Greatest Common Factor of 122/13, 828/14, 861/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 122/13, 828/14, 861/554

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 122/13,828/14,861/554

Given fractions are 122/13,828/14,861/554

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 122,828,861

Greatest Common Factor of Numerators i.e. GCF of 122,828,861 is 1 .

LCM of Denominators means LCM of 13,14,554 as per the given fractions.

LCM of 13,14,554 is 50414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 122,828,861

GCF of Fractions 122/13,828/14,861/554 is 1/50414

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

Greatest Common Factor of 122,828,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,828,861 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 122,828,861 . The biggest common factor number is the GCF number.
So the greatest common factor 122,828,861 is 1.

Lets's calculate LCM of 13,14,554

2 13, 14, 554
13, 7, 277

∴ So the LCM of the given numbers is 2 x 13 x 7 x 277 = 50414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50414

Therefore, the GCF of Fractions 122/13,828/14,861/554 is 1/50414

Least Common Multiple of 13,14,554 with GCF Formula

Least Common Multiple of 13,14,554 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 13,14,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,14,554) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(13,14,554) x common factors =1 x 2 = 2

LCM(13,14,554) = ( 13 × 14 × 554 ) / 2

LCM(13,14,554) = 100828 / 2

LCM(13,14,554) = 50414


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 122/13, 828/14, 861/554

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 122/13, 828/14, 861/554?

Answer: GCF of Numerators as per given numbers 122/13, 828/14, 861/554 is

GCF of Numerators i.e. for 122,828,861 is 1

LCM of denominators i.e. for 13,14,554 is 50414.

Thus, GCF of Fractions is 1/50414.Finally, GCF of Fractions for 122/13, 828/14, 861/554 is 1/50414.