How to Find GCF of 9652/365, 7573/4786?

GCF of 9652/365, 7573/4786

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 9652/365, 7573/4786 i.e 1/1746890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9652/365, 7573/4786.

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 9652/365,7573/4786?

Given fractions are 9652/365,7573/4786

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 9652/365,7573/4786, numerators are 9652,7573

Denominators are 365,4786

The GCF of 9652,7573 is 1 .

LCM of 365,4786 is 1746890.

The greatest common factor of 9652/365,7573/4786 = [GCF of 9652,7573]/[LCM of 365,4786]= 1/1746890

Therefore, the GCF of 9652/365,7573/4786 is 1/1746890.

Greatest Common Factor of 9652,7573

To find the highest common factor of 9652,7573, we have to find the factors of both numbers and list the highest common factor.

The factors of 9652 are 1, 2, 4, 19, 38, 76, 127, 254, 508, 2413, 4826, 9652

The factors of 7573 are 1, 7573

The HCF of 9652,7573 is 1.

Lets's calculate GCF of 9652,7573

Greatest Common Factor (GCF) of 9652,7573 By Common Division

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

Greatest Common Factor of 9652,7573 By Matching Biggest Common Factor Method

Now, list down the factors of 9652

1,2,4,19,38,76,127,254,508,2413,4826,9652

Now, list down the factors of 7573

1,7573

Greatest Common Factor

We found the factors 9652,7573 . The biggest common factor number is the GCF number.
So the greatest common factor 9652,7573 is 1.

Lets's calculate LCM of 365,4786

Lowest Common Multiple of 365,4786 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1746890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1746890

Therefore, the GCF of Fractions 9652/365,7573/4786 is 1/1746890

Least Common Multiple of 365,4786 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 365,4786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,4786) = 1

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

GCF(365,4786) x common factors =1 x 1 = 1

LCM(365,4786) = ( 365 × 4786 ) / 1

LCM(365,4786) = 1746890 / 1

LCM(365,4786) = 1746890

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FAQs on GCF of Fractions of 9652/365, 7573/4786

1. What is the HCF of 9652,7573?

The HCF of 9652,7573 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 9652/365, 7573/4786?

Answer: GCF of Numerators as per given numbers 9652/365, 7573/4786 is

GCF of Numerators i.e. for 9652,7573 is 1

LCM of denominators i.e. for 365,4786 is 1746890.

Thus, GCF of Fractions is 1/1746890.Finally, GCF of Fractions for 9652/365, 7573/4786 is 1/1746890.