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GCF of 239/64, 826/150

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 239/64, 826/150 i.e 1/4800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 239/64, 826/150.

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 239/64,826/150?

Given fractions are 239/64,826/150

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 239/64,826/150, numerators are 239,826

Denominators are 64,150

The GCF of 239,826 is 1 .

LCM of 64,150 is 4800.

The greatest common factor of 239/64,826/150 = [GCF of 239,826]/[LCM of 64,150]= 1/4800

Therefore, the GCF of 239/64,826/150 is 1/4800.

Greatest Common Factor of 239,826

To find the highest common factor of 239,826, we have to find the factors of both numbers and list the highest common factor.

The factors of 239 are 1, 239

The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826

The HCF of 239,826 is 1.

Lets's calculate GCF of 239,826

Greatest Common Factor (GCF) of 239,826 By Common Division

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

Greatest Common Factor of 239,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,826 By Matching Biggest Common Factor Method

Now, list down the factors of 239

:

1,239

Now, list down the factors of 826

:

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 239,826 . The biggest common factor number is the GCF number.
So the greatest common factor 239,826 is 1.

Lets's calculate LCM of 64,150

Lowest Common Multiple of 64,150 using Common Division

2 64, 150
32, 75

∴ So the LCM of the given numbers is 2 x 32 x 75 = 4800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4800

Therefore, the GCF of Fractions 239/64,826/150 is 1/4800

Least Common Multiple of 64,150 with GCF Formula

Least Common Multiple of 64,150 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 64,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,150) = 2

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

GCF(64,150) x common factors =2 x 1 = 2

LCM(64,150) = ( 64 × 150 ) / 2

LCM(64,150) = 9600 / 2

LCM(64,150) = 4800


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FAQs on GCF of Fractions of 239/64, 826/150

1. What is the HCF of 239,826?

The HCF of 239,826 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 239/64, 826/150?

Answer: GCF of Numerators as per given numbers 239/64, 826/150 is

GCF of Numerators i.e. for 239,826 is 1

LCM of denominators i.e. for 64,150 is 4800.

Thus, GCF of Fractions is 1/4800.Finally, GCF of Fractions for 239/64, 826/150 is 1/4800.