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GCF of 647/167, 274/326

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 647/167, 274/326 i.e 1/54442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 647/167, 274/326.

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 647/167,274/326?

Given fractions are 647/167,274/326

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 647/167,274/326, numerators are 647,274

Denominators are 167,326

The GCF of 647,274 is 1 .

LCM of 167,326 is 54442.

The greatest common factor of 647/167,274/326 = [GCF of 647,274]/[LCM of 167,326]= 1/54442

Therefore, the GCF of 647/167,274/326 is 1/54442.

Greatest Common Factor of 647,274

To find the highest common factor of 647,274, we have to find the factors of both numbers and list the highest common factor.

The factors of 647 are 1, 647

The factors of 274 are 1, 2, 137, 274

The HCF of 647,274 is 1.

Lets's calculate GCF of 647,274

Greatest Common Factor (GCF) of 647,274 By Common Division

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

Greatest Common Factor of 647,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,274 By Matching Biggest Common Factor Method

Now, list down the factors of 647

:

1,647

Now, list down the factors of 274

:

1,2,137,274

Greatest Common Factor

We found the factors 647,274 . The biggest common factor number is the GCF number.
So the greatest common factor 647,274 is 1.

Lets's calculate LCM of 167,326

Lowest Common Multiple of 167,326 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 54442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54442

Therefore, the GCF of Fractions 647/167,274/326 is 1/54442

Least Common Multiple of 167,326 with GCF Formula

Least Common Multiple of 167,326 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 167,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,326) = 1

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

GCF(167,326) x common factors =1 x 1 = 1

LCM(167,326) = ( 167 × 326 ) / 1

LCM(167,326) = 54442 / 1

LCM(167,326) = 54442


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FAQs on GCF of Fractions of 647/167, 274/326

1. What is the HCF of 647,274?

The HCF of 647,274 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 647/167, 274/326?

Answer: GCF of Numerators as per given numbers 647/167, 274/326 is

GCF of Numerators i.e. for 647,274 is 1

LCM of denominators i.e. for 167,326 is 54442.

Thus, GCF of Fractions is 1/54442.Finally, GCF of Fractions for 647/167, 274/326 is 1/54442.