How to Find GCF of 9062/792, 5710/6372?

GCF of 9062/792, 5710/6372

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 9062/792, 5710/6372 i.e 2/140184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9062/792, 5710/6372.

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 9062/792,5710/6372?

Given fractions are 9062/792,5710/6372

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 9062/792,5710/6372, numerators are 9062,5710

Denominators are 792,6372

The GCF of 9062,5710 is 2 .

LCM of 792,6372 is 140184.

The greatest common factor of 9062/792,5710/6372 = [GCF of 9062,5710]/[LCM of 792,6372]= 2/140184

Therefore, the GCF of 9062/792,5710/6372 is 2/140184.

Greatest Common Factor of 9062,5710

To find the highest common factor of 9062,5710, we have to find the factors of both numbers and list the highest common factor.

The factors of 9062 are 1, 2, 23, 46, 197, 394, 4531, 9062

The factors of 5710 are 1, 2, 5, 10, 571, 1142, 2855, 5710

The HCF of 9062,5710 is 2.

Lets's calculate GCF of 9062,5710

Greatest Common Factor (GCF) of 9062,5710 By Common Division

2	9062, 5710
	4531, 2855

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

Greatest Common Factor of 9062,5710 By Matching Biggest Common Factor Method

Now, list down the factors of 9062

1,2,23,46,197,394,4531,9062

Now, list down the factors of 5710

1,2,5,10,571,1142,2855,5710

Greatest Common Factor

We found the factors 9062,5710 . The biggest common factor number is the GCF number.
So the greatest common factor 9062,5710 is 2.

Lets's calculate LCM of 792,6372

Lowest Common Multiple of 792,6372 using Common Division

2	792, 6372
2	396, 3186
3	198, 1593
3	66, 531
	22, 177

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 22 x 177 = 140184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/140184

Therefore, the GCF of Fractions 9062/792,5710/6372 is 2/140184

Least Common Multiple of 792,6372 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 792,6372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,6372) = 36

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

GCF(792,6372) x common factors =36 x 1 = 36

LCM(792,6372) = ( 792 × 6372 ) / 36

LCM(792,6372) = 5046624 / 36

LCM(792,6372) = 140184

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FAQs on GCF of Fractions of 9062/792, 5710/6372

1. What is the HCF of 9062,5710?

The HCF of 9062,5710 is 2

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 9062/792, 5710/6372?

Answer: GCF of Numerators as per given numbers 9062/792, 5710/6372 is

GCF of Numerators i.e. for 9062,5710 is 2

LCM of denominators i.e. for 792,6372 is 140184.

Thus, GCF of Fractions is 2/140184.Finally, GCF of Fractions for 9062/792, 5710/6372 is 2/140184.