How to Find GCF of 6669/647, 1105/420?

GCF of 6669/647, 1105/420

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 6669/647, 1105/420 i.e 13/271740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6669/647, 1105/420.

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 6669/647,1105/420?

Given fractions are 6669/647,1105/420

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 6669/647,1105/420, numerators are 6669,1105

Denominators are 647,420

The GCF of 6669,1105 is 13 .

LCM of 647,420 is 271740.

The greatest common factor of 6669/647,1105/420 = [GCF of 6669,1105]/[LCM of 647,420]= 13/271740

Therefore, the GCF of 6669/647,1105/420 is 13/271740.

Greatest Common Factor of 6669,1105

To find the highest common factor of 6669,1105, we have to find the factors of both numbers and list the highest common factor.

The factors of 6669 are 1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223, 6669

The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105

The HCF of 6669,1105 is 13.

Lets's calculate GCF of 6669,1105

Greatest Common Factor (GCF) of 6669,1105 By Common Division

13	6669, 1105
	513, 85

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6669,1105 By Matching Biggest Common Factor Method

Now, list down the factors of 6669

1,3,9,13,19,27,39,57,117,171,247,351,513,741,2223,6669

Now, list down the factors of 1105

1,5,13,17,65,85,221,1105

Greatest Common Factor

We found the factors 6669,1105 . The biggest common factor number is the GCF number.
So the greatest common factor 6669,1105 is 13.

Lets's calculate LCM of 647,420

Lowest Common Multiple of 647,420 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 271740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/271740

Therefore, the GCF of Fractions 6669/647,1105/420 is 13/271740

Least Common Multiple of 647,420 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 647,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,420) = 1

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

GCF(647,420) x common factors =1 x 1 = 1

LCM(647,420) = ( 647 × 420 ) / 1

LCM(647,420) = 271740 / 1

LCM(647,420) = 271740

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FAQs on GCF of Fractions of 6669/647, 1105/420

1. What is the HCF of 6669,1105?

The HCF of 6669,1105 is 13

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 6669/647, 1105/420?

Answer: GCF of Numerators as per given numbers 6669/647, 1105/420 is

GCF of Numerators i.e. for 6669,1105 is 13

LCM of denominators i.e. for 647,420 is 271740.

Thus, GCF of Fractions is 13/271740.Finally, GCF of Fractions for 6669/647, 1105/420 is 13/271740.