How to Find GCF of 5656/236, 8905/6652?

GCF of 5656/236, 8905/6652

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 5656/236, 8905/6652 i.e 1/392468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5656/236, 8905/6652.

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 5656/236,8905/6652?

Given fractions are 5656/236,8905/6652

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 5656/236,8905/6652, numerators are 5656,8905

Denominators are 236,6652

The GCF of 5656,8905 is 1 .

LCM of 236,6652 is 392468.

The greatest common factor of 5656/236,8905/6652 = [GCF of 5656,8905]/[LCM of 236,6652]= 1/392468

Therefore, the GCF of 5656/236,8905/6652 is 1/392468.

Greatest Common Factor of 5656,8905

To find the highest common factor of 5656,8905, we have to find the factors of both numbers and list the highest common factor.

The factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656

The factors of 8905 are 1, 5, 13, 65, 137, 685, 1781, 8905

The HCF of 5656,8905 is 1.

Lets's calculate GCF of 5656,8905

Greatest Common Factor (GCF) of 5656,8905 By Common Division

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

Greatest Common Factor of 5656,8905 By Matching Biggest Common Factor Method

Now, list down the factors of 5656

1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656

Now, list down the factors of 8905

1,5,13,65,137,685,1781,8905

Greatest Common Factor

We found the factors 5656,8905 . The biggest common factor number is the GCF number.
So the greatest common factor 5656,8905 is 1.

Lets's calculate LCM of 236,6652

Lowest Common Multiple of 236,6652 using Common Division

2	236, 6652
2	118, 3326
	59, 1663

∴ So the LCM of the given numbers is 2 x 2 x 59 x 1663 = 392468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392468

Therefore, the GCF of Fractions 5656/236,8905/6652 is 1/392468

Least Common Multiple of 236,6652 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 236,6652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,6652) = 4

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

GCF(236,6652) x common factors =4 x 1 = 4

LCM(236,6652) = ( 236 × 6652 ) / 4

LCM(236,6652) = 1569872 / 4

LCM(236,6652) = 392468

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5656/236, 8905/6652

1. What is the HCF of 5656,8905?

The HCF of 5656,8905 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 5656/236, 8905/6652?

Answer: GCF of Numerators as per given numbers 5656/236, 8905/6652 is

GCF of Numerators i.e. for 5656,8905 is 1

LCM of denominators i.e. for 236,6652 is 392468.

Thus, GCF of Fractions is 1/392468.Finally, GCF of Fractions for 5656/236, 8905/6652 is 1/392468.