Greatest Common Factor of 551/58, 793/54, 764/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 551/58, 793/54, 764/388

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 551/58,793/54,764/388

Given fractions are 551/58,793/54,764/388

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 551,793,764

Greatest Common Factor of Numerators i.e. GCF of 551,793,764 is 1 .

LCM of Denominators means LCM of 58,54,388 as per the given fractions.

LCM of 58,54,388 is 303804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 551,793,764

GCF of Fractions 551/58,793/54,764/388 is 1/303804

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

Greatest Common Factor of 551,793,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,793,764 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 551,793,764 . The biggest common factor number is the GCF number.
So the greatest common factor 551,793,764 is 1.

Lets's calculate LCM of 58,54,388

2 58, 54, 388
29, 27, 194

∴ So the LCM of the given numbers is 2 x 29 x 27 x 194 = 303804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303804

Therefore, the GCF of Fractions 551/58,793/54,764/388 is 1/303804

Least Common Multiple of 58,54,388 with GCF Formula

Least Common Multiple of 58,54,388 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 58,54,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,54,388) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(58,54,388) x common factors =2 x 2 = 4

LCM(58,54,388) = ( 58 × 54 × 388 ) / 4

LCM(58,54,388) = 1215216 / 4

LCM(58,54,388) = 303804


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 551/58, 793/54, 764/388

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 551/58, 793/54, 764/388?

Answer: GCF of Numerators as per given numbers 551/58, 793/54, 764/388 is

GCF of Numerators i.e. for 551,793,764 is 1

LCM of denominators i.e. for 58,54,388 is 303804.

Thus, GCF of Fractions is 1/303804.Finally, GCF of Fractions for 551/58, 793/54, 764/388 is 1/303804.