Greatest Common Factor of 8658/964, 1744/1748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8658/964, 1744/1748

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 8658/964,1744/1748

Given fractions are 8658/964,1744/1748

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 8658,1744

Greatest Common Factor of Numerators i.e. GCF of 8658,1744 is 2 .

LCM of Denominators means LCM of 964,1748 as per the given fractions.

LCM of 964,1748 is 421268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8658,1744

GCF of Fractions 8658/964,1744/1748 is 2/421268

2 8658, 1744
4329, 872

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8658,1744 By Matching Biggest Common Factor Method

Greatest Common Factor of 8658,1744 By Matching Biggest Common Factor Method

Factors of 8658

List of positive integer factors of 8658 that divides 8658 without a remainder.

1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658

Factors of 1744

List of positive integer factors of 1744 that divides 1744 without a remainder.

1,2,4,8,16,109,218,436,872,1744

Greatest Common Factor

We found the factors 8658,1744 . The biggest common factor number is the GCF number.
So the greatest common factor 8658,1744 is 2.

Lets's calculate LCM of 964,1748

2 964, 1748
2 482, 874
241, 437

∴ So the LCM of the given numbers is 2 x 2 x 241 x 437 = 421268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/421268

Therefore, the GCF of Fractions 8658/964,1744/1748 is 2/421268

Least Common Multiple of 964,1748 with GCF Formula

Least Common Multiple of 964,1748 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 964,1748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,1748) = 4

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

GCF(964,1748) x common factors =4 x 1 = 4

LCM(964,1748) = ( 964 × 1748 ) / 4

LCM(964,1748) = 1685072 / 4

LCM(964,1748) = 421268


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 8658/964, 1744/1748

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 8658/964, 1744/1748?

Answer: GCF of Numerators as per given numbers 8658/964, 1744/1748 is

GCF of Numerators i.e. for 8658,1744 is 2

LCM of denominators i.e. for 964,1748 is 421268.

Thus, GCF of Fractions is 2/421268.Finally, GCF of Fractions for 8658/964, 1744/1748 is 2/421268.