How to Find GCF of 9062/407, 9610/8749?

GCF of 9062/407, 9610/8749

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 9062/407, 9610/8749 i.e 2/3560843 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9062/407, 9610/8749.

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 9062/407,9610/8749?

Given fractions are 9062/407,9610/8749

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 9062/407,9610/8749, numerators are 9062,9610

Denominators are 407,8749

The GCF of 9062,9610 is 2 .

LCM of 407,8749 is 3560843.

The greatest common factor of 9062/407,9610/8749 = [GCF of 9062,9610]/[LCM of 407,8749]= 2/3560843

Therefore, the GCF of 9062/407,9610/8749 is 2/3560843.

Greatest Common Factor of 9062,9610

To find the highest common factor of 9062,9610, 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 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610

The HCF of 9062,9610 is 2.

Lets's calculate GCF of 9062,9610

Greatest Common Factor (GCF) of 9062,9610 By Common Division

2	9062, 9610
	4531, 4805

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

Greatest Common Factor of 9062,9610 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 9610

1,2,5,10,31,62,155,310,961,1922,4805,9610

Greatest Common Factor

We found the factors 9062,9610 . The biggest common factor number is the GCF number.
So the greatest common factor 9062,9610 is 2.

Lets's calculate LCM of 407,8749

Lowest Common Multiple of 407,8749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3560843

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3560843

Therefore, the GCF of Fractions 9062/407,9610/8749 is 2/3560843

Least Common Multiple of 407,8749 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 407,8749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,8749) = 1

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

GCF(407,8749) x common factors =1 x 1 = 1

LCM(407,8749) = ( 407 × 8749 ) / 1

LCM(407,8749) = 3560843 / 1

LCM(407,8749) = 3560843

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FAQs on GCF of Fractions of 9062/407, 9610/8749

1. What is the HCF of 9062,9610?

The HCF of 9062,9610 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 9062/407, 9610/8749?

Answer: GCF of Numerators as per given numbers 9062/407, 9610/8749 is

GCF of Numerators i.e. for 9062,9610 is 2

LCM of denominators i.e. for 407,8749 is 3560843.

Thus, GCF of Fractions is 2/3560843.Finally, GCF of Fractions for 9062/407, 9610/8749 is 2/3560843.