Greatest Common Factor of 1727/89, 4958/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1727/89, 4958/748

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 1727/89,4958/748

Given fractions are 1727/89,4958/748

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 1727,4958

Greatest Common Factor of Numerators i.e. GCF of 1727,4958 is 1 .

LCM of Denominators means LCM of 89,748 as per the given fractions.

LCM of 89,748 is 66572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1727,4958

GCF of Fractions 1727/89,4958/748 is 1/66572

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

Greatest Common Factor of 1727,4958 By Matching Biggest Common Factor Method

Greatest Common Factor of 1727,4958 By Matching Biggest Common Factor Method

Factors of 1727

List of positive integer factors of 1727 that divides 1727 without a remainder.

1,11,157,1727

Factors of 4958

List of positive integer factors of 4958 that divides 4958 without a remainder.

1,2,37,67,74,134,2479,4958

Greatest Common Factor

We found the factors 1727,4958 . The biggest common factor number is the GCF number.
So the greatest common factor 1727,4958 is 1.

Lets's calculate LCM of 89,748

Given numbers has no common factors except 1. So, there LCM is their product i.e 66572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66572

Therefore, the GCF of Fractions 1727/89,4958/748 is 1/66572

Least Common Multiple of 89,748 with GCF Formula

Least Common Multiple of 89,748 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 89,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,748) = 1

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

GCF(89,748) x common factors =1 x 1 = 1

LCM(89,748) = ( 89 × 748 ) / 1

LCM(89,748) = 66572 / 1

LCM(89,748) = 66572


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 1727/89, 4958/748

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 1727/89, 4958/748?

Answer: GCF of Numerators as per given numbers 1727/89, 4958/748 is

GCF of Numerators i.e. for 1727,4958 is 1

LCM of denominators i.e. for 89,748 is 66572.

Thus, GCF of Fractions is 1/66572.Finally, GCF of Fractions for 1727/89, 4958/748 is 1/66572.