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GCF of 5927/300, 8138/6455

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 5927/300, 8138/6455 i.e 1/387300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5927/300, 8138/6455.

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 5927/300,8138/6455?

Given fractions are 5927/300,8138/6455

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 5927/300,8138/6455, numerators are 5927,8138

Denominators are 300,6455

The GCF of 5927,8138 is 1 .

LCM of 300,6455 is 387300.

The greatest common factor of 5927/300,8138/6455 = [GCF of 5927,8138]/[LCM of 300,6455]= 1/387300

Therefore, the GCF of 5927/300,8138/6455 is 1/387300.

Greatest Common Factor of 5927,8138

To find the highest common factor of 5927,8138, we have to find the factors of both numbers and list the highest common factor.

The factors of 5927 are 1, 5927

The factors of 8138 are 1, 2, 13, 26, 313, 626, 4069, 8138

The HCF of 5927,8138 is 1.

Lets's calculate GCF of 5927,8138

Greatest Common Factor (GCF) of 5927,8138 By Common Division

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

Greatest Common Factor of 5927,8138 By Matching Biggest Common Factor Method

Greatest Common Factor of 5927,8138 By Matching Biggest Common Factor Method

Now, list down the factors of 5927

:

1,5927

Now, list down the factors of 8138

:

1,2,13,26,313,626,4069,8138

Greatest Common Factor

We found the factors 5927,8138 . The biggest common factor number is the GCF number.
So the greatest common factor 5927,8138 is 1.

Lets's calculate LCM of 300,6455

Lowest Common Multiple of 300,6455 using Common Division

5 300, 6455
60, 1291

∴ So the LCM of the given numbers is 5 x 60 x 1291 = 387300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387300

Therefore, the GCF of Fractions 5927/300,8138/6455 is 1/387300

Least Common Multiple of 300,6455 with GCF Formula

Least Common Multiple of 300,6455 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 300,6455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,6455) = 5

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

GCF(300,6455) x common factors =5 x 1 = 5

LCM(300,6455) = ( 300 × 6455 ) / 5

LCM(300,6455) = 1936500 / 5

LCM(300,6455) = 387300


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FAQs on GCF of Fractions of 5927/300, 8138/6455

1. What is the HCF of 5927,8138?

The HCF of 5927,8138 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 5927/300, 8138/6455?

Answer: GCF of Numerators as per given numbers 5927/300, 8138/6455 is

GCF of Numerators i.e. for 5927,8138 is 1

LCM of denominators i.e. for 300,6455 is 387300.

Thus, GCF of Fractions is 1/387300.Finally, GCF of Fractions for 5927/300, 8138/6455 is 1/387300.