How to Find GCF of 3021/989, 9146/1622?

GCF of 3021/989, 9146/1622

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 3021/989, 9146/1622 i.e 1/1604158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3021/989, 9146/1622.

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 3021/989,9146/1622?

Given fractions are 3021/989,9146/1622

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 3021/989,9146/1622, numerators are 3021,9146

Denominators are 989,1622

The GCF of 3021,9146 is 1 .

LCM of 989,1622 is 1604158.

The greatest common factor of 3021/989,9146/1622 = [GCF of 3021,9146]/[LCM of 989,1622]= 1/1604158

Therefore, the GCF of 3021/989,9146/1622 is 1/1604158.

Greatest Common Factor of 3021,9146

To find the highest common factor of 3021,9146, we have to find the factors of both numbers and list the highest common factor.

The factors of 3021 are 1, 3, 19, 53, 57, 159, 1007, 3021

The factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146

The HCF of 3021,9146 is 1.

Lets's calculate GCF of 3021,9146

Greatest Common Factor (GCF) of 3021,9146 By Common Division

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

Greatest Common Factor of 3021,9146 By Matching Biggest Common Factor Method

Now, list down the factors of 3021

1,3,19,53,57,159,1007,3021

Now, list down the factors of 9146

1,2,17,34,269,538,4573,9146

Greatest Common Factor

We found the factors 3021,9146 . The biggest common factor number is the GCF number.
So the greatest common factor 3021,9146 is 1.

Lets's calculate LCM of 989,1622

Lowest Common Multiple of 989,1622 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1604158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1604158

Therefore, the GCF of Fractions 3021/989,9146/1622 is 1/1604158

Least Common Multiple of 989,1622 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 989,1622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,1622) = 1

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

GCF(989,1622) x common factors =1 x 1 = 1

LCM(989,1622) = ( 989 × 1622 ) / 1

LCM(989,1622) = 1604158 / 1

LCM(989,1622) = 1604158

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3021/989, 9146/1622

1. What is the HCF of 3021,9146?

The HCF of 3021,9146 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 3021/989, 9146/1622?

Answer: GCF of Numerators as per given numbers 3021/989, 9146/1622 is

GCF of Numerators i.e. for 3021,9146 is 1

LCM of denominators i.e. for 989,1622 is 1604158.

Thus, GCF of Fractions is 1/1604158.Finally, GCF of Fractions for 3021/989, 9146/1622 is 1/1604158.