Greatest Common Factor of 7/65, 84/16, 89/770, 912/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/65, 84/16, 89/770, 912/406

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 7/65,84/16,89/770,912/406

Given fractions are 7/65,84/16,89/770,912/406

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 7,84,89,912

Greatest Common Factor of Numerators i.e. GCF of 7,84,89,912 is 1 .

LCM of Denominators means LCM of 65,16,770,406 as per the given fractions.

LCM of 65,16,770,406 is 2322320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,84,89,912

GCF of Fractions 7/65,84/16,89/770,912/406 is 1/2322320

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

Greatest Common Factor of 7,84,89,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,84,89,912 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 7,84,89,912 . The biggest common factor number is the GCF number.
So the greatest common factor 7,84,89,912 is 1.

Lets's calculate LCM of 65,16,770,406

2 65, 16, 770, 406
5 65, 8, 385, 203
7 13, 8, 77, 203
13, 8, 11, 29

∴ So the LCM of the given numbers is 2 x 5 x 7 x 13 x 8 x 11 x 29 = 2322320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2322320

Therefore, the GCF of Fractions 7/65,84/16,89/770,912/406 is 1/2322320

Least Common Multiple of 65,16,770,406 with GCF Formula

Least Common Multiple of 65,16,770,406 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 65,16,770,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,16,770,406) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(65,16,770,406) x common factors =1 x 140 = 140

LCM(65,16,770,406) = ( 65 × 16 × 770 × 406 ) / 140

LCM(65,16,770,406) = 325124800 / 140

LCM(65,16,770,406) = 2322320


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 7/65, 84/16, 89/770, 912/406

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 7/65, 84/16, 89/770, 912/406?

Answer: GCF of Numerators as per given numbers 7/65, 84/16, 89/770, 912/406 is

GCF of Numerators i.e. for 7,84,89,912 is 1

LCM of denominators i.e. for 65,16,770,406 is 2322320.

Thus, GCF of Fractions is 1/2322320.Finally, GCF of Fractions for 7/65, 84/16, 89/770, 912/406 is 1/2322320.