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GCF of 48/587, 928/686

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 48/587, 928/686 i.e 16/402682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/587, 928/686.

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 48/587,928/686?

Given fractions are 48/587,928/686

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 48/587,928/686, numerators are 48,928

Denominators are 587,686

The GCF of 48,928 is 16 .

LCM of 587,686 is 402682.

The greatest common factor of 48/587,928/686 = [GCF of 48,928]/[LCM of 587,686]= 16/402682

Therefore, the GCF of 48/587,928/686 is 16/402682.

Greatest Common Factor of 48,928

To find the highest common factor of 48,928, we have to find the factors of both numbers and list the highest common factor.

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

The HCF of 48,928 is 16.

Lets's calculate GCF of 48,928

Greatest Common Factor (GCF) of 48,928 By Common Division

2 48, 928
2 24, 464
2 12, 232
2 6, 116
3, 58

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 48,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,928 By Matching Biggest Common Factor Method

Now, list down the factors of 48

:

1,2,3,4,6,8,12,16,24,48

Now, list down the factors of 928

:

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 48,928 . The biggest common factor number is the GCF number.
So the greatest common factor 48,928 is 16.

Lets's calculate LCM of 587,686

Lowest Common Multiple of 587,686 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 402682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/402682

Therefore, the GCF of Fractions 48/587,928/686 is 16/402682

Least Common Multiple of 587,686 with GCF Formula

Least Common Multiple of 587,686 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 587,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,686) = 1

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

GCF(587,686) x common factors =1 x 1 = 1

LCM(587,686) = ( 587 × 686 ) / 1

LCM(587,686) = 402682 / 1

LCM(587,686) = 402682


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FAQs on GCF of Fractions of 48/587, 928/686

1. What is the HCF of 48,928?

The HCF of 48,928 is 16

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 48/587, 928/686?

Answer: GCF of Numerators as per given numbers 48/587, 928/686 is

GCF of Numerators i.e. for 48,928 is 16

LCM of denominators i.e. for 587,686 is 402682.

Thus, GCF of Fractions is 16/402682.Finally, GCF of Fractions for 48/587, 928/686 is 16/402682.