Greatest Common Factor of 226/52, 848/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 226/52, 848/284

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 226/52,848/284

Given fractions are 226/52,848/284

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 226,848

Greatest Common Factor of Numerators i.e. GCF of 226,848 is 2 .

LCM of Denominators means LCM of 52,284 as per the given fractions.

LCM of 52,284 is 3692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 226,848

GCF of Fractions 226/52,848/284 is 2/3692

2 226, 848
113, 424

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

Greatest Common Factor of 226,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,848 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

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 226,848 . The biggest common factor number is the GCF number.
So the greatest common factor 226,848 is 2.

Lets's calculate LCM of 52,284

2 52, 284
2 26, 142
13, 71

∴ So the LCM of the given numbers is 2 x 2 x 13 x 71 = 3692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3692

Therefore, the GCF of Fractions 226/52,848/284 is 2/3692

Least Common Multiple of 52,284 with GCF Formula

Least Common Multiple of 52,284 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 52,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,284) = 4

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

GCF(52,284) x common factors =4 x 1 = 4

LCM(52,284) = ( 52 × 284 ) / 4

LCM(52,284) = 14768 / 4

LCM(52,284) = 3692


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 226/52, 848/284

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 226/52, 848/284?

Answer: GCF of Numerators as per given numbers 226/52, 848/284 is

GCF of Numerators i.e. for 226,848 is 2

LCM of denominators i.e. for 52,284 is 3692.

Thus, GCF of Fractions is 2/3692.Finally, GCF of Fractions for 226/52, 848/284 is 2/3692.