How to Find GCF of 8059/962, 9462/8032?

GCF of 8059/962, 9462/8032

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 8059/962, 9462/8032 i.e 1/3863392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8059/962, 9462/8032.

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 8059/962,9462/8032?

Given fractions are 8059/962,9462/8032

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 8059/962,9462/8032, numerators are 8059,9462

Denominators are 962,8032

The GCF of 8059,9462 is 1 .

LCM of 962,8032 is 3863392.

The greatest common factor of 8059/962,9462/8032 = [GCF of 8059,9462]/[LCM of 962,8032]= 1/3863392

Therefore, the GCF of 8059/962,9462/8032 is 1/3863392.

Greatest Common Factor of 8059,9462

To find the highest common factor of 8059,9462, we have to find the factors of both numbers and list the highest common factor.

The factors of 8059 are 1, 8059

The factors of 9462 are 1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462

The HCF of 8059,9462 is 1.

Lets's calculate GCF of 8059,9462

Greatest Common Factor (GCF) of 8059,9462 By Common Division

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

Greatest Common Factor of 8059,9462 By Matching Biggest Common Factor Method

Now, list down the factors of 8059

1,8059

Now, list down the factors of 9462

1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462

Greatest Common Factor

We found the factors 8059,9462 . The biggest common factor number is the GCF number.
So the greatest common factor 8059,9462 is 1.

Lets's calculate LCM of 962,8032

Lowest Common Multiple of 962,8032 using Common Division

2	962, 8032
	481, 4016

∴ So the LCM of the given numbers is 2 x 481 x 4016 = 3863392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3863392

Therefore, the GCF of Fractions 8059/962,9462/8032 is 1/3863392

Least Common Multiple of 962,8032 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 962,8032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,8032) = 2

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

GCF(962,8032) x common factors =2 x 1 = 2

LCM(962,8032) = ( 962 × 8032 ) / 2

LCM(962,8032) = 7726784 / 2

LCM(962,8032) = 3863392

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8059/962, 9462/8032

1. What is the HCF of 8059,9462?

The HCF of 8059,9462 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 8059/962, 9462/8032?

Answer: GCF of Numerators as per given numbers 8059/962, 9462/8032 is

GCF of Numerators i.e. for 8059,9462 is 1

LCM of denominators i.e. for 962,8032 is 3863392.

Thus, GCF of Fractions is 1/3863392.Finally, GCF of Fractions for 8059/962, 9462/8032 is 1/3863392.