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GCF of 617/810, 343/300

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 617/810, 343/300 i.e 1/8100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 617/810, 343/300.

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 617/810,343/300?

Given fractions are 617/810,343/300

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 617/810,343/300, numerators are 617,343

Denominators are 810,300

The GCF of 617,343 is 1 .

LCM of 810,300 is 8100.

The greatest common factor of 617/810,343/300 = [GCF of 617,343]/[LCM of 810,300]= 1/8100

Therefore, the GCF of 617/810,343/300 is 1/8100.

Greatest Common Factor of 617,343

To find the highest common factor of 617,343, we have to find the factors of both numbers and list the highest common factor.

The factors of 617 are 1, 617

The factors of 343 are 1, 7, 49, 343

The HCF of 617,343 is 1.

Lets's calculate GCF of 617,343

Greatest Common Factor (GCF) of 617,343 By Common Division

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

Greatest Common Factor of 617,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,343 By Matching Biggest Common Factor Method

Now, list down the factors of 617

:

1,617

Now, list down the factors of 343

:

1,7,49,343

Greatest Common Factor

We found the factors 617,343 . The biggest common factor number is the GCF number.
So the greatest common factor 617,343 is 1.

Lets's calculate LCM of 810,300

Lowest Common Multiple of 810,300 using Common Division

2 810, 300
3 405, 150
5 135, 50
27, 10

∴ So the LCM of the given numbers is 2 x 3 x 5 x 27 x 10 = 8100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8100

Therefore, the GCF of Fractions 617/810,343/300 is 1/8100

Least Common Multiple of 810,300 with GCF Formula

Least Common Multiple of 810,300 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 810,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,300) = 30

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

GCF(810,300) x common factors =30 x 1 = 30

LCM(810,300) = ( 810 × 300 ) / 30

LCM(810,300) = 243000 / 30

LCM(810,300) = 8100


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FAQs on GCF of Fractions of 617/810, 343/300

1. What is the HCF of 617,343?

The HCF of 617,343 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 617/810, 343/300?

Answer: GCF of Numerators as per given numbers 617/810, 343/300 is

GCF of Numerators i.e. for 617,343 is 1

LCM of denominators i.e. for 810,300 is 8100.

Thus, GCF of Fractions is 1/8100.Finally, GCF of Fractions for 617/810, 343/300 is 1/8100.