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GCF of 243/379, 830/500

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 243/379, 830/500 i.e 1/189500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 243/379, 830/500.

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 243/379,830/500?

Given fractions are 243/379,830/500

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 243/379,830/500, numerators are 243,830

Denominators are 379,500

The GCF of 243,830 is 1 .

LCM of 379,500 is 189500.

The greatest common factor of 243/379,830/500 = [GCF of 243,830]/[LCM of 379,500]= 1/189500

Therefore, the GCF of 243/379,830/500 is 1/189500.

Greatest Common Factor of 243,830

To find the highest common factor of 243,830, we have to find the factors of both numbers and list the highest common factor.

The factors of 243 are 1, 3, 9, 27, 81, 243

The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830

The HCF of 243,830 is 1.

Lets's calculate GCF of 243,830

Greatest Common Factor (GCF) of 243,830 By Common Division

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

Greatest Common Factor of 243,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,830 By Matching Biggest Common Factor Method

Now, list down the factors of 243

:

1,3,9,27,81,243

Now, list down the factors of 830

:

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 243,830 . The biggest common factor number is the GCF number.
So the greatest common factor 243,830 is 1.

Lets's calculate LCM of 379,500

Lowest Common Multiple of 379,500 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 189500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189500

Therefore, the GCF of Fractions 243/379,830/500 is 1/189500

Least Common Multiple of 379,500 with GCF Formula

Least Common Multiple of 379,500 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 379,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,500) = 1

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

GCF(379,500) x common factors =1 x 1 = 1

LCM(379,500) = ( 379 × 500 ) / 1

LCM(379,500) = 189500 / 1

LCM(379,500) = 189500


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FAQs on GCF of Fractions of 243/379, 830/500

1. What is the HCF of 243,830?

The HCF of 243,830 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 243/379, 830/500?

Answer: GCF of Numerators as per given numbers 243/379, 830/500 is

GCF of Numerators i.e. for 243,830 is 1

LCM of denominators i.e. for 379,500 is 189500.

Thus, GCF of Fractions is 1/189500.Finally, GCF of Fractions for 243/379, 830/500 is 1/189500.