Greatest Common Factor of 542/827, 619/713, 851/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 542/827, 619/713, 851/614

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 542/827,619/713,851/614

Given fractions are 542/827,619/713,851/614

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 542,619,851

Greatest Common Factor of Numerators i.e. GCF of 542,619,851 is 1 .

LCM of Denominators means LCM of 827,713,614 as per the given fractions.

LCM of 827,713,614 is 362045714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 542,619,851

GCF of Fractions 542/827,619/713,851/614 is 1/362045714

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

Greatest Common Factor of 542,619,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,619,851 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 542,619,851 . The biggest common factor number is the GCF number.
So the greatest common factor 542,619,851 is 1.

Lets's calculate LCM of 827,713,614

Given numbers has no common factors except 1. So, there LCM is their product i.e 362045714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362045714

Therefore, the GCF of Fractions 542/827,619/713,851/614 is 1/362045714

Least Common Multiple of 827,713,614 with GCF Formula

Least Common Multiple of 827,713,614 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 827,713,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,713,614) = 1

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

GCF(827,713,614) x common factors =1 x 1 = 1

LCM(827,713,614) = ( 827 × 713 × 614 ) / 1

LCM(827,713,614) = 362045714 / 1

LCM(827,713,614) = 362045714


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 542/827, 619/713, 851/614

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 542/827, 619/713, 851/614?

Answer: GCF of Numerators as per given numbers 542/827, 619/713, 851/614 is

GCF of Numerators i.e. for 542,619,851 is 1

LCM of denominators i.e. for 827,713,614 is 362045714.

Thus, GCF of Fractions is 1/362045714.Finally, GCF of Fractions for 542/827, 619/713, 851/614 is 1/362045714.