How to Find GCF of 6610/942, 9003/1924?

GCF of 6610/942, 9003/1924

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 6610/942, 9003/1924 i.e 1/906204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6610/942, 9003/1924.

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 6610/942,9003/1924?

Given fractions are 6610/942,9003/1924

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 6610/942,9003/1924, numerators are 6610,9003

Denominators are 942,1924

The GCF of 6610,9003 is 1 .

LCM of 942,1924 is 906204.

The greatest common factor of 6610/942,9003/1924 = [GCF of 6610,9003]/[LCM of 942,1924]= 1/906204

Therefore, the GCF of 6610/942,9003/1924 is 1/906204.

Greatest Common Factor of 6610,9003

To find the highest common factor of 6610,9003, we have to find the factors of both numbers and list the highest common factor.

The factors of 6610 are 1, 2, 5, 10, 661, 1322, 3305, 6610

The factors of 9003 are 1, 3, 3001, 9003

The HCF of 6610,9003 is 1.

Lets's calculate GCF of 6610,9003

Greatest Common Factor (GCF) of 6610,9003 By Common Division

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

Greatest Common Factor of 6610,9003 By Matching Biggest Common Factor Method

Now, list down the factors of 6610

1,2,5,10,661,1322,3305,6610

Now, list down the factors of 9003

1,3,3001,9003

Greatest Common Factor

We found the factors 6610,9003 . The biggest common factor number is the GCF number.
So the greatest common factor 6610,9003 is 1.

Lets's calculate LCM of 942,1924

Lowest Common Multiple of 942,1924 using Common Division

2	942, 1924
	471, 962

∴ So the LCM of the given numbers is 2 x 471 x 962 = 906204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/906204

Therefore, the GCF of Fractions 6610/942,9003/1924 is 1/906204

Least Common Multiple of 942,1924 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 942,1924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,1924) = 2

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

GCF(942,1924) x common factors =2 x 1 = 2

LCM(942,1924) = ( 942 × 1924 ) / 2

LCM(942,1924) = 1812408 / 2

LCM(942,1924) = 906204

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FAQs on GCF of Fractions of 6610/942, 9003/1924

1. What is the HCF of 6610,9003?

The HCF of 6610,9003 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 6610/942, 9003/1924?

Answer: GCF of Numerators as per given numbers 6610/942, 9003/1924 is

GCF of Numerators i.e. for 6610,9003 is 1

LCM of denominators i.e. for 942,1924 is 906204.

Thus, GCF of Fractions is 1/906204.Finally, GCF of Fractions for 6610/942, 9003/1924 is 1/906204.