Greatest Common Factor of 1050/686, 2201/9116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1050/686, 2201/9116

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 1050/686,2201/9116

Given fractions are 1050/686,2201/9116

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 1050,2201

Greatest Common Factor of Numerators i.e. GCF of 1050,2201 is 1 .

LCM of Denominators means LCM of 686,9116 as per the given fractions.

LCM of 686,9116 is 3126788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1050,2201

GCF of Fractions 1050/686,2201/9116 is 1/3126788

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

Greatest Common Factor of 1050,2201 By Matching Biggest Common Factor Method

Greatest Common Factor of 1050,2201 By Matching Biggest Common Factor Method

Factors of 1050

List of positive integer factors of 1050 that divides 1050 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050

Factors of 2201

List of positive integer factors of 2201 that divides 2201 without a remainder.

1,31,71,2201

Greatest Common Factor

We found the factors 1050,2201 . The biggest common factor number is the GCF number.
So the greatest common factor 1050,2201 is 1.

Lets's calculate LCM of 686,9116

2 686, 9116
343, 4558

∴ So the LCM of the given numbers is 2 x 343 x 4558 = 3126788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3126788

Therefore, the GCF of Fractions 1050/686,2201/9116 is 1/3126788

Least Common Multiple of 686,9116 with GCF Formula

Least Common Multiple of 686,9116 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 686,9116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,9116) = 2

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

GCF(686,9116) x common factors =2 x 1 = 2

LCM(686,9116) = ( 686 × 9116 ) / 2

LCM(686,9116) = 6253576 / 2

LCM(686,9116) = 3126788


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 1050/686, 2201/9116

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 1050/686, 2201/9116?

Answer: GCF of Numerators as per given numbers 1050/686, 2201/9116 is

GCF of Numerators i.e. for 1050,2201 is 1

LCM of denominators i.e. for 686,9116 is 3126788.

Thus, GCF of Fractions is 1/3126788.Finally, GCF of Fractions for 1050/686, 2201/9116 is 1/3126788.