Greatest Common Factor of 69/53, 26/75, 848/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/53, 26/75, 848/949

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 69/53,26/75,848/949

Given fractions are 69/53,26/75,848/949

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 69,26,848

Greatest Common Factor of Numerators i.e. GCF of 69,26,848 is 1 .

LCM of Denominators means LCM of 53,75,949 as per the given fractions.

LCM of 53,75,949 is 3772275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,26,848

GCF of Fractions 69/53,26/75,848/949 is 1/3772275

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 69,26,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,26,848 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 69,26,848 . The biggest common factor number is the GCF number.
So the greatest common factor 69,26,848 is 1.

Lets's calculate LCM of 53,75,949

Given numbers has no common factors except 1. So, there LCM is their product i.e 3772275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3772275

Therefore, the GCF of Fractions 69/53,26/75,848/949 is 1/3772275

Least Common Multiple of 53,75,949 with GCF Formula

Least Common Multiple of 53,75,949 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 53,75,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,75,949) = 1

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

GCF(53,75,949) x common factors =1 x 1 = 1

LCM(53,75,949) = ( 53 × 75 × 949 ) / 1

LCM(53,75,949) = 3772275 / 1

LCM(53,75,949) = 3772275


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 69/53, 26/75, 848/949

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 69/53, 26/75, 848/949?

Answer: GCF of Numerators as per given numbers 69/53, 26/75, 848/949 is

GCF of Numerators i.e. for 69,26,848 is 1

LCM of denominators i.e. for 53,75,949 is 3772275.

Thus, GCF of Fractions is 1/3772275.Finally, GCF of Fractions for 69/53, 26/75, 848/949 is 1/3772275.