Greatest Common Factor of 7697/698, 2196/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7697/698, 2196/896

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 7697/698,2196/896

Given fractions are 7697/698,2196/896

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 7697,2196

Greatest Common Factor of Numerators i.e. GCF of 7697,2196 is 1 .

LCM of Denominators means LCM of 698,896 as per the given fractions.

LCM of 698,896 is 312704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7697,2196

GCF of Fractions 7697/698,2196/896 is 1/312704

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

Greatest Common Factor of 7697,2196 By Matching Biggest Common Factor Method

Greatest Common Factor of 7697,2196 By Matching Biggest Common Factor Method

Factors of 7697

List of positive integer factors of 7697 that divides 7697 without a remainder.

1,43,179,7697

Factors of 2196

List of positive integer factors of 2196 that divides 2196 without a remainder.

1,2,3,4,6,9,12,18,36,61,122,183,244,366,549,732,1098,2196

Greatest Common Factor

We found the factors 7697,2196 . The biggest common factor number is the GCF number.
So the greatest common factor 7697,2196 is 1.

Lets's calculate LCM of 698,896

2 698, 896
349, 448

∴ So the LCM of the given numbers is 2 x 349 x 448 = 312704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312704

Therefore, the GCF of Fractions 7697/698,2196/896 is 1/312704

Least Common Multiple of 698,896 with GCF Formula

Least Common Multiple of 698,896 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 698,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,896) = 2

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

GCF(698,896) x common factors =2 x 1 = 2

LCM(698,896) = ( 698 × 896 ) / 2

LCM(698,896) = 625408 / 2

LCM(698,896) = 312704


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 7697/698, 2196/896

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 7697/698, 2196/896?

Answer: GCF of Numerators as per given numbers 7697/698, 2196/896 is

GCF of Numerators i.e. for 7697,2196 is 1

LCM of denominators i.e. for 698,896 is 312704.

Thus, GCF of Fractions is 1/312704.Finally, GCF of Fractions for 7697/698, 2196/896 is 1/312704.