How to Find GCF of 3664/636, 5077/2648?

GCF of 3664/636, 5077/2648

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 3664/636, 5077/2648 i.e 1/421032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3664/636, 5077/2648.

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 3664/636,5077/2648?

Given fractions are 3664/636,5077/2648

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 3664/636,5077/2648, numerators are 3664,5077

Denominators are 636,2648

The GCF of 3664,5077 is 1 .

LCM of 636,2648 is 421032.

The greatest common factor of 3664/636,5077/2648 = [GCF of 3664,5077]/[LCM of 636,2648]= 1/421032

Therefore, the GCF of 3664/636,5077/2648 is 1/421032.

Greatest Common Factor of 3664,5077

To find the highest common factor of 3664,5077, we have to find the factors of both numbers and list the highest common factor.

The factors of 3664 are 1, 2, 4, 8, 16, 229, 458, 916, 1832, 3664

The factors of 5077 are 1, 5077

The HCF of 3664,5077 is 1.

Lets's calculate GCF of 3664,5077

Greatest Common Factor (GCF) of 3664,5077 By Common Division

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

Greatest Common Factor of 3664,5077 By Matching Biggest Common Factor Method

Now, list down the factors of 3664

1,2,4,8,16,229,458,916,1832,3664

Now, list down the factors of 5077

1,5077

Greatest Common Factor

We found the factors 3664,5077 . The biggest common factor number is the GCF number.
So the greatest common factor 3664,5077 is 1.

Lets's calculate LCM of 636,2648

Lowest Common Multiple of 636,2648 using Common Division

2	636, 2648
2	318, 1324
	159, 662

∴ So the LCM of the given numbers is 2 x 2 x 159 x 662 = 421032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/421032

Therefore, the GCF of Fractions 3664/636,5077/2648 is 1/421032

Least Common Multiple of 636,2648 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 636,2648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,2648) = 4

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

GCF(636,2648) x common factors =4 x 1 = 4

LCM(636,2648) = ( 636 × 2648 ) / 4

LCM(636,2648) = 1684128 / 4

LCM(636,2648) = 421032

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FAQs on GCF of Fractions of 3664/636, 5077/2648

1. What is the HCF of 3664,5077?

The HCF of 3664,5077 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 3664/636, 5077/2648?

Answer: GCF of Numerators as per given numbers 3664/636, 5077/2648 is

GCF of Numerators i.e. for 3664,5077 is 1

LCM of denominators i.e. for 636,2648 is 421032.

Thus, GCF of Fractions is 1/421032.Finally, GCF of Fractions for 3664/636, 5077/2648 is 1/421032.