How to Find GCF of 5967/959, 1649/6530?

GCF of 5967/959, 1649/6530

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 5967/959, 1649/6530 i.e 17/6262270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5967/959, 1649/6530.

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 5967/959,1649/6530?

Given fractions are 5967/959,1649/6530

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 5967/959,1649/6530, numerators are 5967,1649

Denominators are 959,6530

The GCF of 5967,1649 is 17 .

LCM of 959,6530 is 6262270.

The greatest common factor of 5967/959,1649/6530 = [GCF of 5967,1649]/[LCM of 959,6530]= 17/6262270

Therefore, the GCF of 5967/959,1649/6530 is 17/6262270.

Greatest Common Factor of 5967,1649

To find the highest common factor of 5967,1649, we have to find the factors of both numbers and list the highest common factor.

The factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967

The factors of 1649 are 1, 17, 97, 1649

The HCF of 5967,1649 is 17.

Lets's calculate GCF of 5967,1649

Greatest Common Factor (GCF) of 5967,1649 By Common Division

17	5967, 1649
	351, 97

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 5967,1649 By Matching Biggest Common Factor Method

Now, list down the factors of 5967

1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967

Now, list down the factors of 1649

1,17,97,1649

Greatest Common Factor

We found the factors 5967,1649 . The biggest common factor number is the GCF number.
So the greatest common factor 5967,1649 is 17.

Lets's calculate LCM of 959,6530

Lowest Common Multiple of 959,6530 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6262270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/6262270

Therefore, the GCF of Fractions 5967/959,1649/6530 is 17/6262270

Least Common Multiple of 959,6530 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 959,6530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,6530) = 1

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

GCF(959,6530) x common factors =1 x 1 = 1

LCM(959,6530) = ( 959 × 6530 ) / 1

LCM(959,6530) = 6262270 / 1

LCM(959,6530) = 6262270

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5967/959, 1649/6530

1. What is the HCF of 5967,1649?

The HCF of 5967,1649 is 17

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 5967/959, 1649/6530?

Answer: GCF of Numerators as per given numbers 5967/959, 1649/6530 is

GCF of Numerators i.e. for 5967,1649 is 17

LCM of denominators i.e. for 959,6530 is 6262270.

Thus, GCF of Fractions is 17/6262270.Finally, GCF of Fractions for 5967/959, 1649/6530 is 17/6262270.