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GCF of 9497/866, 6257/1470

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 9497/866, 6257/1470 i.e 1/636510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9497/866, 6257/1470.

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 9497/866,6257/1470?

Given fractions are 9497/866,6257/1470

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 9497/866,6257/1470, numerators are 9497,6257

Denominators are 866,1470

The GCF of 9497,6257 is 1 .

LCM of 866,1470 is 636510.

The greatest common factor of 9497/866,6257/1470 = [GCF of 9497,6257]/[LCM of 866,1470]= 1/636510

Therefore, the GCF of 9497/866,6257/1470 is 1/636510.

Greatest Common Factor of 9497,6257

To find the highest common factor of 9497,6257, 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 6257 are 1, 6257

The HCF of 9497,6257 is 1.

Lets's calculate GCF of 9497,6257

Greatest Common Factor (GCF) of 9497,6257 By Common Division

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

Greatest Common Factor of 9497,6257 By Matching Biggest Common Factor Method

Greatest Common Factor of 9497,6257 By Matching Biggest Common Factor Method

Now, list down the factors of 9497

:

1,9497

Now, list down the factors of 6257

:

1,6257

Greatest Common Factor

We found the factors 9497,6257 . The biggest common factor number is the GCF number.
So the greatest common factor 9497,6257 is 1.

Lets's calculate LCM of 866,1470

Lowest Common Multiple of 866,1470 using Common Division

2 866, 1470
433, 735

∴ So the LCM of the given numbers is 2 x 433 x 735 = 636510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/636510

Therefore, the GCF of Fractions 9497/866,6257/1470 is 1/636510

Least Common Multiple of 866,1470 with GCF Formula

Least Common Multiple of 866,1470 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 866,1470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,1470) = 2

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

GCF(866,1470) x common factors =2 x 1 = 2

LCM(866,1470) = ( 866 × 1470 ) / 2

LCM(866,1470) = 1273020 / 2

LCM(866,1470) = 636510


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9497/866, 6257/1470

1. What is the HCF of 9497,6257?

The HCF of 9497,6257 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 9497/866, 6257/1470?

Answer: GCF of Numerators as per given numbers 9497/866, 6257/1470 is

GCF of Numerators i.e. for 9497,6257 is 1

LCM of denominators i.e. for 866,1470 is 636510.

Thus, GCF of Fractions is 1/636510.Finally, GCF of Fractions for 9497/866, 6257/1470 is 1/636510.