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GCF of 9497/270, 6155/5367

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 9497/270, 6155/5367 i.e 1/483030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9497/270, 6155/5367.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9497/270,6155/5367?

Given fractions are 9497/270,6155/5367

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 9497/270,6155/5367, numerators are 9497,6155

Denominators are 270,5367

The GCF of 9497,6155 is 1 .

LCM of 270,5367 is 483030.

The greatest common factor of 9497/270,6155/5367 = [GCF of 9497,6155]/[LCM of 270,5367]= 1/483030

Therefore, the GCF of 9497/270,6155/5367 is 1/483030.

Greatest Common Factor of 9497,6155

To find the highest common factor of 9497,6155, we have to find the factors of both numbers and list the highest common factor.

The factors of 9497 are 1, 9497

The factors of 6155 are 1, 5, 1231, 6155

The HCF of 9497,6155 is 1.

Lets's calculate GCF of 9497,6155

Greatest Common Factor (GCF) of 9497,6155 By Common Division

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

Greatest Common Factor of 9497,6155 By Matching Biggest Common Factor Method

Greatest Common Factor of 9497,6155 By Matching Biggest Common Factor Method

Now, list down the factors of 9497

:

1,9497

Now, list down the factors of 6155

:

1,5,1231,6155

Greatest Common Factor

We found the factors 9497,6155 . The biggest common factor number is the GCF number.
So the greatest common factor 9497,6155 is 1.

Lets's calculate LCM of 270,5367

Lowest Common Multiple of 270,5367 using Common Division

3 270, 5367
90, 1789

∴ So the LCM of the given numbers is 3 x 90 x 1789 = 483030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/483030

Therefore, the GCF of Fractions 9497/270,6155/5367 is 1/483030

Least Common Multiple of 270,5367 with GCF Formula

Least Common Multiple of 270,5367 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 270,5367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,5367) = 3

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

GCF(270,5367) x common factors =3 x 1 = 3

LCM(270,5367) = ( 270 × 5367 ) / 3

LCM(270,5367) = 1449090 / 3

LCM(270,5367) = 483030


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FAQs on GCF of Fractions of 9497/270, 6155/5367

1. What is the HCF of 9497,6155?

The HCF of 9497,6155 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 9497/270, 6155/5367?

Answer: GCF of Numerators as per given numbers 9497/270, 6155/5367 is

GCF of Numerators i.e. for 9497,6155 is 1

LCM of denominators i.e. for 270,5367 is 483030.

Thus, GCF of Fractions is 1/483030.Finally, GCF of Fractions for 9497/270, 6155/5367 is 1/483030.