How to Find GCF of 9654/140, 2483/2153?

GCF of 9654/140, 2483/2153

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 9654/140, 2483/2153 i.e 1/301420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9654/140, 2483/2153.

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 9654/140,2483/2153?

Given fractions are 9654/140,2483/2153

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 9654/140,2483/2153, numerators are 9654,2483

Denominators are 140,2153

The GCF of 9654,2483 is 1 .

LCM of 140,2153 is 301420.

The greatest common factor of 9654/140,2483/2153 = [GCF of 9654,2483]/[LCM of 140,2153]= 1/301420

Therefore, the GCF of 9654/140,2483/2153 is 1/301420.

Greatest Common Factor of 9654,2483

To find the highest common factor of 9654,2483, we have to find the factors of both numbers and list the highest common factor.

The factors of 9654 are 1, 2, 3, 6, 1609, 3218, 4827, 9654

The factors of 2483 are 1, 13, 191, 2483

The HCF of 9654,2483 is 1.

Lets's calculate GCF of 9654,2483

Greatest Common Factor (GCF) of 9654,2483 By Common Division

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

Greatest Common Factor of 9654,2483 By Matching Biggest Common Factor Method

Now, list down the factors of 9654

1,2,3,6,1609,3218,4827,9654

Now, list down the factors of 2483

1,13,191,2483

Greatest Common Factor

We found the factors 9654,2483 . The biggest common factor number is the GCF number.
So the greatest common factor 9654,2483 is 1.

Lets's calculate LCM of 140,2153

Lowest Common Multiple of 140,2153 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 301420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301420

Therefore, the GCF of Fractions 9654/140,2483/2153 is 1/301420

Least Common Multiple of 140,2153 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 140,2153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,2153) = 1

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

GCF(140,2153) x common factors =1 x 1 = 1

LCM(140,2153) = ( 140 × 2153 ) / 1

LCM(140,2153) = 301420 / 1

LCM(140,2153) = 301420

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FAQs on GCF of Fractions of 9654/140, 2483/2153

1. What is the HCF of 9654,2483?

The HCF of 9654,2483 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 9654/140, 2483/2153?

Answer: GCF of Numerators as per given numbers 9654/140, 2483/2153 is

GCF of Numerators i.e. for 9654,2483 is 1

LCM of denominators i.e. for 140,2153 is 301420.

Thus, GCF of Fractions is 1/301420.Finally, GCF of Fractions for 9654/140, 2483/2153 is 1/301420.