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GCF of 8537/234, 1373/8590

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 8537/234, 1373/8590 i.e 1/1005030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8537/234, 1373/8590.

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 8537/234,1373/8590?

Given fractions are 8537/234,1373/8590

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 8537/234,1373/8590, numerators are 8537,1373

Denominators are 234,8590

The GCF of 8537,1373 is 1 .

LCM of 234,8590 is 1005030.

The greatest common factor of 8537/234,1373/8590 = [GCF of 8537,1373]/[LCM of 234,8590]= 1/1005030

Therefore, the GCF of 8537/234,1373/8590 is 1/1005030.

Greatest Common Factor of 8537,1373

To find the highest common factor of 8537,1373, we have to find the factors of both numbers and list the highest common factor.

The factors of 8537 are 1, 8537

The factors of 1373 are 1, 1373

The HCF of 8537,1373 is 1.

Lets's calculate GCF of 8537,1373

Greatest Common Factor (GCF) of 8537,1373 By Common Division

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

Greatest Common Factor of 8537,1373 By Matching Biggest Common Factor Method

Greatest Common Factor of 8537,1373 By Matching Biggest Common Factor Method

Now, list down the factors of 8537

:

1,8537

Now, list down the factors of 1373

:

1,1373

Greatest Common Factor

We found the factors 8537,1373 . The biggest common factor number is the GCF number.
So the greatest common factor 8537,1373 is 1.

Lets's calculate LCM of 234,8590

Lowest Common Multiple of 234,8590 using Common Division

2 234, 8590
117, 4295

∴ So the LCM of the given numbers is 2 x 117 x 4295 = 1005030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1005030

Therefore, the GCF of Fractions 8537/234,1373/8590 is 1/1005030

Least Common Multiple of 234,8590 with GCF Formula

Least Common Multiple of 234,8590 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 234,8590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,8590) = 2

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

GCF(234,8590) x common factors =2 x 1 = 2

LCM(234,8590) = ( 234 × 8590 ) / 2

LCM(234,8590) = 2010060 / 2

LCM(234,8590) = 1005030


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FAQs on GCF of Fractions of 8537/234, 1373/8590

1. What is the HCF of 8537,1373?

The HCF of 8537,1373 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 8537/234, 1373/8590?

Answer: GCF of Numerators as per given numbers 8537/234, 1373/8590 is

GCF of Numerators i.e. for 8537,1373 is 1

LCM of denominators i.e. for 234,8590 is 1005030.

Thus, GCF of Fractions is 1/1005030.Finally, GCF of Fractions for 8537/234, 1373/8590 is 1/1005030.