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GCF of 623/274, 5066/704

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 623/274, 5066/704 i.e 1/96448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 623/274, 5066/704.

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 623/274,5066/704?

Given fractions are 623/274,5066/704

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 623/274,5066/704, numerators are 623,5066

Denominators are 274,704

The GCF of 623,5066 is 1 .

LCM of 274,704 is 96448.

The greatest common factor of 623/274,5066/704 = [GCF of 623,5066]/[LCM of 274,704]= 1/96448

Therefore, the GCF of 623/274,5066/704 is 1/96448.

Greatest Common Factor of 623,5066

To find the highest common factor of 623,5066, 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 5066 are 1, 2, 17, 34, 149, 298, 2533, 5066

The HCF of 623,5066 is 1.

Lets's calculate GCF of 623,5066

Greatest Common Factor (GCF) of 623,5066 By Common Division

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

Greatest Common Factor of 623,5066 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,5066 By Matching Biggest Common Factor Method

Now, list down the factors of 623

:

1,7,89,623

Now, list down the factors of 5066

:

1,2,17,34,149,298,2533,5066

Greatest Common Factor

We found the factors 623,5066 . The biggest common factor number is the GCF number.
So the greatest common factor 623,5066 is 1.

Lets's calculate LCM of 274,704

Lowest Common Multiple of 274,704 using Common Division

2 274, 704
137, 352

∴ So the LCM of the given numbers is 2 x 137 x 352 = 96448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96448

Therefore, the GCF of Fractions 623/274,5066/704 is 1/96448

Least Common Multiple of 274,704 with GCF Formula

Least Common Multiple of 274,704 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 274,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,704) = 2

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

GCF(274,704) x common factors =2 x 1 = 2

LCM(274,704) = ( 274 × 704 ) / 2

LCM(274,704) = 192896 / 2

LCM(274,704) = 96448


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FAQs on GCF of Fractions of 623/274, 5066/704

1. What is the HCF of 623,5066?

The HCF of 623,5066 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 623/274, 5066/704?

Answer: GCF of Numerators as per given numbers 623/274, 5066/704 is

GCF of Numerators i.e. for 623,5066 is 1

LCM of denominators i.e. for 274,704 is 96448.

Thus, GCF of Fractions is 1/96448.Finally, GCF of Fractions for 623/274, 5066/704 is 1/96448.