How to Find GCF of 3260/464, 4036/972?

GCF of 3260/464, 4036/972

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 3260/464, 4036/972 i.e 4/112752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3260/464, 4036/972.

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 3260/464,4036/972?

Given fractions are 3260/464,4036/972

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 3260/464,4036/972, numerators are 3260,4036

Denominators are 464,972

The GCF of 3260,4036 is 4 .

LCM of 464,972 is 112752.

The greatest common factor of 3260/464,4036/972 = [GCF of 3260,4036]/[LCM of 464,972]= 4/112752

Therefore, the GCF of 3260/464,4036/972 is 4/112752.

Greatest Common Factor of 3260,4036

To find the highest common factor of 3260,4036, we have to find the factors of both numbers and list the highest common factor.

The factors of 3260 are 1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260

The factors of 4036 are 1, 2, 4, 1009, 2018, 4036

The HCF of 3260,4036 is 4.

Lets's calculate GCF of 3260,4036

Greatest Common Factor (GCF) of 3260,4036 By Common Division

2	3260, 4036
2	1630, 2018
	815, 1009

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

Greatest Common Factor of 3260,4036 By Matching Biggest Common Factor Method

Now, list down the factors of 3260

1,2,4,5,10,20,163,326,652,815,1630,3260

Now, list down the factors of 4036

1,2,4,1009,2018,4036

Greatest Common Factor

We found the factors 3260,4036 . The biggest common factor number is the GCF number.
So the greatest common factor 3260,4036 is 4.

Lets's calculate LCM of 464,972

Lowest Common Multiple of 464,972 using Common Division

2	464, 972
2	232, 486
	116, 243

∴ So the LCM of the given numbers is 2 x 2 x 116 x 243 = 112752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/112752

Therefore, the GCF of Fractions 3260/464,4036/972 is 4/112752

Least Common Multiple of 464,972 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 464,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,972) = 4

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

GCF(464,972) x common factors =4 x 1 = 4

LCM(464,972) = ( 464 × 972 ) / 4

LCM(464,972) = 451008 / 4

LCM(464,972) = 112752

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FAQs on GCF of Fractions of 3260/464, 4036/972

1. What is the HCF of 3260,4036?

The HCF of 3260,4036 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 3260/464, 4036/972?

Answer: GCF of Numerators as per given numbers 3260/464, 4036/972 is

GCF of Numerators i.e. for 3260,4036 is 4

LCM of denominators i.e. for 464,972 is 112752.

Thus, GCF of Fractions is 4/112752.Finally, GCF of Fractions for 3260/464, 4036/972 is 4/112752.