Greatest Common Factor of 3274/551, 9978/7507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3274/551, 9978/7507

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 3274/551,9978/7507

Given fractions are 3274/551,9978/7507

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 3274,9978

Greatest Common Factor of Numerators i.e. GCF of 3274,9978 is 2 .

LCM of Denominators means LCM of 551,7507 as per the given fractions.

LCM of 551,7507 is 4136357 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3274,9978

GCF of Fractions 3274/551,9978/7507 is 2/4136357

2 3274, 9978
1637, 4989

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

Greatest Common Factor of 3274,9978 By Matching Biggest Common Factor Method

Greatest Common Factor of 3274,9978 By Matching Biggest Common Factor Method

Factors of 3274

List of positive integer factors of 3274 that divides 3274 without a remainder.

1,2,1637,3274

Factors of 9978

List of positive integer factors of 9978 that divides 9978 without a remainder.

1,2,3,6,1663,3326,4989,9978

Greatest Common Factor

We found the factors 3274,9978 . The biggest common factor number is the GCF number.
So the greatest common factor 3274,9978 is 2.

Lets's calculate LCM of 551,7507

Given numbers has no common factors except 1. So, there LCM is their product i.e 4136357

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4136357

Therefore, the GCF of Fractions 3274/551,9978/7507 is 2/4136357

Least Common Multiple of 551,7507 with GCF Formula

Least Common Multiple of 551,7507 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 551,7507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(551,7507) = 1

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

GCF(551,7507) x common factors =1 x 1 = 1

LCM(551,7507) = ( 551 × 7507 ) / 1

LCM(551,7507) = 4136357 / 1

LCM(551,7507) = 4136357


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 3274/551, 9978/7507

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 3274/551, 9978/7507?

Answer: GCF of Numerators as per given numbers 3274/551, 9978/7507 is

GCF of Numerators i.e. for 3274,9978 is 2

LCM of denominators i.e. for 551,7507 is 4136357.

Thus, GCF of Fractions is 2/4136357.Finally, GCF of Fractions for 3274/551, 9978/7507 is 2/4136357.