How to Find GCF of 5651/589, 6514/327?

GCF of 5651/589, 6514/327

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 5651/589, 6514/327 i.e 1/192603 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5651/589, 6514/327.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5651/589,6514/327?

Given fractions are 5651/589,6514/327

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 5651/589,6514/327, numerators are 5651,6514

Denominators are 589,327

The GCF of 5651,6514 is 1 .

LCM of 589,327 is 192603.

The greatest common factor of 5651/589,6514/327 = [GCF of 5651,6514]/[LCM of 589,327]= 1/192603

Therefore, the GCF of 5651/589,6514/327 is 1/192603.

Greatest Common Factor of 5651,6514

To find the highest common factor of 5651,6514, we have to find the factors of both numbers and list the highest common factor.

The factors of 5651 are 1, 5651

The factors of 6514 are 1, 2, 3257, 6514

The HCF of 5651,6514 is 1.

Lets's calculate GCF of 5651,6514

Greatest Common Factor (GCF) of 5651,6514 By Common Division

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

Greatest Common Factor of 5651,6514 By Matching Biggest Common Factor Method

Now, list down the factors of 5651

1,5651

Now, list down the factors of 6514

1,2,3257,6514

Greatest Common Factor

We found the factors 5651,6514 . The biggest common factor number is the GCF number.
So the greatest common factor 5651,6514 is 1.

Lets's calculate LCM of 589,327

Lowest Common Multiple of 589,327 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 192603

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192603

Therefore, the GCF of Fractions 5651/589,6514/327 is 1/192603

Least Common Multiple of 589,327 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 589,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,327) = 1

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

GCF(589,327) x common factors =1 x 1 = 1

LCM(589,327) = ( 589 × 327 ) / 1

LCM(589,327) = 192603 / 1

LCM(589,327) = 192603

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FAQs on GCF of Fractions of 5651/589, 6514/327

1. What is the HCF of 5651,6514?

The HCF of 5651,6514 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 5651/589, 6514/327?

Answer: GCF of Numerators as per given numbers 5651/589, 6514/327 is

GCF of Numerators i.e. for 5651,6514 is 1

LCM of denominators i.e. for 589,327 is 192603.

Thus, GCF of Fractions is 1/192603.Finally, GCF of Fractions for 5651/589, 6514/327 is 1/192603.