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GCF of 239/28, 238/8564

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 239/28, 238/8564 i.e 1/59948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 239/28, 238/8564.

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 239/28,238/8564?

Given fractions are 239/28,238/8564

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 239/28,238/8564, numerators are 239,238

Denominators are 28,8564

The GCF of 239,238 is 1 .

LCM of 28,8564 is 59948.

The greatest common factor of 239/28,238/8564 = [GCF of 239,238]/[LCM of 28,8564]= 1/59948

Therefore, the GCF of 239/28,238/8564 is 1/59948.

Greatest Common Factor of 239,238

To find the highest common factor of 239,238, 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 238 are 1, 2, 7, 14, 17, 34, 119, 238

The HCF of 239,238 is 1.

Lets's calculate GCF of 239,238

Greatest Common Factor (GCF) of 239,238 By Common Division

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

Greatest Common Factor of 239,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,238 By Matching Biggest Common Factor Method

Now, list down the factors of 239

:

1,239

Now, list down the factors of 238

:

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 239,238 . The biggest common factor number is the GCF number.
So the greatest common factor 239,238 is 1.

Lets's calculate LCM of 28,8564

Lowest Common Multiple of 28,8564 using Common Division

2 28, 8564
2 14, 4282
7, 2141

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2141 = 59948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59948

Therefore, the GCF of Fractions 239/28,238/8564 is 1/59948

Least Common Multiple of 28,8564 with GCF Formula

Least Common Multiple of 28,8564 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 28,8564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,8564) = 4

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

GCF(28,8564) x common factors =4 x 1 = 4

LCM(28,8564) = ( 28 × 8564 ) / 4

LCM(28,8564) = 239792 / 4

LCM(28,8564) = 59948


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FAQs on GCF of Fractions of 239/28, 238/8564

1. What is the HCF of 239,238?

The HCF of 239,238 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 239/28, 238/8564?

Answer: GCF of Numerators as per given numbers 239/28, 238/8564 is

GCF of Numerators i.e. for 239,238 is 1

LCM of denominators i.e. for 28,8564 is 59948.

Thus, GCF of Fractions is 1/59948.Finally, GCF of Fractions for 239/28, 238/8564 is 1/59948.