Greatest Common Factor of 3511/25, 7824/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3511/25, 7824/265

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 3511/25,7824/265

Given fractions are 3511/25,7824/265

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 3511,7824

Greatest Common Factor of Numerators i.e. GCF of 3511,7824 is 1 .

LCM of Denominators means LCM of 25,265 as per the given fractions.

LCM of 25,265 is 1325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3511,7824

GCF of Fractions 3511/25,7824/265 is 1/1325

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

Greatest Common Factor of 3511,7824 By Matching Biggest Common Factor Method

Greatest Common Factor of 3511,7824 By Matching Biggest Common Factor Method

Factors of 3511

List of positive integer factors of 3511 that divides 3511 without a remainder.

1,3511

Factors of 7824

List of positive integer factors of 7824 that divides 7824 without a remainder.

1,2,3,4,6,8,12,16,24,48,163,326,489,652,978,1304,1956,2608,3912,7824

Greatest Common Factor

We found the factors 3511,7824 . The biggest common factor number is the GCF number.
So the greatest common factor 3511,7824 is 1.

Lets's calculate LCM of 25,265

5 25, 265
5, 53

∴ So the LCM of the given numbers is 5 x 5 x 53 = 1325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1325

Therefore, the GCF of Fractions 3511/25,7824/265 is 1/1325

Least Common Multiple of 25,265 with GCF Formula

Least Common Multiple of 25,265 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 25,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,265) = 5

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

GCF(25,265) x common factors =5 x 1 = 5

LCM(25,265) = ( 25 × 265 ) / 5

LCM(25,265) = 6625 / 5

LCM(25,265) = 1325


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 3511/25, 7824/265

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 3511/25, 7824/265?

Answer: GCF of Numerators as per given numbers 3511/25, 7824/265 is

GCF of Numerators i.e. for 3511,7824 is 1

LCM of denominators i.e. for 25,265 is 1325.

Thus, GCF of Fractions is 1/1325.Finally, GCF of Fractions for 3511/25, 7824/265 is 1/1325.