Greatest Common Factor of 757/16, 214/96, 821/52

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 757/16, 214/96, 821/52

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 757/16,214/96,821/52

Given fractions are 757/16,214/96,821/52

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 757,214,821

Greatest Common Factor of Numerators i.e. GCF of 757,214,821 is 1 .

LCM of Denominators means LCM of 16,96,52 as per the given fractions.

LCM of 16,96,52 is 1248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 757,214,821

GCF of Fractions 757/16,214/96,821/52 is 1/1248

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

Greatest Common Factor of 757,214,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,214,821 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 757,214,821 . The biggest common factor number is the GCF number.
So the greatest common factor 757,214,821 is 1.

Lets's calculate LCM of 16,96,52

2 16, 96, 52
2 8, 48, 26
2 4, 24, 13
2 2, 12, 13
1, 6, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 6 x 13 = 1248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1248

Therefore, the GCF of Fractions 757/16,214/96,821/52 is 1/1248

Least Common Multiple of 16,96,52 with GCF Formula

Least Common Multiple of 16,96,52 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 16,96,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,96,52) = 4

common factors(in case of two or more numbers have common factors) = 16

GCF(16,96,52) x common factors =4 x 16 = 64

LCM(16,96,52) = ( 16 × 96 × 52 ) / 64

LCM(16,96,52) = 79872 / 64

LCM(16,96,52) = 1248


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 757/16, 214/96, 821/52

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 757/16, 214/96, 821/52?

Answer: GCF of Numerators as per given numbers 757/16, 214/96, 821/52 is

GCF of Numerators i.e. for 757,214,821 is 1

LCM of denominators i.e. for 16,96,52 is 1248.

Thus, GCF of Fractions is 1/1248.Finally, GCF of Fractions for 757/16, 214/96, 821/52 is 1/1248.