How to Find GCF of 100/23, 982/13, 851/388?

GCF of 100/23, 982/13, 851/388

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 100/23, 982/13, 851/388 i.e 1/116012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 100/23, 982/13, 851/388.

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 100/23,982/13,851/388?

Given fractions are 100/23,982/13,851/388

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 100/23,982/13,851/388, numerators are 100,982,851

Denominators are 23,13,388

The GCF of 100,982,851 is 1 .

LCM of 23,13,388 is 116012.

The greatest common factor of 100/23,982/13,851/388 = [GCF of 100,982,851]/[LCM of 23,13,388]= 1/116012

Therefore, the GCF of 100/23,982/13,851/388 is 1/116012.

Greatest Common Factor of 100,982,851

To find the highest common factor of 100,982,851, we have to find the factors of both numbers and list the highest common factor.

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The factors of 982 are 1, 2, 491, 982

The factors of 851 are 1, 23, 37, 851

The HCF of 100,982,851 is 1.

Lets's calculate GCF of 100,982,851

Greatest Common Factor (GCF) of 100,982,851 By Common Division

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

Greatest Common Factor of 100,982,851 By Matching Biggest Common Factor Method

Now, list down the factors of 100

1,2,4,5,10,20,25,50,100

Now, list down the factors of 982

1,2,491,982

Now, list down the factors of 851

1,23,37,851

Greatest Common Factor

We found the factors 100,982,851 . The biggest common factor number is the GCF number.
So the greatest common factor 100,982,851 is 1.

Lets's calculate LCM of 23,13,388

Lowest Common Multiple of 23,13,388 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 116012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116012

Therefore, the GCF of Fractions 100/23,982/13,851/388 is 1/116012

Least Common Multiple of 23,13,388 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 23,13,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,13,388) = 1

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

GCF(23,13,388) x common factors =1 x 1 = 1

LCM(23,13,388) = ( 23 × 13 × 388 ) / 1

LCM(23,13,388) = 116012 / 1

LCM(23,13,388) = 116012

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 100/23, 982/13, 851/388

1. What is the HCF of 100,982,851?

The HCF of 100,982,851 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 100/23, 982/13, 851/388?

Answer: GCF of Numerators as per given numbers 100/23, 982/13, 851/388 is

GCF of Numerators i.e. for 100,982,851 is 1

LCM of denominators i.e. for 23,13,388 is 116012.

Thus, GCF of Fractions is 1/116012.Finally, GCF of Fractions for 100/23, 982/13, 851/388 is 1/116012.