Greatest Common Factor of 7586/746, 1050/8708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7586/746, 1050/8708

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 7586/746,1050/8708

Given fractions are 7586/746,1050/8708

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 7586,1050

Greatest Common Factor of Numerators i.e. GCF of 7586,1050 is 2 .

LCM of Denominators means LCM of 746,8708 as per the given fractions.

LCM of 746,8708 is 3248084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7586,1050

GCF of Fractions 7586/746,1050/8708 is 2/3248084

2 7586, 1050
3793, 525

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7586,1050 By Matching Biggest Common Factor Method

Greatest Common Factor of 7586,1050 By Matching Biggest Common Factor Method

Factors of 7586

List of positive integer factors of 7586 that divides 7586 without a remainder.

1,2,3793,7586

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

Greatest Common Factor

We found the factors 7586,1050 . The biggest common factor number is the GCF number.
So the greatest common factor 7586,1050 is 2.

Lets's calculate LCM of 746,8708

2 746, 8708
373, 4354

∴ So the LCM of the given numbers is 2 x 373 x 4354 = 3248084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3248084

Therefore, the GCF of Fractions 7586/746,1050/8708 is 2/3248084

Least Common Multiple of 746,8708 with GCF Formula

Least Common Multiple of 746,8708 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 746,8708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,8708) = 2

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

GCF(746,8708) x common factors =2 x 1 = 2

LCM(746,8708) = ( 746 × 8708 ) / 2

LCM(746,8708) = 6496168 / 2

LCM(746,8708) = 3248084


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 7586/746, 1050/8708

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 7586/746, 1050/8708?

Answer: GCF of Numerators as per given numbers 7586/746, 1050/8708 is

GCF of Numerators i.e. for 7586,1050 is 2

LCM of denominators i.e. for 746,8708 is 3248084.

Thus, GCF of Fractions is 2/3248084.Finally, GCF of Fractions for 7586/746, 1050/8708 is 2/3248084.