Greatest Common Factor of 1796/96, 5698/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1796/96, 5698/534

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 1796/96,5698/534

Given fractions are 1796/96,5698/534

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 1796,5698

Greatest Common Factor of Numerators i.e. GCF of 1796,5698 is 2 .

LCM of Denominators means LCM of 96,534 as per the given fractions.

LCM of 96,534 is 8544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1796,5698

GCF of Fractions 1796/96,5698/534 is 2/8544

2 1796, 5698
898, 2849

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

Greatest Common Factor of 1796,5698 By Matching Biggest Common Factor Method

Greatest Common Factor of 1796,5698 By Matching Biggest Common Factor Method

Factors of 1796

List of positive integer factors of 1796 that divides 1796 without a remainder.

1,2,4,449,898,1796

Factors of 5698

List of positive integer factors of 5698 that divides 5698 without a remainder.

1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698

Greatest Common Factor

We found the factors 1796,5698 . The biggest common factor number is the GCF number.
So the greatest common factor 1796,5698 is 2.

Lets's calculate LCM of 96,534

2 96, 534
3 48, 267
16, 89

∴ So the LCM of the given numbers is 2 x 3 x 16 x 89 = 8544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8544

Therefore, the GCF of Fractions 1796/96,5698/534 is 2/8544

Least Common Multiple of 96,534 with GCF Formula

Least Common Multiple of 96,534 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 96,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,534) = 6

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

GCF(96,534) x common factors =6 x 1 = 6

LCM(96,534) = ( 96 × 534 ) / 6

LCM(96,534) = 51264 / 6

LCM(96,534) = 8544


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 1796/96, 5698/534

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 1796/96, 5698/534?

Answer: GCF of Numerators as per given numbers 1796/96, 5698/534 is

GCF of Numerators i.e. for 1796,5698 is 2

LCM of denominators i.e. for 96,534 is 8544.

Thus, GCF of Fractions is 2/8544.Finally, GCF of Fractions for 1796/96, 5698/534 is 2/8544.