Greatest Common Factor of 2764/30, 9540/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2764/30, 9540/221

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 2764/30,9540/221

Given fractions are 2764/30,9540/221

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 2764,9540

Greatest Common Factor of Numerators i.e. GCF of 2764,9540 is 4 .

LCM of Denominators means LCM of 30,221 as per the given fractions.

LCM of 30,221 is 6630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2764,9540

GCF of Fractions 2764/30,9540/221 is 4/6630

2 2764, 9540
2 1382, 4770
691, 2385

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2764,9540 By Matching Biggest Common Factor Method

Greatest Common Factor of 2764,9540 By Matching Biggest Common Factor Method

Factors of 2764

List of positive integer factors of 2764 that divides 2764 without a remainder.

1,2,4,691,1382,2764

Factors of 9540

List of positive integer factors of 9540 that divides 9540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,53,60,90,106,159,180,212,265,318,477,530,636,795,954,1060,1590,1908,2385,3180,4770,9540

Greatest Common Factor

We found the factors 2764,9540 . The biggest common factor number is the GCF number.
So the greatest common factor 2764,9540 is 4.

Lets's calculate LCM of 30,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 6630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6630

Therefore, the GCF of Fractions 2764/30,9540/221 is 4/6630

Least Common Multiple of 30,221 with GCF Formula

Least Common Multiple of 30,221 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 30,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,221) = 1

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

GCF(30,221) x common factors =1 x 1 = 1

LCM(30,221) = ( 30 × 221 ) / 1

LCM(30,221) = 6630 / 1

LCM(30,221) = 6630


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 2764/30, 9540/221

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 2764/30, 9540/221?

Answer: GCF of Numerators as per given numbers 2764/30, 9540/221 is

GCF of Numerators i.e. for 2764,9540 is 4

LCM of denominators i.e. for 30,221 is 6630.

Thus, GCF of Fractions is 4/6630.Finally, GCF of Fractions for 2764/30, 9540/221 is 4/6630.