Greatest Common Factor of 952/52, 4250/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 952/52, 4250/219

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 952/52,4250/219

Given fractions are 952/52,4250/219

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 952,4250

Greatest Common Factor of Numerators i.e. GCF of 952,4250 is 34 .

LCM of Denominators means LCM of 52,219 as per the given fractions.

LCM of 52,219 is 11388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 952,4250

GCF of Fractions 952/52,4250/219 is 34/11388

2 952, 4250
17 476, 2125
28, 125

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 952,4250 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,4250 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 4250

List of positive integer factors of 4250 that divides 4250 without a remainder.

1,2,5,10,17,25,34,50,85,125,170,250,425,850,2125,4250

Greatest Common Factor

We found the factors 952,4250 . The biggest common factor number is the GCF number.
So the greatest common factor 952,4250 is 34.

Lets's calculate LCM of 52,219

Given numbers has no common factors except 1. So, there LCM is their product i.e 11388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/11388

Therefore, the GCF of Fractions 952/52,4250/219 is 34/11388

Least Common Multiple of 52,219 with GCF Formula

Least Common Multiple of 52,219 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 52,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,219) = 1

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

GCF(52,219) x common factors =1 x 1 = 1

LCM(52,219) = ( 52 × 219 ) / 1

LCM(52,219) = 11388 / 1

LCM(52,219) = 11388


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 952/52, 4250/219

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 952/52, 4250/219?

Answer: GCF of Numerators as per given numbers 952/52, 4250/219 is

GCF of Numerators i.e. for 952,4250 is 34

LCM of denominators i.e. for 52,219 is 11388.

Thus, GCF of Fractions is 34/11388.Finally, GCF of Fractions for 952/52, 4250/219 is 34/11388.