How to Find GCF of 30/29, 853/74, 997/790?

GCF of 30/29, 853/74, 997/790

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 30/29, 853/74, 997/790 i.e 1/847670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/29, 853/74, 997/790.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 30/29,853/74,997/790?

Given fractions are 30/29,853/74,997/790

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 30/29,853/74,997/790, numerators are 30,853,997

Denominators are 29,74,790

The GCF of 30,853,997 is 1 .

LCM of 29,74,790 is 847670.

The greatest common factor of 30/29,853/74,997/790 = [GCF of 30,853,997]/[LCM of 29,74,790]= 1/847670

Therefore, the GCF of 30/29,853/74,997/790 is 1/847670.

Greatest Common Factor of 30,853,997

To find the highest common factor of 30,853,997, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 853 are 1, 853

The factors of 997 are 1, 997

The HCF of 30,853,997 is 1.

Lets's calculate GCF of 30,853,997

Greatest Common Factor (GCF) of 30,853,997 By Common Division

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

Greatest Common Factor of 30,853,997 By Matching Biggest Common Factor Method

Now, list down the factors of 30

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

Now, list down the factors of 853

1,853

Now, list down the factors of 997

1,997

Greatest Common Factor

We found the factors 30,853,997 . The biggest common factor number is the GCF number.
So the greatest common factor 30,853,997 is 1.

Lets's calculate LCM of 29,74,790

Lowest Common Multiple of 29,74,790 using Common Division

2	29, 74, 790
	29, 37, 395

∴ So the LCM of the given numbers is 2 x 29 x 37 x 395 = 847670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/847670

Therefore, the GCF of Fractions 30/29,853/74,997/790 is 1/847670

Least Common Multiple of 29,74,790 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 29,74,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,74,790) = 1

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

GCF(29,74,790) x common factors =1 x 2 = 2

LCM(29,74,790) = ( 29 × 74 × 790 ) / 2

LCM(29,74,790) = 1695340 / 2

LCM(29,74,790) = 847670

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 30/29, 853/74, 997/790

1. What is the HCF of 30,853,997?

The HCF of 30,853,997 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 30/29, 853/74, 997/790?

Answer: GCF of Numerators as per given numbers 30/29, 853/74, 997/790 is

GCF of Numerators i.e. for 30,853,997 is 1

LCM of denominators i.e. for 29,74,790 is 847670.

Thus, GCF of Fractions is 1/847670.Finally, GCF of Fractions for 30/29, 853/74, 997/790 is 1/847670.