Greatest Common Factor of 51/19, 77/63, 275/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/19, 77/63, 275/404

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 51/19,77/63,275/404

Given fractions are 51/19,77/63,275/404

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 51,77,275

Greatest Common Factor of Numerators i.e. GCF of 51,77,275 is 1 .

LCM of Denominators means LCM of 19,63,404 as per the given fractions.

LCM of 19,63,404 is 483588 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,77,275

GCF of Fractions 51/19,77/63,275/404 is 1/483588

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

Greatest Common Factor of 51,77,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,77,275 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 51,77,275 . The biggest common factor number is the GCF number.
So the greatest common factor 51,77,275 is 1.

Lets's calculate LCM of 19,63,404

Given numbers has no common factors except 1. So, there LCM is their product i.e 483588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/483588

Therefore, the GCF of Fractions 51/19,77/63,275/404 is 1/483588

Least Common Multiple of 19,63,404 with GCF Formula

Least Common Multiple of 19,63,404 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 19,63,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,63,404) = 1

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

GCF(19,63,404) x common factors =1 x 1 = 1

LCM(19,63,404) = ( 19 × 63 × 404 ) / 1

LCM(19,63,404) = 483588 / 1

LCM(19,63,404) = 483588


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 51/19, 77/63, 275/404

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 51/19, 77/63, 275/404?

Answer: GCF of Numerators as per given numbers 51/19, 77/63, 275/404 is

GCF of Numerators i.e. for 51,77,275 is 1

LCM of denominators i.e. for 19,63,404 is 483588.

Thus, GCF of Fractions is 1/483588.Finally, GCF of Fractions for 51/19, 77/63, 275/404 is 1/483588.