Greatest Common Factor of 778/352, 5005/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 778/352, 5005/601

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 778/352,5005/601

Given fractions are 778/352,5005/601

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 778,5005

Greatest Common Factor of Numerators i.e. GCF of 778,5005 is 1 .

LCM of Denominators means LCM of 352,601 as per the given fractions.

LCM of 352,601 is 211552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 778,5005

GCF of Fractions 778/352,5005/601 is 1/211552

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 778,5005 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,5005 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 5005

List of positive integer factors of 5005 that divides 5005 without a remainder.

1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005

Greatest Common Factor

We found the factors 778,5005 . The biggest common factor number is the GCF number.
So the greatest common factor 778,5005 is 1.

Lets's calculate LCM of 352,601

Given numbers has no common factors except 1. So, there LCM is their product i.e 211552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211552

Therefore, the GCF of Fractions 778/352,5005/601 is 1/211552

Least Common Multiple of 352,601 with GCF Formula

Least Common Multiple of 352,601 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 352,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,601) = 1

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

GCF(352,601) x common factors =1 x 1 = 1

LCM(352,601) = ( 352 × 601 ) / 1

LCM(352,601) = 211552 / 1

LCM(352,601) = 211552


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 778/352, 5005/601

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 778/352, 5005/601?

Answer: GCF of Numerators as per given numbers 778/352, 5005/601 is

GCF of Numerators i.e. for 778,5005 is 1

LCM of denominators i.e. for 352,601 is 211552.

Thus, GCF of Fractions is 1/211552.Finally, GCF of Fractions for 778/352, 5005/601 is 1/211552.