Greatest Common Factor of 1729/875, 4095/9020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1729/875, 4095/9020

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 1729/875,4095/9020

Given fractions are 1729/875,4095/9020

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 1729,4095

Greatest Common Factor of Numerators i.e. GCF of 1729,4095 is 91 .

LCM of Denominators means LCM of 875,9020 as per the given fractions.

LCM of 875,9020 is 1578500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1729,4095

GCF of Fractions 1729/875,4095/9020 is 91/1578500

7 1729, 4095
13 247, 585
19, 45

∴ So the GCF of the given numbers is 7 x 13 = 91

Greatest Common Factor of 1729,4095 By Matching Biggest Common Factor Method

Greatest Common Factor of 1729,4095 By Matching Biggest Common Factor Method

Factors of 1729

List of positive integer factors of 1729 that divides 1729 without a remainder.

1,7,13,19,91,133,247,1729

Factors of 4095

List of positive integer factors of 4095 that divides 4095 without a remainder.

1,3,5,7,9,13,15,21,35,39,45,63,65,91,105,117,195,273,315,455,585,819,1365,4095

Greatest Common Factor

We found the factors 1729,4095 . The biggest common factor number is the GCF number.
So the greatest common factor 1729,4095 is 91.

Lets's calculate LCM of 875,9020

5 875, 9020
175, 1804

∴ So the LCM of the given numbers is 5 x 175 x 1804 = 1578500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 91/1578500

Therefore, the GCF of Fractions 1729/875,4095/9020 is 91/1578500

Least Common Multiple of 875,9020 with GCF Formula

Least Common Multiple of 875,9020 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 875,9020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,9020) = 5

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

GCF(875,9020) x common factors =5 x 1 = 5

LCM(875,9020) = ( 875 × 9020 ) / 5

LCM(875,9020) = 7892500 / 5

LCM(875,9020) = 1578500


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 1729/875, 4095/9020

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 1729/875, 4095/9020?

Answer: GCF of Numerators as per given numbers 1729/875, 4095/9020 is

GCF of Numerators i.e. for 1729,4095 is 91

LCM of denominators i.e. for 875,9020 is 1578500.

Thus, GCF of Fractions is 91/1578500.Finally, GCF of Fractions for 1729/875, 4095/9020 is 91/1578500.