How to Find GCF of 9652/280, 5277/6397?

GCF of 9652/280, 5277/6397

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 9652/280, 5277/6397 i.e 1/1791160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9652/280, 5277/6397.

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 9652/280,5277/6397?

Given fractions are 9652/280,5277/6397

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 9652/280,5277/6397, numerators are 9652,5277

Denominators are 280,6397

The GCF of 9652,5277 is 1 .

LCM of 280,6397 is 1791160.

The greatest common factor of 9652/280,5277/6397 = [GCF of 9652,5277]/[LCM of 280,6397]= 1/1791160

Therefore, the GCF of 9652/280,5277/6397 is 1/1791160.

Greatest Common Factor of 9652,5277

To find the highest common factor of 9652,5277, 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 5277 are 1, 3, 1759, 5277

The HCF of 9652,5277 is 1.

Lets's calculate GCF of 9652,5277

Greatest Common Factor (GCF) of 9652,5277 By Common Division

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

Greatest Common Factor of 9652,5277 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 5277

1,3,1759,5277

Greatest Common Factor

We found the factors 9652,5277 . The biggest common factor number is the GCF number.
So the greatest common factor 9652,5277 is 1.

Lets's calculate LCM of 280,6397

Lowest Common Multiple of 280,6397 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1791160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1791160

Therefore, the GCF of Fractions 9652/280,5277/6397 is 1/1791160

Least Common Multiple of 280,6397 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 280,6397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,6397) = 1

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

GCF(280,6397) x common factors =1 x 1 = 1

LCM(280,6397) = ( 280 × 6397 ) / 1

LCM(280,6397) = 1791160 / 1

LCM(280,6397) = 1791160

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FAQs on GCF of Fractions of 9652/280, 5277/6397

1. What is the HCF of 9652,5277?

The HCF of 9652,5277 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 9652/280, 5277/6397?

Answer: GCF of Numerators as per given numbers 9652/280, 5277/6397 is

GCF of Numerators i.e. for 9652,5277 is 1

LCM of denominators i.e. for 280,6397 is 1791160.

Thus, GCF of Fractions is 1/1791160.Finally, GCF of Fractions for 9652/280, 5277/6397 is 1/1791160.