Greatest Common Factor of 742/325, 506/853, 776/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/325, 506/853, 776/859

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 742/325,506/853,776/859

Given fractions are 742/325,506/853,776/859

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 742,506,776

Greatest Common Factor of Numerators i.e. GCF of 742,506,776 is 2 .

LCM of Denominators means LCM of 325,853,859 as per the given fractions.

LCM of 325,853,859 is 238136275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,506,776

GCF of Fractions 742/325,506/853,776/859 is 2/238136275

2 742, 506, 776
371, 253, 388

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 742,506,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,506,776 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 742,506,776 . The biggest common factor number is the GCF number.
So the greatest common factor 742,506,776 is 2.

Lets's calculate LCM of 325,853,859

Given numbers has no common factors except 1. So, there LCM is their product i.e 238136275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/238136275

Therefore, the GCF of Fractions 742/325,506/853,776/859 is 2/238136275

Least Common Multiple of 325,853,859 with GCF Formula

Least Common Multiple of 325,853,859 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 325,853,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,853,859) = 1

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

GCF(325,853,859) x common factors =1 x 1 = 1

LCM(325,853,859) = ( 325 × 853 × 859 ) / 1

LCM(325,853,859) = 238136275 / 1

LCM(325,853,859) = 238136275


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 742/325, 506/853, 776/859

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 742/325, 506/853, 776/859?

Answer: GCF of Numerators as per given numbers 742/325, 506/853, 776/859 is

GCF of Numerators i.e. for 742,506,776 is 2

LCM of denominators i.e. for 325,853,859 is 238136275.

Thus, GCF of Fractions is 2/238136275.Finally, GCF of Fractions for 742/325, 506/853, 776/859 is 2/238136275.