Greatest Common Factor of 5055/32, 3550/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5055/32, 3550/776

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 5055/32,3550/776

Given fractions are 5055/32,3550/776

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 5055,3550

Greatest Common Factor of Numerators i.e. GCF of 5055,3550 is 5 .

LCM of Denominators means LCM of 32,776 as per the given fractions.

LCM of 32,776 is 3104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5055,3550

GCF of Fractions 5055/32,3550/776 is 5/3104

5 5055, 3550
1011, 710

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5055,3550 By Matching Biggest Common Factor Method

Greatest Common Factor of 5055,3550 By Matching Biggest Common Factor Method

Factors of 5055

List of positive integer factors of 5055 that divides 5055 without a remainder.

1,3,5,15,337,1011,1685,5055

Factors of 3550

List of positive integer factors of 3550 that divides 3550 without a remainder.

1,2,5,10,25,50,71,142,355,710,1775,3550

Greatest Common Factor

We found the factors 5055,3550 . The biggest common factor number is the GCF number.
So the greatest common factor 5055,3550 is 5.

Lets's calculate LCM of 32,776

2 32, 776
2 16, 388
2 8, 194
4, 97

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 97 = 3104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3104

Therefore, the GCF of Fractions 5055/32,3550/776 is 5/3104

Least Common Multiple of 32,776 with GCF Formula

Least Common Multiple of 32,776 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 32,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,776) = 8

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

GCF(32,776) x common factors =8 x 1 = 8

LCM(32,776) = ( 32 × 776 ) / 8

LCM(32,776) = 24832 / 8

LCM(32,776) = 3104


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 5055/32, 3550/776

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 5055/32, 3550/776?

Answer: GCF of Numerators as per given numbers 5055/32, 3550/776 is

GCF of Numerators i.e. for 5055,3550 is 5

LCM of denominators i.e. for 32,776 is 3104.

Thus, GCF of Fractions is 5/3104.Finally, GCF of Fractions for 5055/32, 3550/776 is 5/3104.