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GCF of 7397/866, 5051/6837

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 7397/866, 5051/6837 i.e 1/5920842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7397/866, 5051/6837.

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 7397/866,5051/6837?

Given fractions are 7397/866,5051/6837

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 7397/866,5051/6837, numerators are 7397,5051

Denominators are 866,6837

The GCF of 7397,5051 is 1 .

LCM of 866,6837 is 5920842.

The greatest common factor of 7397/866,5051/6837 = [GCF of 7397,5051]/[LCM of 866,6837]= 1/5920842

Therefore, the GCF of 7397/866,5051/6837 is 1/5920842.

Greatest Common Factor of 7397,5051

To find the highest common factor of 7397,5051, we have to find the factors of both numbers and list the highest common factor.

The factors of 7397 are 1, 13, 569, 7397

The factors of 5051 are 1, 5051

The HCF of 7397,5051 is 1.

Lets's calculate GCF of 7397,5051

Greatest Common Factor (GCF) of 7397,5051 By Common Division

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

Greatest Common Factor of 7397,5051 By Matching Biggest Common Factor Method

Greatest Common Factor of 7397,5051 By Matching Biggest Common Factor Method

Now, list down the factors of 7397

:

1,13,569,7397

Now, list down the factors of 5051

:

1,5051

Greatest Common Factor

We found the factors 7397,5051 . The biggest common factor number is the GCF number.
So the greatest common factor 7397,5051 is 1.

Lets's calculate LCM of 866,6837

Lowest Common Multiple of 866,6837 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5920842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5920842

Therefore, the GCF of Fractions 7397/866,5051/6837 is 1/5920842

Least Common Multiple of 866,6837 with GCF Formula

Least Common Multiple of 866,6837 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 866,6837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,6837) = 1

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

GCF(866,6837) x common factors =1 x 1 = 1

LCM(866,6837) = ( 866 × 6837 ) / 1

LCM(866,6837) = 5920842 / 1

LCM(866,6837) = 5920842


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7397/866, 5051/6837

1. What is the HCF of 7397,5051?

The HCF of 7397,5051 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 7397/866, 5051/6837?

Answer: GCF of Numerators as per given numbers 7397/866, 5051/6837 is

GCF of Numerators i.e. for 7397,5051 is 1

LCM of denominators i.e. for 866,6837 is 5920842.

Thus, GCF of Fractions is 1/5920842.Finally, GCF of Fractions for 7397/866, 5051/6837 is 1/5920842.