Greatest Common Factor of 952/164, 1104/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 952/164, 1104/534

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 952/164,1104/534

Given fractions are 952/164,1104/534

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 952,1104

Greatest Common Factor of Numerators i.e. GCF of 952,1104 is 8 .

LCM of Denominators means LCM of 164,534 as per the given fractions.

LCM of 164,534 is 43788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 952,1104

GCF of Fractions 952/164,1104/534 is 8/43788

2 952, 1104
2 476, 552
2 238, 276
119, 138

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 952,1104 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,1104 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 1104

List of positive integer factors of 1104 that divides 1104 without a remainder.

1,2,3,4,6,8,12,16,23,24,46,48,69,92,138,184,276,368,552,1104

Greatest Common Factor

We found the factors 952,1104 . The biggest common factor number is the GCF number.
So the greatest common factor 952,1104 is 8.

Lets's calculate LCM of 164,534

2 164, 534
82, 267

∴ So the LCM of the given numbers is 2 x 82 x 267 = 43788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/43788

Therefore, the GCF of Fractions 952/164,1104/534 is 8/43788

Least Common Multiple of 164,534 with GCF Formula

Least Common Multiple of 164,534 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 164,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,534) = 2

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

GCF(164,534) x common factors =2 x 1 = 2

LCM(164,534) = ( 164 × 534 ) / 2

LCM(164,534) = 87576 / 2

LCM(164,534) = 43788


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 952/164, 1104/534

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 952/164, 1104/534?

Answer: GCF of Numerators as per given numbers 952/164, 1104/534 is

GCF of Numerators i.e. for 952,1104 is 8

LCM of denominators i.e. for 164,534 is 43788.

Thus, GCF of Fractions is 8/43788.Finally, GCF of Fractions for 952/164, 1104/534 is 8/43788.