Greatest Common Factor of 30/99, 78/62, 757/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/99, 78/62, 757/343

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 30/99,78/62,757/343

Given fractions are 30/99,78/62,757/343

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 30,78,757

Greatest Common Factor of Numerators i.e. GCF of 30,78,757 is 1 .

LCM of Denominators means LCM of 99,62,343 as per the given fractions.

LCM of 99,62,343 is 2105334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,78,757

GCF of Fractions 30/99,78/62,757/343 is 1/2105334

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

Greatest Common Factor of 30,78,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,78,757 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 30,78,757 . The biggest common factor number is the GCF number.
So the greatest common factor 30,78,757 is 1.

Lets's calculate LCM of 99,62,343

Given numbers has no common factors except 1. So, there LCM is their product i.e 2105334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2105334

Therefore, the GCF of Fractions 30/99,78/62,757/343 is 1/2105334

Least Common Multiple of 99,62,343 with GCF Formula

Least Common Multiple of 99,62,343 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 99,62,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,62,343) = 1

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

GCF(99,62,343) x common factors =1 x 1 = 1

LCM(99,62,343) = ( 99 × 62 × 343 ) / 1

LCM(99,62,343) = 2105334 / 1

LCM(99,62,343) = 2105334


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 30/99, 78/62, 757/343

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 30/99, 78/62, 757/343?

Answer: GCF of Numerators as per given numbers 30/99, 78/62, 757/343 is

GCF of Numerators i.e. for 30,78,757 is 1

LCM of denominators i.e. for 99,62,343 is 2105334.

Thus, GCF of Fractions is 1/2105334.Finally, GCF of Fractions for 30/99, 78/62, 757/343 is 1/2105334.