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GCF of 340/293, 839/931

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 340/293, 839/931 i.e 1/272783 easily. The following is the detailed procedure to determine the greatest common factor of fractions 340/293, 839/931.

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 340/293,839/931?

Given fractions are 340/293,839/931

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 340/293,839/931, numerators are 340,839

Denominators are 293,931

The GCF of 340,839 is 1 .

LCM of 293,931 is 272783.

The greatest common factor of 340/293,839/931 = [GCF of 340,839]/[LCM of 293,931]= 1/272783

Therefore, the GCF of 340/293,839/931 is 1/272783.

Greatest Common Factor of 340,839

To find the highest common factor of 340,839, we have to find the factors of both numbers and list the highest common factor.

The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

The factors of 839 are 1, 839

The HCF of 340,839 is 1.

Lets's calculate GCF of 340,839

Greatest Common Factor (GCF) of 340,839 By Common Division

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

Greatest Common Factor of 340,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,839 By Matching Biggest Common Factor Method

Now, list down the factors of 340

:

1,2,4,5,10,17,20,34,68,85,170,340

Now, list down the factors of 839

:

1,839

Greatest Common Factor

We found the factors 340,839 . The biggest common factor number is the GCF number.
So the greatest common factor 340,839 is 1.

Lets's calculate LCM of 293,931

Lowest Common Multiple of 293,931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 272783

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272783

Therefore, the GCF of Fractions 340/293,839/931 is 1/272783

Least Common Multiple of 293,931 with GCF Formula

Least Common Multiple of 293,931 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 293,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,931) = 1

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

GCF(293,931) x common factors =1 x 1 = 1

LCM(293,931) = ( 293 × 931 ) / 1

LCM(293,931) = 272783 / 1

LCM(293,931) = 272783


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FAQs on GCF of Fractions of 340/293, 839/931

1. What is the HCF of 340,839?

The HCF of 340,839 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 340/293, 839/931?

Answer: GCF of Numerators as per given numbers 340/293, 839/931 is

GCF of Numerators i.e. for 340,839 is 1

LCM of denominators i.e. for 293,931 is 272783.

Thus, GCF of Fractions is 1/272783.Finally, GCF of Fractions for 340/293, 839/931 is 1/272783.