Greatest Common Factor of 30/97, 74/794, 545/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/97, 74/794, 545/310

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 30/97,74/794,545/310

Given fractions are 30/97,74/794,545/310

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 30,74,545

Greatest Common Factor of Numerators i.e. GCF of 30,74,545 is 1 .

LCM of Denominators means LCM of 97,794,310 as per the given fractions.

LCM of 97,794,310 is 11937790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,74,545

GCF of Fractions 30/97,74/794,545/310 is 1/11937790

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

Greatest Common Factor of 30,74,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,74,545 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 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 30,74,545 . The biggest common factor number is the GCF number.
So the greatest common factor 30,74,545 is 1.

Lets's calculate LCM of 97,794,310

2 97, 794, 310
97, 397, 155

∴ So the LCM of the given numbers is 2 x 97 x 397 x 155 = 11937790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11937790

Therefore, the GCF of Fractions 30/97,74/794,545/310 is 1/11937790

Least Common Multiple of 97,794,310 with GCF Formula

Least Common Multiple of 97,794,310 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 97,794,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,794,310) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(97,794,310) x common factors =1 x 2 = 2

LCM(97,794,310) = ( 97 × 794 × 310 ) / 2

LCM(97,794,310) = 23875580 / 2

LCM(97,794,310) = 11937790


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 30/97, 74/794, 545/310

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 30/97, 74/794, 545/310?

Answer: GCF of Numerators as per given numbers 30/97, 74/794, 545/310 is

GCF of Numerators i.e. for 30,74,545 is 1

LCM of denominators i.e. for 97,794,310 is 11937790.

Thus, GCF of Fractions is 1/11937790.Finally, GCF of Fractions for 30/97, 74/794, 545/310 is 1/11937790.