Greatest Common Factor of 353/74, 5025/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 353/74, 5025/511

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 353/74,5025/511

Given fractions are 353/74,5025/511

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 353,5025

Greatest Common Factor of Numerators i.e. GCF of 353,5025 is 1 .

LCM of Denominators means LCM of 74,511 as per the given fractions.

LCM of 74,511 is 37814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 353,5025

GCF of Fractions 353/74,5025/511 is 1/37814

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

Greatest Common Factor of 353,5025 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,5025 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 5025

List of positive integer factors of 5025 that divides 5025 without a remainder.

1,3,5,15,25,67,75,201,335,1005,1675,5025

Greatest Common Factor

We found the factors 353,5025 . The biggest common factor number is the GCF number.
So the greatest common factor 353,5025 is 1.

Lets's calculate LCM of 74,511

Given numbers has no common factors except 1. So, there LCM is their product i.e 37814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37814

Therefore, the GCF of Fractions 353/74,5025/511 is 1/37814

Least Common Multiple of 74,511 with GCF Formula

Least Common Multiple of 74,511 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 74,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,511) = 1

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

GCF(74,511) x common factors =1 x 1 = 1

LCM(74,511) = ( 74 × 511 ) / 1

LCM(74,511) = 37814 / 1

LCM(74,511) = 37814


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 353/74, 5025/511

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 353/74, 5025/511?

Answer: GCF of Numerators as per given numbers 353/74, 5025/511 is

GCF of Numerators i.e. for 353,5025 is 1

LCM of denominators i.e. for 74,511 is 37814.

Thus, GCF of Fractions is 1/37814.Finally, GCF of Fractions for 353/74, 5025/511 is 1/37814.