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GCF of 614/605, 383/657

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 614/605, 383/657 i.e 1/397485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 614/605, 383/657.

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 614/605,383/657?

Given fractions are 614/605,383/657

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 614/605,383/657, numerators are 614,383

Denominators are 605,657

The GCF of 614,383 is 1 .

LCM of 605,657 is 397485.

The greatest common factor of 614/605,383/657 = [GCF of 614,383]/[LCM of 605,657]= 1/397485

Therefore, the GCF of 614/605,383/657 is 1/397485.

Greatest Common Factor of 614,383

To find the highest common factor of 614,383, 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 383 are 1, 383

The HCF of 614,383 is 1.

Lets's calculate GCF of 614,383

Greatest Common Factor (GCF) of 614,383 By Common Division

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

Greatest Common Factor of 614,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,383 By Matching Biggest Common Factor Method

Now, list down the factors of 614

:

1,2,307,614

Now, list down the factors of 383

:

1,383

Greatest Common Factor

We found the factors 614,383 . The biggest common factor number is the GCF number.
So the greatest common factor 614,383 is 1.

Lets's calculate LCM of 605,657

Lowest Common Multiple of 605,657 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 397485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397485

Therefore, the GCF of Fractions 614/605,383/657 is 1/397485

Least Common Multiple of 605,657 with GCF Formula

Least Common Multiple of 605,657 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 605,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,657) = 1

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

GCF(605,657) x common factors =1 x 1 = 1

LCM(605,657) = ( 605 × 657 ) / 1

LCM(605,657) = 397485 / 1

LCM(605,657) = 397485


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FAQs on GCF of Fractions of 614/605, 383/657

1. What is the HCF of 614,383?

The HCF of 614,383 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 614/605, 383/657?

Answer: GCF of Numerators as per given numbers 614/605, 383/657 is

GCF of Numerators i.e. for 614,383 is 1

LCM of denominators i.e. for 605,657 is 397485.

Thus, GCF of Fractions is 1/397485.Finally, GCF of Fractions for 614/605, 383/657 is 1/397485.