Greatest Common Factor of 6856/98, 3497/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6856/98, 3497/622

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 6856/98,3497/622

Given fractions are 6856/98,3497/622

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 6856,3497

Greatest Common Factor of Numerators i.e. GCF of 6856,3497 is 1 .

LCM of Denominators means LCM of 98,622 as per the given fractions.

LCM of 98,622 is 30478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6856,3497

GCF of Fractions 6856/98,3497/622 is 1/30478

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

Greatest Common Factor of 6856,3497 By Matching Biggest Common Factor Method

Greatest Common Factor of 6856,3497 By Matching Biggest Common Factor Method

Factors of 6856

List of positive integer factors of 6856 that divides 6856 without a remainder.

1,2,4,8,857,1714,3428,6856

Factors of 3497

List of positive integer factors of 3497 that divides 3497 without a remainder.

1,13,269,3497

Greatest Common Factor

We found the factors 6856,3497 . The biggest common factor number is the GCF number.
So the greatest common factor 6856,3497 is 1.

Lets's calculate LCM of 98,622

2 98, 622
49, 311

∴ So the LCM of the given numbers is 2 x 49 x 311 = 30478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30478

Therefore, the GCF of Fractions 6856/98,3497/622 is 1/30478

Least Common Multiple of 98,622 with GCF Formula

Least Common Multiple of 98,622 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 98,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,622) = 2

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

GCF(98,622) x common factors =2 x 1 = 2

LCM(98,622) = ( 98 × 622 ) / 2

LCM(98,622) = 60956 / 2

LCM(98,622) = 30478


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 6856/98, 3497/622

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 6856/98, 3497/622?

Answer: GCF of Numerators as per given numbers 6856/98, 3497/622 is

GCF of Numerators i.e. for 6856,3497 is 1

LCM of denominators i.e. for 98,622 is 30478.

Thus, GCF of Fractions is 1/30478.Finally, GCF of Fractions for 6856/98, 3497/622 is 1/30478.