Greatest Common Factor of 1054/333, 7664/4138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1054/333, 7664/4138

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 1054/333,7664/4138

Given fractions are 1054/333,7664/4138

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 1054,7664

Greatest Common Factor of Numerators i.e. GCF of 1054,7664 is 2 .

LCM of Denominators means LCM of 333,4138 as per the given fractions.

LCM of 333,4138 is 1377954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1054,7664

GCF of Fractions 1054/333,7664/4138 is 2/1377954

2 1054, 7664
527, 3832

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

Greatest Common Factor of 1054,7664 By Matching Biggest Common Factor Method

Greatest Common Factor of 1054,7664 By Matching Biggest Common Factor Method

Factors of 1054

List of positive integer factors of 1054 that divides 1054 without a remainder.

1,2,17,31,34,62,527,1054

Factors of 7664

List of positive integer factors of 7664 that divides 7664 without a remainder.

1,2,4,8,16,479,958,1916,3832,7664

Greatest Common Factor

We found the factors 1054,7664 . The biggest common factor number is the GCF number.
So the greatest common factor 1054,7664 is 2.

Lets's calculate LCM of 333,4138

Given numbers has no common factors except 1. So, there LCM is their product i.e 1377954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1377954

Therefore, the GCF of Fractions 1054/333,7664/4138 is 2/1377954

Least Common Multiple of 333,4138 with GCF Formula

Least Common Multiple of 333,4138 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 333,4138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,4138) = 1

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

GCF(333,4138) x common factors =1 x 1 = 1

LCM(333,4138) = ( 333 × 4138 ) / 1

LCM(333,4138) = 1377954 / 1

LCM(333,4138) = 1377954


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 1054/333, 7664/4138

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 1054/333, 7664/4138?

Answer: GCF of Numerators as per given numbers 1054/333, 7664/4138 is

GCF of Numerators i.e. for 1054,7664 is 2

LCM of denominators i.e. for 333,4138 is 1377954.

Thus, GCF of Fractions is 2/1377954.Finally, GCF of Fractions for 1054/333, 7664/4138 is 2/1377954.