How to Find GCF of 36/441, 9588/6955?

GCF of 36/441, 9588/6955

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 36/441, 9588/6955 i.e 12/3067155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/441, 9588/6955.

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 36/441,9588/6955?

Given fractions are 36/441,9588/6955

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 36/441,9588/6955, numerators are 36,9588

Denominators are 441,6955

The GCF of 36,9588 is 12 .

LCM of 441,6955 is 3067155.

The greatest common factor of 36/441,9588/6955 = [GCF of 36,9588]/[LCM of 441,6955]= 12/3067155

Therefore, the GCF of 36/441,9588/6955 is 12/3067155.

Greatest Common Factor of 36,9588

To find the highest common factor of 36,9588, we have to find the factors of both numbers and list the highest common factor.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588

The HCF of 36,9588 is 12.

Lets's calculate GCF of 36,9588

Greatest Common Factor (GCF) of 36,9588 By Common Division

2	36, 9588
2	18, 4794
3	9, 2397
	3, 799

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 36,9588 By Matching Biggest Common Factor Method

Now, list down the factors of 36

1,2,3,4,6,9,12,18,36

Now, list down the factors of 9588

1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588

Greatest Common Factor

We found the factors 36,9588 . The biggest common factor number is the GCF number.
So the greatest common factor 36,9588 is 12.

Lets's calculate LCM of 441,6955

Lowest Common Multiple of 441,6955 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3067155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3067155

Therefore, the GCF of Fractions 36/441,9588/6955 is 12/3067155

Least Common Multiple of 441,6955 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 441,6955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,6955) = 1

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

GCF(441,6955) x common factors =1 x 1 = 1

LCM(441,6955) = ( 441 × 6955 ) / 1

LCM(441,6955) = 3067155 / 1

LCM(441,6955) = 3067155

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FAQs on GCF of Fractions of 36/441, 9588/6955

1. What is the HCF of 36,9588?

The HCF of 36,9588 is 12

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 36/441, 9588/6955?

Answer: GCF of Numerators as per given numbers 36/441, 9588/6955 is

GCF of Numerators i.e. for 36,9588 is 12

LCM of denominators i.e. for 441,6955 is 3067155.

Thus, GCF of Fractions is 12/3067155.Finally, GCF of Fractions for 36/441, 9588/6955 is 12/3067155.