Greatest Common Factor of 212/785, 1228/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 212/785, 1228/635

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 212/785,1228/635

Given fractions are 212/785,1228/635

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 212,1228

Greatest Common Factor of Numerators i.e. GCF of 212,1228 is 4 .

LCM of Denominators means LCM of 785,635 as per the given fractions.

LCM of 785,635 is 99695 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 212,1228

GCF of Fractions 212/785,1228/635 is 4/99695

2 212, 1228
2 106, 614
53, 307

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 212,1228 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,1228 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 1228

List of positive integer factors of 1228 that divides 1228 without a remainder.

1,2,4,307,614,1228

Greatest Common Factor

We found the factors 212,1228 . The biggest common factor number is the GCF number.
So the greatest common factor 212,1228 is 4.

Lets's calculate LCM of 785,635

5 785, 635
157, 127

∴ So the LCM of the given numbers is 5 x 157 x 127 = 99695

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/99695

Therefore, the GCF of Fractions 212/785,1228/635 is 4/99695

Least Common Multiple of 785,635 with GCF Formula

Least Common Multiple of 785,635 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 785,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,635) = 5

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

GCF(785,635) x common factors =5 x 1 = 5

LCM(785,635) = ( 785 × 635 ) / 5

LCM(785,635) = 498475 / 5

LCM(785,635) = 99695


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 212/785, 1228/635

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 212/785, 1228/635?

Answer: GCF of Numerators as per given numbers 212/785, 1228/635 is

GCF of Numerators i.e. for 212,1228 is 4

LCM of denominators i.e. for 785,635 is 99695.

Thus, GCF of Fractions is 4/99695.Finally, GCF of Fractions for 212/785, 1228/635 is 4/99695.