How to Find GCF of 6291/962, 8062/568?

GCF of 6291/962, 8062/568

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 6291/962, 8062/568 i.e 1/273208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6291/962, 8062/568.

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 6291/962,8062/568?

Given fractions are 6291/962,8062/568

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 6291/962,8062/568, numerators are 6291,8062

Denominators are 962,568

The GCF of 6291,8062 is 1 .

LCM of 962,568 is 273208.

The greatest common factor of 6291/962,8062/568 = [GCF of 6291,8062]/[LCM of 962,568]= 1/273208

Therefore, the GCF of 6291/962,8062/568 is 1/273208.

Greatest Common Factor of 6291,8062

To find the highest common factor of 6291,8062, we have to find the factors of both numbers and list the highest common factor.

The factors of 6291 are 1, 3, 9, 27, 233, 699, 2097, 6291

The factors of 8062 are 1, 2, 29, 58, 139, 278, 4031, 8062

The HCF of 6291,8062 is 1.

Lets's calculate GCF of 6291,8062

Greatest Common Factor (GCF) of 6291,8062 By Common Division

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

Greatest Common Factor of 6291,8062 By Matching Biggest Common Factor Method

Now, list down the factors of 6291

1,3,9,27,233,699,2097,6291

Now, list down the factors of 8062

1,2,29,58,139,278,4031,8062

Greatest Common Factor

We found the factors 6291,8062 . The biggest common factor number is the GCF number.
So the greatest common factor 6291,8062 is 1.

Lets's calculate LCM of 962,568

Lowest Common Multiple of 962,568 using Common Division

2	962, 568
	481, 284

∴ So the LCM of the given numbers is 2 x 481 x 284 = 273208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273208

Therefore, the GCF of Fractions 6291/962,8062/568 is 1/273208

Least Common Multiple of 962,568 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 962,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,568) = 2

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

GCF(962,568) x common factors =2 x 1 = 2

LCM(962,568) = ( 962 × 568 ) / 2

LCM(962,568) = 546416 / 2

LCM(962,568) = 273208

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FAQs on GCF of Fractions of 6291/962, 8062/568

1. What is the HCF of 6291,8062?

The HCF of 6291,8062 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 6291/962, 8062/568?

Answer: GCF of Numerators as per given numbers 6291/962, 8062/568 is

GCF of Numerators i.e. for 6291,8062 is 1

LCM of denominators i.e. for 962,568 is 273208.

Thus, GCF of Fractions is 1/273208.Finally, GCF of Fractions for 6291/962, 8062/568 is 1/273208.