Greatest Common Factor of 9010/454, 3609/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9010/454, 3609/762

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 9010/454,3609/762

Given fractions are 9010/454,3609/762

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 9010,3609

Greatest Common Factor of Numerators i.e. GCF of 9010,3609 is 1 .

LCM of Denominators means LCM of 454,762 as per the given fractions.

LCM of 454,762 is 172974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9010,3609

GCF of Fractions 9010/454,3609/762 is 1/172974

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

Greatest Common Factor of 9010,3609 By Matching Biggest Common Factor Method

Greatest Common Factor of 9010,3609 By Matching Biggest Common Factor Method

Factors of 9010

List of positive integer factors of 9010 that divides 9010 without a remainder.

1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1,3,9,401,1203,3609

Greatest Common Factor

We found the factors 9010,3609 . The biggest common factor number is the GCF number.
So the greatest common factor 9010,3609 is 1.

Lets's calculate LCM of 454,762

2 454, 762
227, 381

∴ So the LCM of the given numbers is 2 x 227 x 381 = 172974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172974

Therefore, the GCF of Fractions 9010/454,3609/762 is 1/172974

Least Common Multiple of 454,762 with GCF Formula

Least Common Multiple of 454,762 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 454,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,762) = 2

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

GCF(454,762) x common factors =2 x 1 = 2

LCM(454,762) = ( 454 × 762 ) / 2

LCM(454,762) = 345948 / 2

LCM(454,762) = 172974


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 9010/454, 3609/762

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 9010/454, 3609/762?

Answer: GCF of Numerators as per given numbers 9010/454, 3609/762 is

GCF of Numerators i.e. for 9010,3609 is 1

LCM of denominators i.e. for 454,762 is 172974.

Thus, GCF of Fractions is 1/172974.Finally, GCF of Fractions for 9010/454, 3609/762 is 1/172974.