How to Find GCF of 3021/925, 9653/1654?

GCF of 3021/925, 9653/1654

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 3021/925, 9653/1654 i.e 1/1529950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3021/925, 9653/1654.

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 3021/925,9653/1654?

Given fractions are 3021/925,9653/1654

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 3021/925,9653/1654, numerators are 3021,9653

Denominators are 925,1654

The GCF of 3021,9653 is 1 .

LCM of 925,1654 is 1529950.

The greatest common factor of 3021/925,9653/1654 = [GCF of 3021,9653]/[LCM of 925,1654]= 1/1529950

Therefore, the GCF of 3021/925,9653/1654 is 1/1529950.

Greatest Common Factor of 3021,9653

To find the highest common factor of 3021,9653, 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 9653 are 1, 7, 49, 197, 1379, 9653

The HCF of 3021,9653 is 1.

Lets's calculate GCF of 3021,9653

Greatest Common Factor (GCF) of 3021,9653 By Common Division

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

Greatest Common Factor of 3021,9653 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 9653

1,7,49,197,1379,9653

Greatest Common Factor

We found the factors 3021,9653 . The biggest common factor number is the GCF number.
So the greatest common factor 3021,9653 is 1.

Lets's calculate LCM of 925,1654

Lowest Common Multiple of 925,1654 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1529950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1529950

Therefore, the GCF of Fractions 3021/925,9653/1654 is 1/1529950

Least Common Multiple of 925,1654 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 925,1654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,1654) = 1

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

GCF(925,1654) x common factors =1 x 1 = 1

LCM(925,1654) = ( 925 × 1654 ) / 1

LCM(925,1654) = 1529950 / 1

LCM(925,1654) = 1529950

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FAQs on GCF of Fractions of 3021/925, 9653/1654

1. What is the HCF of 3021,9653?

The HCF of 3021,9653 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 3021/925, 9653/1654?

Answer: GCF of Numerators as per given numbers 3021/925, 9653/1654 is

GCF of Numerators i.e. for 3021,9653 is 1

LCM of denominators i.e. for 925,1654 is 1529950.

Thus, GCF of Fractions is 1/1529950.Finally, GCF of Fractions for 3021/925, 9653/1654 is 1/1529950.