How to Find GCF of 8718/464, 4315/6932?

GCF of 8718/464, 4315/6932

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 8718/464, 4315/6932 i.e 1/804112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8718/464, 4315/6932.

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 8718/464,4315/6932?

Given fractions are 8718/464,4315/6932

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 8718/464,4315/6932, numerators are 8718,4315

Denominators are 464,6932

The GCF of 8718,4315 is 1 .

LCM of 464,6932 is 804112.

The greatest common factor of 8718/464,4315/6932 = [GCF of 8718,4315]/[LCM of 464,6932]= 1/804112

Therefore, the GCF of 8718/464,4315/6932 is 1/804112.

Greatest Common Factor of 8718,4315

To find the highest common factor of 8718,4315, we have to find the factors of both numbers and list the highest common factor.

The factors of 8718 are 1, 2, 3, 6, 1453, 2906, 4359, 8718

The factors of 4315 are 1, 5, 863, 4315

The HCF of 8718,4315 is 1.

Lets's calculate GCF of 8718,4315

Greatest Common Factor (GCF) of 8718,4315 By Common Division

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

Greatest Common Factor of 8718,4315 By Matching Biggest Common Factor Method

Now, list down the factors of 8718

1,2,3,6,1453,2906,4359,8718

Now, list down the factors of 4315

1,5,863,4315

Greatest Common Factor

We found the factors 8718,4315 . The biggest common factor number is the GCF number.
So the greatest common factor 8718,4315 is 1.

Lets's calculate LCM of 464,6932

Lowest Common Multiple of 464,6932 using Common Division

2	464, 6932
2	232, 3466
	116, 1733

∴ So the LCM of the given numbers is 2 x 2 x 116 x 1733 = 804112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/804112

Therefore, the GCF of Fractions 8718/464,4315/6932 is 1/804112

Least Common Multiple of 464,6932 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 464,6932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,6932) = 4

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

GCF(464,6932) x common factors =4 x 1 = 4

LCM(464,6932) = ( 464 × 6932 ) / 4

LCM(464,6932) = 3216448 / 4

LCM(464,6932) = 804112

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8718/464, 4315/6932

1. What is the HCF of 8718,4315?

The HCF of 8718,4315 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 8718/464, 4315/6932?

Answer: GCF of Numerators as per given numbers 8718/464, 4315/6932 is

GCF of Numerators i.e. for 8718,4315 is 1

LCM of denominators i.e. for 464,6932 is 804112.

Thus, GCF of Fractions is 1/804112.Finally, GCF of Fractions for 8718/464, 4315/6932 is 1/804112.