Greatest Common Factor of 1145/955, 3525/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1145/955, 3525/108

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 1145/955,3525/108

Given fractions are 1145/955,3525/108

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 1145,3525

Greatest Common Factor of Numerators i.e. GCF of 1145,3525 is 5 .

LCM of Denominators means LCM of 955,108 as per the given fractions.

LCM of 955,108 is 103140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1145,3525

GCF of Fractions 1145/955,3525/108 is 5/103140

5 1145, 3525
229, 705

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

Greatest Common Factor of 1145,3525 By Matching Biggest Common Factor Method

Greatest Common Factor of 1145,3525 By Matching Biggest Common Factor Method

Factors of 1145

List of positive integer factors of 1145 that divides 1145 without a remainder.

1,5,229,1145

Factors of 3525

List of positive integer factors of 3525 that divides 3525 without a remainder.

1,3,5,15,25,47,75,141,235,705,1175,3525

Greatest Common Factor

We found the factors 1145,3525 . The biggest common factor number is the GCF number.
So the greatest common factor 1145,3525 is 5.

Lets's calculate LCM of 955,108

Given numbers has no common factors except 1. So, there LCM is their product i.e 103140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/103140

Therefore, the GCF of Fractions 1145/955,3525/108 is 5/103140

Least Common Multiple of 955,108 with GCF Formula

Least Common Multiple of 955,108 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 955,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,108) = 1

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

GCF(955,108) x common factors =1 x 1 = 1

LCM(955,108) = ( 955 × 108 ) / 1

LCM(955,108) = 103140 / 1

LCM(955,108) = 103140


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 1145/955, 3525/108

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 1145/955, 3525/108?

Answer: GCF of Numerators as per given numbers 1145/955, 3525/108 is

GCF of Numerators i.e. for 1145,3525 is 5

LCM of denominators i.e. for 955,108 is 103140.

Thus, GCF of Fractions is 5/103140.Finally, GCF of Fractions for 1145/955, 3525/108 is 5/103140.