Greatest Common Factor of 9065/54, 1750/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9065/54, 1750/110

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 9065/54,1750/110

Given fractions are 9065/54,1750/110

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 9065,1750

Greatest Common Factor of Numerators i.e. GCF of 9065,1750 is 35 .

LCM of Denominators means LCM of 54,110 as per the given fractions.

LCM of 54,110 is 2970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9065,1750

GCF of Fractions 9065/54,1750/110 is 35/2970

5 9065, 1750
7 1813, 350
259, 50

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 9065,1750 By Matching Biggest Common Factor Method

Greatest Common Factor of 9065,1750 By Matching Biggest Common Factor Method

Factors of 9065

List of positive integer factors of 9065 that divides 9065 without a remainder.

1,5,7,35,37,49,185,245,259,1295,1813,9065

Factors of 1750

List of positive integer factors of 1750 that divides 1750 without a remainder.

1,2,5,7,10,14,25,35,50,70,125,175,250,350,875,1750

Greatest Common Factor

We found the factors 9065,1750 . The biggest common factor number is the GCF number.
So the greatest common factor 9065,1750 is 35.

Lets's calculate LCM of 54,110

2 54, 110
27, 55

∴ So the LCM of the given numbers is 2 x 27 x 55 = 2970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/2970

Therefore, the GCF of Fractions 9065/54,1750/110 is 35/2970

Least Common Multiple of 54,110 with GCF Formula

Least Common Multiple of 54,110 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 54,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,110) = 2

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

GCF(54,110) x common factors =2 x 1 = 2

LCM(54,110) = ( 54 × 110 ) / 2

LCM(54,110) = 5940 / 2

LCM(54,110) = 2970


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 9065/54, 1750/110

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 9065/54, 1750/110?

Answer: GCF of Numerators as per given numbers 9065/54, 1750/110 is

GCF of Numerators i.e. for 9065,1750 is 35

LCM of denominators i.e. for 54,110 is 2970.

Thus, GCF of Fractions is 35/2970.Finally, GCF of Fractions for 9065/54, 1750/110 is 35/2970.