Greatest Common Factor of 626/754, 9274/8705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 626/754, 9274/8705

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 626/754,9274/8705

Given fractions are 626/754,9274/8705

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 626,9274

Greatest Common Factor of Numerators i.e. GCF of 626,9274 is 2 .

LCM of Denominators means LCM of 754,8705 as per the given fractions.

LCM of 754,8705 is 6563570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 626,9274

GCF of Fractions 626/754,9274/8705 is 2/6563570

2 626, 9274
313, 4637

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

Greatest Common Factor of 626,9274 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,9274 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 9274

List of positive integer factors of 9274 that divides 9274 without a remainder.

1,2,4637,9274

Greatest Common Factor

We found the factors 626,9274 . The biggest common factor number is the GCF number.
So the greatest common factor 626,9274 is 2.

Lets's calculate LCM of 754,8705

Given numbers has no common factors except 1. So, there LCM is their product i.e 6563570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6563570

Therefore, the GCF of Fractions 626/754,9274/8705 is 2/6563570

Least Common Multiple of 754,8705 with GCF Formula

Least Common Multiple of 754,8705 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 754,8705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,8705) = 1

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

GCF(754,8705) x common factors =1 x 1 = 1

LCM(754,8705) = ( 754 × 8705 ) / 1

LCM(754,8705) = 6563570 / 1

LCM(754,8705) = 6563570


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 626/754, 9274/8705

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 626/754, 9274/8705?

Answer: GCF of Numerators as per given numbers 626/754, 9274/8705 is

GCF of Numerators i.e. for 626,9274 is 2

LCM of denominators i.e. for 754,8705 is 6563570.

Thus, GCF of Fractions is 2/6563570.Finally, GCF of Fractions for 626/754, 9274/8705 is 2/6563570.