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GCF of 128/24, 191/862

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 128/24, 191/862 i.e 1/10344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 128/24, 191/862.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 128/24,191/862?

Given fractions are 128/24,191/862

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 128/24,191/862, numerators are 128,191

Denominators are 24,862

The GCF of 128,191 is 1 .

LCM of 24,862 is 10344.

The greatest common factor of 128/24,191/862 = [GCF of 128,191]/[LCM of 24,862]= 1/10344

Therefore, the GCF of 128/24,191/862 is 1/10344.

Greatest Common Factor of 128,191

To find the highest common factor of 128,191, we have to find the factors of both numbers and list the highest common factor.

The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

The factors of 191 are 1, 191

The HCF of 128,191 is 1.

Lets's calculate GCF of 128,191

Greatest Common Factor (GCF) of 128,191 By Common Division

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

Greatest Common Factor of 128,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,191 By Matching Biggest Common Factor Method

Now, list down the factors of 128

:

1,2,4,8,16,32,64,128

Now, list down the factors of 191

:

1,191

Greatest Common Factor

We found the factors 128,191 . The biggest common factor number is the GCF number.
So the greatest common factor 128,191 is 1.

Lets's calculate LCM of 24,862

Lowest Common Multiple of 24,862 using Common Division

2 24, 862
12, 431

∴ So the LCM of the given numbers is 2 x 12 x 431 = 10344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10344

Therefore, the GCF of Fractions 128/24,191/862 is 1/10344

Least Common Multiple of 24,862 with GCF Formula

Least Common Multiple of 24,862 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 24,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,862) = 2

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

GCF(24,862) x common factors =2 x 1 = 2

LCM(24,862) = ( 24 × 862 ) / 2

LCM(24,862) = 20688 / 2

LCM(24,862) = 10344


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FAQs on GCF of Fractions of 128/24, 191/862

1. What is the HCF of 128,191?

The HCF of 128,191 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 128/24, 191/862?

Answer: GCF of Numerators as per given numbers 128/24, 191/862 is

GCF of Numerators i.e. for 128,191 is 1

LCM of denominators i.e. for 24,862 is 10344.

Thus, GCF of Fractions is 1/10344.Finally, GCF of Fractions for 128/24, 191/862 is 1/10344.