Greatest Common Factor of 552/221, 2967/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/221, 2967/994

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 552/221,2967/994

Given fractions are 552/221,2967/994

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 552,2967

Greatest Common Factor of Numerators i.e. GCF of 552,2967 is 69 .

LCM of Denominators means LCM of 221,994 as per the given fractions.

LCM of 221,994 is 219674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,2967

GCF of Fractions 552/221,2967/994 is 69/219674

3 552, 2967
23 184, 989
8, 43

∴ So the GCF of the given numbers is 3 x 23 = 69

Greatest Common Factor of 552,2967 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,2967 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 2967

List of positive integer factors of 2967 that divides 2967 without a remainder.

1,3,23,43,69,129,989,2967

Greatest Common Factor

We found the factors 552,2967 . The biggest common factor number is the GCF number.
So the greatest common factor 552,2967 is 69.

Lets's calculate LCM of 221,994

Given numbers has no common factors except 1. So, there LCM is their product i.e 219674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/219674

Therefore, the GCF of Fractions 552/221,2967/994 is 69/219674

Least Common Multiple of 221,994 with GCF Formula

Least Common Multiple of 221,994 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 221,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,994) = 1

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

GCF(221,994) x common factors =1 x 1 = 1

LCM(221,994) = ( 221 × 994 ) / 1

LCM(221,994) = 219674 / 1

LCM(221,994) = 219674


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 552/221, 2967/994

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 552/221, 2967/994?

Answer: GCF of Numerators as per given numbers 552/221, 2967/994 is

GCF of Numerators i.e. for 552,2967 is 69

LCM of denominators i.e. for 221,994 is 219674.

Thus, GCF of Fractions is 69/219674.Finally, GCF of Fractions for 552/221, 2967/994 is 69/219674.