Greatest Common Factor of 2152/64, 1773/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2152/64, 1773/762

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 2152/64,1773/762

Given fractions are 2152/64,1773/762

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 2152,1773

Greatest Common Factor of Numerators i.e. GCF of 2152,1773 is 1 .

LCM of Denominators means LCM of 64,762 as per the given fractions.

LCM of 64,762 is 24384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2152,1773

GCF of Fractions 2152/64,1773/762 is 1/24384

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2152,1773 By Matching Biggest Common Factor Method

Greatest Common Factor of 2152,1773 By Matching Biggest Common Factor Method

Factors of 2152

List of positive integer factors of 2152 that divides 2152 without a remainder.

1,2,4,8,269,538,1076,2152

Factors of 1773

List of positive integer factors of 1773 that divides 1773 without a remainder.

1,3,9,197,591,1773

Greatest Common Factor

We found the factors 2152,1773 . The biggest common factor number is the GCF number.
So the greatest common factor 2152,1773 is 1.

Lets's calculate LCM of 64,762

2 64, 762
32, 381

∴ So the LCM of the given numbers is 2 x 32 x 381 = 24384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24384

Therefore, the GCF of Fractions 2152/64,1773/762 is 1/24384

Least Common Multiple of 64,762 with GCF Formula

Least Common Multiple of 64,762 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 64,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,762) = 2

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

GCF(64,762) x common factors =2 x 1 = 2

LCM(64,762) = ( 64 × 762 ) / 2

LCM(64,762) = 48768 / 2

LCM(64,762) = 24384


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 2152/64, 1773/762

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 2152/64, 1773/762?

Answer: GCF of Numerators as per given numbers 2152/64, 1773/762 is

GCF of Numerators i.e. for 2152,1773 is 1

LCM of denominators i.e. for 64,762 is 24384.

Thus, GCF of Fractions is 1/24384.Finally, GCF of Fractions for 2152/64, 1773/762 is 1/24384.