How to Find GCF of 9622/921, 3610/6134?

GCF of 9622/921, 3610/6134

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 9622/921, 3610/6134 i.e 2/5649414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9622/921, 3610/6134.

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 9622/921,3610/6134?

Given fractions are 9622/921,3610/6134

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 9622/921,3610/6134, numerators are 9622,3610

Denominators are 921,6134

The GCF of 9622,3610 is 2 .

LCM of 921,6134 is 5649414.

The greatest common factor of 9622/921,3610/6134 = [GCF of 9622,3610]/[LCM of 921,6134]= 2/5649414

Therefore, the GCF of 9622/921,3610/6134 is 2/5649414.

Greatest Common Factor of 9622,3610

To find the highest common factor of 9622,3610, we have to find the factors of both numbers and list the highest common factor.

The factors of 9622 are 1, 2, 17, 34, 283, 566, 4811, 9622

The factors of 3610 are 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610

The HCF of 9622,3610 is 2.

Lets's calculate GCF of 9622,3610

Greatest Common Factor (GCF) of 9622,3610 By Common Division

2	9622, 3610
	4811, 1805

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

Greatest Common Factor of 9622,3610 By Matching Biggest Common Factor Method

Now, list down the factors of 9622

1,2,17,34,283,566,4811,9622

Now, list down the factors of 3610

1,2,5,10,19,38,95,190,361,722,1805,3610

Greatest Common Factor

We found the factors 9622,3610 . The biggest common factor number is the GCF number.
So the greatest common factor 9622,3610 is 2.

Lets's calculate LCM of 921,6134

Lowest Common Multiple of 921,6134 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5649414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5649414

Therefore, the GCF of Fractions 9622/921,3610/6134 is 2/5649414

Least Common Multiple of 921,6134 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 921,6134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,6134) = 1

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

GCF(921,6134) x common factors =1 x 1 = 1

LCM(921,6134) = ( 921 × 6134 ) / 1

LCM(921,6134) = 5649414 / 1

LCM(921,6134) = 5649414

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9622/921, 3610/6134

1. What is the HCF of 9622,3610?

The HCF of 9622,3610 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 9622/921, 3610/6134?

Answer: GCF of Numerators as per given numbers 9622/921, 3610/6134 is

GCF of Numerators i.e. for 9622,3610 is 2

LCM of denominators i.e. for 921,6134 is 5649414.

Thus, GCF of Fractions is 2/5649414.Finally, GCF of Fractions for 9622/921, 3610/6134 is 2/5649414.