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GCF of 639/34, 227/4562

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 639/34, 227/4562 i.e 1/77554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 639/34, 227/4562.

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 639/34,227/4562?

Given fractions are 639/34,227/4562

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 639/34,227/4562, numerators are 639,227

Denominators are 34,4562

The GCF of 639,227 is 1 .

LCM of 34,4562 is 77554.

The greatest common factor of 639/34,227/4562 = [GCF of 639,227]/[LCM of 34,4562]= 1/77554

Therefore, the GCF of 639/34,227/4562 is 1/77554.

Greatest Common Factor of 639,227

To find the highest common factor of 639,227, we have to find the factors of both numbers and list the highest common factor.

The factors of 639 are 1, 3, 9, 71, 213, 639

The factors of 227 are 1, 227

The HCF of 639,227 is 1.

Lets's calculate GCF of 639,227

Greatest Common Factor (GCF) of 639,227 By Common Division

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

Greatest Common Factor of 639,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,227 By Matching Biggest Common Factor Method

Now, list down the factors of 639

:

1,3,9,71,213,639

Now, list down the factors of 227

:

1,227

Greatest Common Factor

We found the factors 639,227 . The biggest common factor number is the GCF number.
So the greatest common factor 639,227 is 1.

Lets's calculate LCM of 34,4562

Lowest Common Multiple of 34,4562 using Common Division

2 34, 4562
17, 2281

∴ So the LCM of the given numbers is 2 x 17 x 2281 = 77554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77554

Therefore, the GCF of Fractions 639/34,227/4562 is 1/77554

Least Common Multiple of 34,4562 with GCF Formula

Least Common Multiple of 34,4562 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 34,4562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,4562) = 2

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

GCF(34,4562) x common factors =2 x 1 = 2

LCM(34,4562) = ( 34 × 4562 ) / 2

LCM(34,4562) = 155108 / 2

LCM(34,4562) = 77554


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FAQs on GCF of Fractions of 639/34, 227/4562

1. What is the HCF of 639,227?

The HCF of 639,227 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 639/34, 227/4562?

Answer: GCF of Numerators as per given numbers 639/34, 227/4562 is

GCF of Numerators i.e. for 639,227 is 1

LCM of denominators i.e. for 34,4562 is 77554.

Thus, GCF of Fractions is 1/77554.Finally, GCF of Fractions for 639/34, 227/4562 is 1/77554.