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GCF of 293/50, 214/731

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 293/50, 214/731 i.e 1/36550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 293/50, 214/731.

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 293/50,214/731?

Given fractions are 293/50,214/731

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 293/50,214/731, numerators are 293,214

Denominators are 50,731

The GCF of 293,214 is 1 .

LCM of 50,731 is 36550.

The greatest common factor of 293/50,214/731 = [GCF of 293,214]/[LCM of 50,731]= 1/36550

Therefore, the GCF of 293/50,214/731 is 1/36550.

Greatest Common Factor of 293,214

To find the highest common factor of 293,214, we have to find the factors of both numbers and list the highest common factor.

The factors of 293 are 1, 293

The factors of 214 are 1, 2, 107, 214

The HCF of 293,214 is 1.

Lets's calculate GCF of 293,214

Greatest Common Factor (GCF) of 293,214 By Common Division

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

Greatest Common Factor of 293,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,214 By Matching Biggest Common Factor Method

Now, list down the factors of 293

:

1,293

Now, list down the factors of 214

:

1,2,107,214

Greatest Common Factor

We found the factors 293,214 . The biggest common factor number is the GCF number.
So the greatest common factor 293,214 is 1.

Lets's calculate LCM of 50,731

Lowest Common Multiple of 50,731 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 36550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36550

Therefore, the GCF of Fractions 293/50,214/731 is 1/36550

Least Common Multiple of 50,731 with GCF Formula

Least Common Multiple of 50,731 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 50,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,731) = 1

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

GCF(50,731) x common factors =1 x 1 = 1

LCM(50,731) = ( 50 × 731 ) / 1

LCM(50,731) = 36550 / 1

LCM(50,731) = 36550


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FAQs on GCF of Fractions of 293/50, 214/731

1. What is the HCF of 293,214?

The HCF of 293,214 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 293/50, 214/731?

Answer: GCF of Numerators as per given numbers 293/50, 214/731 is

GCF of Numerators i.e. for 293,214 is 1

LCM of denominators i.e. for 50,731 is 36550.

Thus, GCF of Fractions is 1/36550.Finally, GCF of Fractions for 293/50, 214/731 is 1/36550.