Greatest Common Factor of 354/489, 3069/7972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 354/489, 3069/7972

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 354/489,3069/7972

Given fractions are 354/489,3069/7972

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 354,3069

Greatest Common Factor of Numerators i.e. GCF of 354,3069 is 3 .

LCM of Denominators means LCM of 489,7972 as per the given fractions.

LCM of 489,7972 is 3898308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 354,3069

GCF of Fractions 354/489,3069/7972 is 3/3898308

3 354, 3069
118, 1023

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 354,3069 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,3069 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 3069

List of positive integer factors of 3069 that divides 3069 without a remainder.

1,3,9,11,31,33,93,99,279,341,1023,3069

Greatest Common Factor

We found the factors 354,3069 . The biggest common factor number is the GCF number.
So the greatest common factor 354,3069 is 3.

Lets's calculate LCM of 489,7972

Given numbers has no common factors except 1. So, there LCM is their product i.e 3898308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3898308

Therefore, the GCF of Fractions 354/489,3069/7972 is 3/3898308

Least Common Multiple of 489,7972 with GCF Formula

Least Common Multiple of 489,7972 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 489,7972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,7972) = 1

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

GCF(489,7972) x common factors =1 x 1 = 1

LCM(489,7972) = ( 489 × 7972 ) / 1

LCM(489,7972) = 3898308 / 1

LCM(489,7972) = 3898308


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 354/489, 3069/7972

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 354/489, 3069/7972?

Answer: GCF of Numerators as per given numbers 354/489, 3069/7972 is

GCF of Numerators i.e. for 354,3069 is 3

LCM of denominators i.e. for 489,7972 is 3898308.

Thus, GCF of Fractions is 3/3898308.Finally, GCF of Fractions for 354/489, 3069/7972 is 3/3898308.