Greatest Common Factor of 778/723, 6354/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 778/723, 6354/533

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 778/723,6354/533

Given fractions are 778/723,6354/533

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 778,6354

Greatest Common Factor of Numerators i.e. GCF of 778,6354 is 2 .

LCM of Denominators means LCM of 723,533 as per the given fractions.

LCM of 723,533 is 385359 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 778,6354

GCF of Fractions 778/723,6354/533 is 2/385359

2 778, 6354
389, 3177

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

Greatest Common Factor of 778,6354 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,6354 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 6354

List of positive integer factors of 6354 that divides 6354 without a remainder.

1,2,3,6,9,18,353,706,1059,2118,3177,6354

Greatest Common Factor

We found the factors 778,6354 . The biggest common factor number is the GCF number.
So the greatest common factor 778,6354 is 2.

Lets's calculate LCM of 723,533

Given numbers has no common factors except 1. So, there LCM is their product i.e 385359

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/385359

Therefore, the GCF of Fractions 778/723,6354/533 is 2/385359

Least Common Multiple of 723,533 with GCF Formula

Least Common Multiple of 723,533 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 723,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,533) = 1

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

GCF(723,533) x common factors =1 x 1 = 1

LCM(723,533) = ( 723 × 533 ) / 1

LCM(723,533) = 385359 / 1

LCM(723,533) = 385359


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 778/723, 6354/533

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 778/723, 6354/533?

Answer: GCF of Numerators as per given numbers 778/723, 6354/533 is

GCF of Numerators i.e. for 778,6354 is 2

LCM of denominators i.e. for 723,533 is 385359.

Thus, GCF of Fractions is 2/385359.Finally, GCF of Fractions for 778/723, 6354/533 is 2/385359.