How to Find GCF of 8932/456, 3067/440?

GCF of 8932/456, 3067/440

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 8932/456, 3067/440 i.e 1/25080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8932/456, 3067/440.

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 8932/456,3067/440?

Given fractions are 8932/456,3067/440

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 8932/456,3067/440, numerators are 8932,3067

Denominators are 456,440

The GCF of 8932,3067 is 1 .

LCM of 456,440 is 25080.

The greatest common factor of 8932/456,3067/440 = [GCF of 8932,3067]/[LCM of 456,440]= 1/25080

Therefore, the GCF of 8932/456,3067/440 is 1/25080.

Greatest Common Factor of 8932,3067

To find the highest common factor of 8932,3067, we have to find the factors of both numbers and list the highest common factor.

The factors of 8932 are 1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932

The factors of 3067 are 1, 3067

The HCF of 8932,3067 is 1.

Lets's calculate GCF of 8932,3067

Greatest Common Factor (GCF) of 8932,3067 By Common Division

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

Greatest Common Factor of 8932,3067 By Matching Biggest Common Factor Method

Now, list down the factors of 8932

1,2,4,7,11,14,22,28,29,44,58,77,116,154,203,308,319,406,638,812,1276,2233,4466,8932

Now, list down the factors of 3067

1,3067

Greatest Common Factor

We found the factors 8932,3067 . The biggest common factor number is the GCF number.
So the greatest common factor 8932,3067 is 1.

Lets's calculate LCM of 456,440

Lowest Common Multiple of 456,440 using Common Division

2	456, 440
2	228, 220
2	114, 110
	57, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 57 x 55 = 25080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25080

Therefore, the GCF of Fractions 8932/456,3067/440 is 1/25080

Least Common Multiple of 456,440 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 456,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,440) = 8

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

GCF(456,440) x common factors =8 x 1 = 8

LCM(456,440) = ( 456 × 440 ) / 8

LCM(456,440) = 200640 / 8

LCM(456,440) = 25080

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FAQs on GCF of Fractions of 8932/456, 3067/440

1. What is the HCF of 8932,3067?

The HCF of 8932,3067 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 8932/456, 3067/440?

Answer: GCF of Numerators as per given numbers 8932/456, 3067/440 is

GCF of Numerators i.e. for 8932,3067 is 1

LCM of denominators i.e. for 456,440 is 25080.

Thus, GCF of Fractions is 1/25080.Finally, GCF of Fractions for 8932/456, 3067/440 is 1/25080.