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GCF of 48/492, 5636/8117

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 48/492, 5636/8117 i.e 4/3993564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/492, 5636/8117.

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 48/492,5636/8117?

Given fractions are 48/492,5636/8117

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 48/492,5636/8117, numerators are 48,5636

Denominators are 492,8117

The GCF of 48,5636 is 4 .

LCM of 492,8117 is 3993564.

The greatest common factor of 48/492,5636/8117 = [GCF of 48,5636]/[LCM of 492,8117]= 4/3993564

Therefore, the GCF of 48/492,5636/8117 is 4/3993564.

Greatest Common Factor of 48,5636

To find the highest common factor of 48,5636, 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 5636 are 1, 2, 4, 1409, 2818, 5636

The HCF of 48,5636 is 4.

Lets's calculate GCF of 48,5636

Greatest Common Factor (GCF) of 48,5636 By Common Division

2 48, 5636
2 24, 2818
12, 1409

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 48,5636 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,5636 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 5636

:

1,2,4,1409,2818,5636

Greatest Common Factor

We found the factors 48,5636 . The biggest common factor number is the GCF number.
So the greatest common factor 48,5636 is 4.

Lets's calculate LCM of 492,8117

Lowest Common Multiple of 492,8117 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3993564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3993564

Therefore, the GCF of Fractions 48/492,5636/8117 is 4/3993564

Least Common Multiple of 492,8117 with GCF Formula

Least Common Multiple of 492,8117 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 492,8117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,8117) = 1

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

GCF(492,8117) x common factors =1 x 1 = 1

LCM(492,8117) = ( 492 × 8117 ) / 1

LCM(492,8117) = 3993564 / 1

LCM(492,8117) = 3993564


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FAQs on GCF of Fractions of 48/492, 5636/8117

1. What is the HCF of 48,5636?

The HCF of 48,5636 is 4

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 48/492, 5636/8117?

Answer: GCF of Numerators as per given numbers 48/492, 5636/8117 is

GCF of Numerators i.e. for 48,5636 is 4

LCM of denominators i.e. for 492,8117 is 3993564.

Thus, GCF of Fractions is 4/3993564.Finally, GCF of Fractions for 48/492, 5636/8117 is 4/3993564.