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GCF of 614/944, 379/550

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 614/944, 379/550 i.e 1/259600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 614/944, 379/550.

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 614/944,379/550?

Given fractions are 614/944,379/550

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 614/944,379/550, numerators are 614,379

Denominators are 944,550

The GCF of 614,379 is 1 .

LCM of 944,550 is 259600.

The greatest common factor of 614/944,379/550 = [GCF of 614,379]/[LCM of 944,550]= 1/259600

Therefore, the GCF of 614/944,379/550 is 1/259600.

Greatest Common Factor of 614,379

To find the highest common factor of 614,379, we have to find the factors of both numbers and list the highest common factor.

The factors of 614 are 1, 2, 307, 614

The factors of 379 are 1, 379

The HCF of 614,379 is 1.

Lets's calculate GCF of 614,379

Greatest Common Factor (GCF) of 614,379 By Common Division

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

Greatest Common Factor of 614,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,379 By Matching Biggest Common Factor Method

Now, list down the factors of 614

:

1,2,307,614

Now, list down the factors of 379

:

1,379

Greatest Common Factor

We found the factors 614,379 . The biggest common factor number is the GCF number.
So the greatest common factor 614,379 is 1.

Lets's calculate LCM of 944,550

Lowest Common Multiple of 944,550 using Common Division

2 944, 550
472, 275

∴ So the LCM of the given numbers is 2 x 472 x 275 = 259600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/259600

Therefore, the GCF of Fractions 614/944,379/550 is 1/259600

Least Common Multiple of 944,550 with GCF Formula

Least Common Multiple of 944,550 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 944,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,550) = 2

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

GCF(944,550) x common factors =2 x 1 = 2

LCM(944,550) = ( 944 × 550 ) / 2

LCM(944,550) = 519200 / 2

LCM(944,550) = 259600


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FAQs on GCF of Fractions of 614/944, 379/550

1. What is the HCF of 614,379?

The HCF of 614,379 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 614/944, 379/550?

Answer: GCF of Numerators as per given numbers 614/944, 379/550 is

GCF of Numerators i.e. for 614,379 is 1

LCM of denominators i.e. for 944,550 is 259600.

Thus, GCF of Fractions is 1/259600.Finally, GCF of Fractions for 614/944, 379/550 is 1/259600.