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GCF of 467/607, 2919/384

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 467/607, 2919/384 i.e 1/233088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/607, 2919/384.

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 467/607,2919/384?

Given fractions are 467/607,2919/384

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 467/607,2919/384, numerators are 467,2919

Denominators are 607,384

The GCF of 467,2919 is 1 .

LCM of 607,384 is 233088.

The greatest common factor of 467/607,2919/384 = [GCF of 467,2919]/[LCM of 607,384]= 1/233088

Therefore, the GCF of 467/607,2919/384 is 1/233088.

Greatest Common Factor of 467,2919

To find the highest common factor of 467,2919, we have to find the factors of both numbers and list the highest common factor.

The factors of 467 are 1, 467

The factors of 2919 are 1, 3, 7, 21, 139, 417, 973, 2919

The HCF of 467,2919 is 1.

Lets's calculate GCF of 467,2919

Greatest Common Factor (GCF) of 467,2919 By Common Division

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

Greatest Common Factor of 467,2919 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,2919 By Matching Biggest Common Factor Method

Now, list down the factors of 467

:

1,467

Now, list down the factors of 2919

:

1,3,7,21,139,417,973,2919

Greatest Common Factor

We found the factors 467,2919 . The biggest common factor number is the GCF number.
So the greatest common factor 467,2919 is 1.


Lets's calculate LCM of 607,384

Lowest Common Multiple of 607,384 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 233088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233088

Therefore, the GCF of Fractions 467/607,2919/384 is 1/233088

Least Common Multiple of 607,384 with GCF Formula

Least Common Multiple of 607,384 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 607,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,384) = 1

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

GCF(607,384) x common factors =1 x 1 = 1

LCM(607,384) = ( 607 × 384 ) / 1

LCM(607,384) = 233088 / 1

LCM(607,384) = 233088


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 467/607, 2919/384

1. What is the HCF of 467,2919?

The HCF of 467,2919 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 467/607, 2919/384?

Answer: GCF of Numerators as per given numbers 467/607, 2919/384 is

GCF of Numerators i.e. for 467,2919 is 1

LCM of denominators i.e. for 607,384 is 233088.

Thus, GCF of Fractions is 1/233088.Finally, GCF of Fractions for 467/607, 2919/384 is 1/233088.