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GCF of 8503/237, 7762/5397

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 8503/237, 7762/5397 i.e 1/426363 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8503/237, 7762/5397.

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 8503/237,7762/5397?

Given fractions are 8503/237,7762/5397

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 8503/237,7762/5397, numerators are 8503,7762

Denominators are 237,5397

The GCF of 8503,7762 is 1 .

LCM of 237,5397 is 426363.

The greatest common factor of 8503/237,7762/5397 = [GCF of 8503,7762]/[LCM of 237,5397]= 1/426363

Therefore, the GCF of 8503/237,7762/5397 is 1/426363.

Greatest Common Factor of 8503,7762

To find the highest common factor of 8503,7762, we have to find the factors of both numbers and list the highest common factor.

The factors of 8503 are 1, 11, 773, 8503

The factors of 7762 are 1, 2, 3881, 7762

The HCF of 8503,7762 is 1.

Lets's calculate GCF of 8503,7762

Greatest Common Factor (GCF) of 8503,7762 By Common Division

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

Greatest Common Factor of 8503,7762 By Matching Biggest Common Factor Method

Greatest Common Factor of 8503,7762 By Matching Biggest Common Factor Method

Now, list down the factors of 8503

:

1,11,773,8503

Now, list down the factors of 7762

:

1,2,3881,7762

Greatest Common Factor

We found the factors 8503,7762 . The biggest common factor number is the GCF number.
So the greatest common factor 8503,7762 is 1.

Lets's calculate LCM of 237,5397

Lowest Common Multiple of 237,5397 using Common Division

3 237, 5397
79, 1799

∴ So the LCM of the given numbers is 3 x 79 x 1799 = 426363

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426363

Therefore, the GCF of Fractions 8503/237,7762/5397 is 1/426363

Least Common Multiple of 237,5397 with GCF Formula

Least Common Multiple of 237,5397 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 237,5397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,5397) = 3

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

GCF(237,5397) x common factors =3 x 1 = 3

LCM(237,5397) = ( 237 × 5397 ) / 3

LCM(237,5397) = 1279089 / 3

LCM(237,5397) = 426363


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8503/237, 7762/5397

1. What is the HCF of 8503,7762?

The HCF of 8503,7762 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 8503/237, 7762/5397?

Answer: GCF of Numerators as per given numbers 8503/237, 7762/5397 is

GCF of Numerators i.e. for 8503,7762 is 1

LCM of denominators i.e. for 237,5397 is 426363.

Thus, GCF of Fractions is 1/426363.Finally, GCF of Fractions for 8503/237, 7762/5397 is 1/426363.