Greatest Common Factor of 154/821, 6986/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 154/821, 6986/122

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 154/821,6986/122

Given fractions are 154/821,6986/122

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 154,6986

Greatest Common Factor of Numerators i.e. GCF of 154,6986 is 14 .

LCM of Denominators means LCM of 821,122 as per the given fractions.

LCM of 821,122 is 100162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 154,6986

GCF of Fractions 154/821,6986/122 is 14/100162

2 154, 6986
7 77, 3493
11, 499

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 154,6986 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,6986 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 6986

List of positive integer factors of 6986 that divides 6986 without a remainder.

1,2,7,14,499,998,3493,6986

Greatest Common Factor

We found the factors 154,6986 . The biggest common factor number is the GCF number.
So the greatest common factor 154,6986 is 14.

Lets's calculate LCM of 821,122

Given numbers has no common factors except 1. So, there LCM is their product i.e 100162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/100162

Therefore, the GCF of Fractions 154/821,6986/122 is 14/100162

Least Common Multiple of 821,122 with GCF Formula

Least Common Multiple of 821,122 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 821,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,122) = 1

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

GCF(821,122) x common factors =1 x 1 = 1

LCM(821,122) = ( 821 × 122 ) / 1

LCM(821,122) = 100162 / 1

LCM(821,122) = 100162


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 154/821, 6986/122

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 154/821, 6986/122?

Answer: GCF of Numerators as per given numbers 154/821, 6986/122 is

GCF of Numerators i.e. for 154,6986 is 14

LCM of denominators i.e. for 821,122 is 100162.

Thus, GCF of Fractions is 14/100162.Finally, GCF of Fractions for 154/821, 6986/122 is 14/100162.