numerators i.e. GCF of 1912,1532 is 4 .

LCM of Denominators means LCM of 66,561 as per the given fractions.

LCM of 66,561 is 1122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1912,1532

GCF of Fractions 1912/66,1532/561 is 4/1122

2 1912, 1532
2 956, 766
478, 383

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

Greatest Common Factor of 1912,1532 By Matching Biggest Common Factor Method

Greatest Common Factor of 1912,1532 By Matching Biggest Common Factor Method

Factors of 1912

List of positive integer factors of 1912 that divides 1912 without a remainder.

1,2,4,8,239,478,956,1912

Factors of 1532

List of positive integer factors of 1532 that divides 1532 without a remainder.

1,2,4,383,766,1532

Greatest Common Factor

We found the factors 1912,1532 . The biggest common factor number is the GCF number.
So the greatest common factor 1912,1532 is 4.

Lets's calculate LCM of 66,561

3 66, 561
11 22, 187
2, 17

∴ So the LCM of the given numbers is 3 x 11 x 2 x 17 = 1122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1122

Therefore, the GCF of Fractions 1912/66,1532/561 is 4/1122

Least Common Multiple of 66,561 with GCF Formula

Least Common Multiple of 66,561 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 66,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,561) = 33

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

GCF(66,561) x common factors =33 x 1 = 33

LCM(66,561) = ( 66 × 561 ) / 33

LCM(66,561) = 37026 / 33

LCM(66,561) = 1122


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 1912/66, 1532/561

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 1912/66, 1532/561?

Answer: GCF of Numerators as per given numbers 1912/66, 1532/561 is

GCF of Numerators i.e. for 1912,1532 is 4

LCM of denominators i.e. for 66,561 is 1122.

Thus, GCF of Fractions is 4/1122.Finally, GCF of Fractions for 1912/66, 1532/561 is 4/1122.