Greatest Common Factor of 411/702, 738/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 411/702, 738/764

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 411/702,738/764

Given fractions are 411/702,738/764

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 411,738

Greatest Common Factor of Numerators i.e. GCF of 411,738 is 3 .

LCM of Denominators means LCM of 702,764 as per the given fractions.

LCM of 702,764 is 268164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 411,738

GCF of Fractions 411/702,738/764 is 3/268164

3 411, 738
137, 246

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 411,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,738 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 411,738 . The biggest common factor number is the GCF number.
So the greatest common factor 411,738 is 3.

Lets's calculate LCM of 702,764

2 702, 764
351, 382

∴ So the LCM of the given numbers is 2 x 351 x 382 = 268164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/268164

Therefore, the GCF of Fractions 411/702,738/764 is 3/268164

Least Common Multiple of 702,764 with GCF Formula

Least Common Multiple of 702,764 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 702,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,764) = 2

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

GCF(702,764) x common factors =2 x 1 = 2

LCM(702,764) = ( 702 × 764 ) / 2

LCM(702,764) = 536328 / 2

LCM(702,764) = 268164


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 411/702, 738/764

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 411/702, 738/764?

Answer: GCF of Numerators as per given numbers 411/702, 738/764 is

GCF of Numerators i.e. for 411,738 is 3

LCM of denominators i.e. for 702,764 is 268164.

Thus, GCF of Fractions is 3/268164.Finally, GCF of Fractions for 411/702, 738/764 is 3/268164.