How to Find GCF of 9153/469, 7810/3272?

GCF of 9153/469, 7810/3272

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 9153/469, 7810/3272 i.e 1/1534568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9153/469, 7810/3272.

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 9153/469,7810/3272?

Given fractions are 9153/469,7810/3272

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 9153/469,7810/3272, numerators are 9153,7810

Denominators are 469,3272

The GCF of 9153,7810 is 1 .

LCM of 469,3272 is 1534568.

The greatest common factor of 9153/469,7810/3272 = [GCF of 9153,7810]/[LCM of 469,3272]= 1/1534568

Therefore, the GCF of 9153/469,7810/3272 is 1/1534568.

Greatest Common Factor of 9153,7810

To find the highest common factor of 9153,7810, we have to find the factors of both numbers and list the highest common factor.

The factors of 9153 are 1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153

The factors of 7810 are 1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905, 7810

The HCF of 9153,7810 is 1.

Lets's calculate GCF of 9153,7810

Greatest Common Factor (GCF) of 9153,7810 By Common Division

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

Greatest Common Factor of 9153,7810 By Matching Biggest Common Factor Method

Now, list down the factors of 9153

1,3,9,27,81,113,339,1017,3051,9153

Now, list down the factors of 7810

1,2,5,10,11,22,55,71,110,142,355,710,781,1562,3905,7810

Greatest Common Factor

We found the factors 9153,7810 . The biggest common factor number is the GCF number.
So the greatest common factor 9153,7810 is 1.

Lets's calculate LCM of 469,3272

Lowest Common Multiple of 469,3272 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1534568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1534568

Therefore, the GCF of Fractions 9153/469,7810/3272 is 1/1534568

Least Common Multiple of 469,3272 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 469,3272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,3272) = 1

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

GCF(469,3272) x common factors =1 x 1 = 1

LCM(469,3272) = ( 469 × 3272 ) / 1

LCM(469,3272) = 1534568 / 1

LCM(469,3272) = 1534568

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FAQs on GCF of Fractions of 9153/469, 7810/3272

1. What is the HCF of 9153,7810?

The HCF of 9153,7810 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 9153/469, 7810/3272?

Answer: GCF of Numerators as per given numbers 9153/469, 7810/3272 is

GCF of Numerators i.e. for 9153,7810 is 1

LCM of denominators i.e. for 469,3272 is 1534568.

Thus, GCF of Fractions is 1/1534568.Finally, GCF of Fractions for 9153/469, 7810/3272 is 1/1534568.