Greatest Common Factor of 84/471, 411/720, 616/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/471, 411/720, 616/611

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 84/471,411/720,616/611

Given fractions are 84/471,411/720,616/611

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 84,411,616

Greatest Common Factor of Numerators i.e. GCF of 84,411,616 is 1 .

LCM of Denominators means LCM of 471,720,611 as per the given fractions.

LCM of 471,720,611 is 69067440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,411,616

GCF of Fractions 84/471,411/720,616/611 is 1/69067440

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

Greatest Common Factor of 84,411,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,411,616 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 84,411,616 . The biggest common factor number is the GCF number.
So the greatest common factor 84,411,616 is 1.

Lets's calculate LCM of 471,720,611

3 471, 720, 611
157, 240, 611

∴ So the LCM of the given numbers is 3 x 157 x 240 x 611 = 69067440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69067440

Therefore, the GCF of Fractions 84/471,411/720,616/611 is 1/69067440

Least Common Multiple of 471,720,611 with GCF Formula

Least Common Multiple of 471,720,611 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 471,720,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,720,611) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(471,720,611) x common factors =1 x 3 = 3

LCM(471,720,611) = ( 471 × 720 × 611 ) / 3

LCM(471,720,611) = 207202320 / 3

LCM(471,720,611) = 69067440


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 84/471, 411/720, 616/611

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 84/471, 411/720, 616/611?

Answer: GCF of Numerators as per given numbers 84/471, 411/720, 616/611 is

GCF of Numerators i.e. for 84,411,616 is 1

LCM of denominators i.e. for 471,720,611 is 69067440.

Thus, GCF of Fractions is 1/69067440.Finally, GCF of Fractions for 84/471, 411/720, 616/611 is 1/69067440.