How to Find GCF of 4548/376, 5217/7788?

GCF of 4548/376, 5217/7788

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 4548/376, 5217/7788 i.e 3/732072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4548/376, 5217/7788.

Enter two or more fractions separated by "commas"

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

What is the GCF of 4548/376,5217/7788?

Given fractions are 4548/376,5217/7788

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 4548/376,5217/7788, numerators are 4548,5217

Denominators are 376,7788

The GCF of 4548,5217 is 3 .

LCM of 376,7788 is 732072.

The greatest common factor of 4548/376,5217/7788 = [GCF of 4548,5217]/[LCM of 376,7788]= 3/732072

Therefore, the GCF of 4548/376,5217/7788 is 3/732072.

Greatest Common Factor of 4548,5217

To find the highest common factor of 4548,5217, we have to find the factors of both numbers and list the highest common factor.

The factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548

The factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217

The HCF of 4548,5217 is 3.

Lets's calculate GCF of 4548,5217

Greatest Common Factor (GCF) of 4548,5217 By Common Division

3	4548, 5217
	1516, 1739

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4548,5217 By Matching Biggest Common Factor Method

Now, list down the factors of 4548

1,2,3,4,6,12,379,758,1137,1516,2274,4548

Now, list down the factors of 5217

1,3,37,47,111,141,1739,5217

Greatest Common Factor

We found the factors 4548,5217 . The biggest common factor number is the GCF number.
So the greatest common factor 4548,5217 is 3.

Lets's calculate LCM of 376,7788

Lowest Common Multiple of 376,7788 using Common Division

2	376, 7788
2	188, 3894
	94, 1947

∴ So the LCM of the given numbers is 2 x 2 x 94 x 1947 = 732072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/732072

Therefore, the GCF of Fractions 4548/376,5217/7788 is 3/732072

Least Common Multiple of 376,7788 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 376,7788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,7788) = 4

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

GCF(376,7788) x common factors =4 x 1 = 4

LCM(376,7788) = ( 376 × 7788 ) / 4

LCM(376,7788) = 2928288 / 4

LCM(376,7788) = 732072

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4548/376, 5217/7788

1. What is the HCF of 4548,5217?

The HCF of 4548,5217 is 3

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 4548/376, 5217/7788?

Answer: GCF of Numerators as per given numbers 4548/376, 5217/7788 is

GCF of Numerators i.e. for 4548,5217 is 3

LCM of denominators i.e. for 376,7788 is 732072.

Thus, GCF of Fractions is 3/732072.Finally, GCF of Fractions for 4548/376, 5217/7788 is 3/732072.