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GCF of 623/67, 809/1014

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 623/67, 809/1014 i.e 1/67938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 623/67, 809/1014.

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 623/67,809/1014?

Given fractions are 623/67,809/1014

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 623/67,809/1014, numerators are 623,809

Denominators are 67,1014

The GCF of 623,809 is 1 .

LCM of 67,1014 is 67938.

The greatest common factor of 623/67,809/1014 = [GCF of 623,809]/[LCM of 67,1014]= 1/67938

Therefore, the GCF of 623/67,809/1014 is 1/67938.

Greatest Common Factor of 623,809

To find the highest common factor of 623,809, we have to find the factors of both numbers and list the highest common factor.

The factors of 623 are 1, 7, 89, 623

The factors of 809 are 1, 809

The HCF of 623,809 is 1.

Lets's calculate GCF of 623,809

Greatest Common Factor (GCF) of 623,809 By Common Division

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

Greatest Common Factor of 623,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,809 By Matching Biggest Common Factor Method

Now, list down the factors of 623

:

1,7,89,623

Now, list down the factors of 809

:

1,809

Greatest Common Factor

We found the factors 623,809 . The biggest common factor number is the GCF number.
So the greatest common factor 623,809 is 1.

Lets's calculate LCM of 67,1014

Lowest Common Multiple of 67,1014 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 67938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67938

Therefore, the GCF of Fractions 623/67,809/1014 is 1/67938

Least Common Multiple of 67,1014 with GCF Formula

Least Common Multiple of 67,1014 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 67,1014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,1014) = 1

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

GCF(67,1014) x common factors =1 x 1 = 1

LCM(67,1014) = ( 67 × 1014 ) / 1

LCM(67,1014) = 67938 / 1

LCM(67,1014) = 67938


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FAQs on GCF of Fractions of 623/67, 809/1014

1. What is the HCF of 623,809?

The HCF of 623,809 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 623/67, 809/1014?

Answer: GCF of Numerators as per given numbers 623/67, 809/1014 is

GCF of Numerators i.e. for 623,809 is 1

LCM of denominators i.e. for 67,1014 is 67938.

Thus, GCF of Fractions is 1/67938.Finally, GCF of Fractions for 623/67, 809/1014 is 1/67938.