How to Find GCF of 9645/548, 2129/9628?

GCF of 9645/548, 2129/9628

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 9645/548, 2129/9628 i.e 1/1319036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9645/548, 2129/9628.

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 9645/548,2129/9628?

Given fractions are 9645/548,2129/9628

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 9645/548,2129/9628, numerators are 9645,2129

Denominators are 548,9628

The GCF of 9645,2129 is 1 .

LCM of 548,9628 is 1319036.

The greatest common factor of 9645/548,2129/9628 = [GCF of 9645,2129]/[LCM of 548,9628]= 1/1319036

Therefore, the GCF of 9645/548,2129/9628 is 1/1319036.

Greatest Common Factor of 9645,2129

To find the highest common factor of 9645,2129, we have to find the factors of both numbers and list the highest common factor.

The factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645

The factors of 2129 are 1, 2129

The HCF of 9645,2129 is 1.

Lets's calculate GCF of 9645,2129

Greatest Common Factor (GCF) of 9645,2129 By Common Division

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

Greatest Common Factor of 9645,2129 By Matching Biggest Common Factor Method

Now, list down the factors of 9645

1,3,5,15,643,1929,3215,9645

Now, list down the factors of 2129

1,2129

Greatest Common Factor

We found the factors 9645,2129 . The biggest common factor number is the GCF number.
So the greatest common factor 9645,2129 is 1.

Lets's calculate LCM of 548,9628

Lowest Common Multiple of 548,9628 using Common Division

2	548, 9628
2	274, 4814
	137, 2407

∴ So the LCM of the given numbers is 2 x 2 x 137 x 2407 = 1319036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1319036

Therefore, the GCF of Fractions 9645/548,2129/9628 is 1/1319036

Least Common Multiple of 548,9628 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 548,9628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,9628) = 4

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

GCF(548,9628) x common factors =4 x 1 = 4

LCM(548,9628) = ( 548 × 9628 ) / 4

LCM(548,9628) = 5276144 / 4

LCM(548,9628) = 1319036

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9645/548, 2129/9628

1. What is the HCF of 9645,2129?

The HCF of 9645,2129 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 9645/548, 2129/9628?

Answer: GCF of Numerators as per given numbers 9645/548, 2129/9628 is

GCF of Numerators i.e. for 9645,2129 is 1

LCM of denominators i.e. for 548,9628 is 1319036.

Thus, GCF of Fractions is 1/1319036.Finally, GCF of Fractions for 9645/548, 2129/9628 is 1/1319036.