Greatest Common Factor of 3722/55, 8456/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3722/55, 8456/208

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 3722/55,8456/208

Given fractions are 3722/55,8456/208

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 3722,8456

Greatest Common Factor of Numerators i.e. GCF of 3722,8456 is 2 .

LCM of Denominators means LCM of 55,208 as per the given fractions.

LCM of 55,208 is 11440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3722,8456

GCF of Fractions 3722/55,8456/208 is 2/11440

2 3722, 8456
1861, 4228

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

Greatest Common Factor of 3722,8456 By Matching Biggest Common Factor Method

Greatest Common Factor of 3722,8456 By Matching Biggest Common Factor Method

Factors of 3722

List of positive integer factors of 3722 that divides 3722 without a remainder.

1,2,1861,3722

Factors of 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456

Greatest Common Factor

We found the factors 3722,8456 . The biggest common factor number is the GCF number.
So the greatest common factor 3722,8456 is 2.

Lets's calculate LCM of 55,208

Given numbers has no common factors except 1. So, there LCM is their product i.e 11440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11440

Therefore, the GCF of Fractions 3722/55,8456/208 is 2/11440

Least Common Multiple of 55,208 with GCF Formula

Least Common Multiple of 55,208 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 55,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,208) = 1

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

GCF(55,208) x common factors =1 x 1 = 1

LCM(55,208) = ( 55 × 208 ) / 1

LCM(55,208) = 11440 / 1

LCM(55,208) = 11440


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 3722/55, 8456/208

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 3722/55, 8456/208?

Answer: GCF of Numerators as per given numbers 3722/55, 8456/208 is

GCF of Numerators i.e. for 3722,8456 is 2

LCM of denominators i.e. for 55,208 is 11440.

Thus, GCF of Fractions is 2/11440.Finally, GCF of Fractions for 3722/55, 8456/208 is 2/11440.