Greatest Common Factor of 766/189, 3364/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 766/189, 3364/925

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 766/189,3364/925

Given fractions are 766/189,3364/925

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 766,3364

Greatest Common Factor of Numerators i.e. GCF of 766,3364 is 2 .

LCM of Denominators means LCM of 189,925 as per the given fractions.

LCM of 189,925 is 174825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 766,3364

GCF of Fractions 766/189,3364/925 is 2/174825

2 766, 3364
383, 1682

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

Greatest Common Factor of 766,3364 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,3364 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 3364

List of positive integer factors of 3364 that divides 3364 without a remainder.

1,2,4,29,58,116,841,1682,3364

Greatest Common Factor

We found the factors 766,3364 . The biggest common factor number is the GCF number.
So the greatest common factor 766,3364 is 2.

Lets's calculate LCM of 189,925

Given numbers has no common factors except 1. So, there LCM is their product i.e 174825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/174825

Therefore, the GCF of Fractions 766/189,3364/925 is 2/174825

Least Common Multiple of 189,925 with GCF Formula

Least Common Multiple of 189,925 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 189,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,925) = 1

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

GCF(189,925) x common factors =1 x 1 = 1

LCM(189,925) = ( 189 × 925 ) / 1

LCM(189,925) = 174825 / 1

LCM(189,925) = 174825


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 766/189, 3364/925

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 766/189, 3364/925?

Answer: GCF of Numerators as per given numbers 766/189, 3364/925 is

GCF of Numerators i.e. for 766,3364 is 2

LCM of denominators i.e. for 189,925 is 174825.

Thus, GCF of Fractions is 2/174825.Finally, GCF of Fractions for 766/189, 3364/925 is 2/174825.