How to Find GCF of 8920/233, 4272/6414?

GCF of 8920/233, 4272/6414

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 8920/233, 4272/6414 i.e 8/1494462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8920/233, 4272/6414.

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 8920/233,4272/6414?

Given fractions are 8920/233,4272/6414

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 8920/233,4272/6414, numerators are 8920,4272

Denominators are 233,6414

The GCF of 8920,4272 is 8 .

LCM of 233,6414 is 1494462.

The greatest common factor of 8920/233,4272/6414 = [GCF of 8920,4272]/[LCM of 233,6414]= 8/1494462

Therefore, the GCF of 8920/233,4272/6414 is 8/1494462.

Greatest Common Factor of 8920,4272

To find the highest common factor of 8920,4272, we have to find the factors of both numbers and list the highest common factor.

The factors of 8920 are 1, 2, 4, 5, 8, 10, 20, 40, 223, 446, 892, 1115, 1784, 2230, 4460, 8920

The factors of 4272 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136, 4272

The HCF of 8920,4272 is 8.

Lets's calculate GCF of 8920,4272

Greatest Common Factor (GCF) of 8920,4272 By Common Division

2	8920, 4272
2	4460, 2136
2	2230, 1068
	1115, 534

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 8920,4272 By Matching Biggest Common Factor Method

Now, list down the factors of 8920

1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920

Now, list down the factors of 4272

1,2,3,4,6,8,12,16,24,48,89,178,267,356,534,712,1068,1424,2136,4272

Greatest Common Factor

We found the factors 8920,4272 . The biggest common factor number is the GCF number.
So the greatest common factor 8920,4272 is 8.

Lets's calculate LCM of 233,6414

Lowest Common Multiple of 233,6414 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1494462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1494462

Therefore, the GCF of Fractions 8920/233,4272/6414 is 8/1494462

Least Common Multiple of 233,6414 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 233,6414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,6414) = 1

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

GCF(233,6414) x common factors =1 x 1 = 1

LCM(233,6414) = ( 233 × 6414 ) / 1

LCM(233,6414) = 1494462 / 1

LCM(233,6414) = 1494462

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FAQs on GCF of Fractions of 8920/233, 4272/6414

1. What is the HCF of 8920,4272?

The HCF of 8920,4272 is 8

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 8920/233, 4272/6414?

Answer: GCF of Numerators as per given numbers 8920/233, 4272/6414 is

GCF of Numerators i.e. for 8920,4272 is 8

LCM of denominators i.e. for 233,6414 is 1494462.

Thus, GCF of Fractions is 8/1494462.Finally, GCF of Fractions for 8920/233, 4272/6414 is 8/1494462.