How to Find GCF of 6619/144, 1055/1284?

GCF of 6619/144, 1055/1284

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 6619/144, 1055/1284 i.e 1/15408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6619/144, 1055/1284.

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 6619/144,1055/1284?

Given fractions are 6619/144,1055/1284

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 6619/144,1055/1284, numerators are 6619,1055

Denominators are 144,1284

The GCF of 6619,1055 is 1 .

LCM of 144,1284 is 15408.

The greatest common factor of 6619/144,1055/1284 = [GCF of 6619,1055]/[LCM of 144,1284]= 1/15408

Therefore, the GCF of 6619/144,1055/1284 is 1/15408.

Greatest Common Factor of 6619,1055

To find the highest common factor of 6619,1055, we have to find the factors of both numbers and list the highest common factor.

The factors of 6619 are 1, 6619

The factors of 1055 are 1, 5, 211, 1055

The HCF of 6619,1055 is 1.

Lets's calculate GCF of 6619,1055

Greatest Common Factor (GCF) of 6619,1055 By Common Division

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

Greatest Common Factor of 6619,1055 By Matching Biggest Common Factor Method

Now, list down the factors of 6619

1,6619

Now, list down the factors of 1055

1,5,211,1055

Greatest Common Factor

We found the factors 6619,1055 . The biggest common factor number is the GCF number.
So the greatest common factor 6619,1055 is 1.

Lets's calculate LCM of 144,1284

Lowest Common Multiple of 144,1284 using Common Division

2	144, 1284
2	72, 642
3	36, 321
	12, 107

∴ So the LCM of the given numbers is 2 x 2 x 3 x 12 x 107 = 15408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15408

Therefore, the GCF of Fractions 6619/144,1055/1284 is 1/15408

Least Common Multiple of 144,1284 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 144,1284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,1284) = 12

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

GCF(144,1284) x common factors =12 x 1 = 12

LCM(144,1284) = ( 144 × 1284 ) / 12

LCM(144,1284) = 184896 / 12

LCM(144,1284) = 15408

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FAQs on GCF of Fractions of 6619/144, 1055/1284

1. What is the HCF of 6619,1055?

The HCF of 6619,1055 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 6619/144, 1055/1284?

Answer: GCF of Numerators as per given numbers 6619/144, 1055/1284 is

GCF of Numerators i.e. for 6619,1055 is 1

LCM of denominators i.e. for 144,1284 is 15408.

Thus, GCF of Fractions is 1/15408.Finally, GCF of Fractions for 6619/144, 1055/1284 is 1/15408.