Greatest Common Factor of 7348/211, 1260/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7348/211, 1260/844

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 7348/211,1260/844

Given fractions are 7348/211,1260/844

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 7348,1260

Greatest Common Factor of Numerators i.e. GCF of 7348,1260 is 4 .

LCM of Denominators means LCM of 211,844 as per the given fractions.

LCM of 211,844 is 844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7348,1260

GCF of Fractions 7348/211,1260/844 is 4/844

2 7348, 1260
2 3674, 630
1837, 315

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

Greatest Common Factor of 7348,1260 By Matching Biggest Common Factor Method

Greatest Common Factor of 7348,1260 By Matching Biggest Common Factor Method

Factors of 7348

List of positive integer factors of 7348 that divides 7348 without a remainder.

1,2,4,11,22,44,167,334,668,1837,3674,7348

Factors of 1260

List of positive integer factors of 1260 that divides 1260 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260

Greatest Common Factor

We found the factors 7348,1260 . The biggest common factor number is the GCF number.
So the greatest common factor 7348,1260 is 4.

Lets's calculate LCM of 211,844

211 211, 844
1, 4

∴ So the LCM of the given numbers is 211 x 1 x 4 = 844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/844

Therefore, the GCF of Fractions 7348/211,1260/844 is 4/844

Least Common Multiple of 211,844 with GCF Formula

Least Common Multiple of 211,844 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 211,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,844) = 211

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

GCF(211,844) x common factors =211 x 1 = 211

LCM(211,844) = ( 211 × 844 ) / 211

LCM(211,844) = 178084 / 211

LCM(211,844) = 844


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 7348/211, 1260/844

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 7348/211, 1260/844?

Answer: GCF of Numerators as per given numbers 7348/211, 1260/844 is

GCF of Numerators i.e. for 7348,1260 is 4

LCM of denominators i.e. for 211,844 is 844.

Thus, GCF of Fractions is 4/844.Finally, GCF of Fractions for 7348/211, 1260/844 is 4/844.