GCF of 6609/724, 4374/3878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6609/724, 4374/3878 i.e 3/1403836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6609/724, 4374/3878.
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 6609/724,4374/3878?
Given fractions are 6609/724,4374/3878
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 6609/724,4374/3878, numerators are 6609,4374
Denominators are 724,3878
The GCF of 6609,4374 is 3 .
LCM of 724,3878 is 1403836.
The greatest common factor of 6609/724,4374/3878 = [GCF of 6609,4374]/[LCM of 724,3878]= 3/1403836
Therefore, the GCF of 6609/724,4374/3878 is 3/1403836.
To find the highest common factor of 6609,4374, we have to find the factors of both numbers and list the highest common factor.
The factors of 6609 are 1, 3, 2203, 6609
The factors of 4374 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374
The HCF of 6609,4374 is 3.
Lets's calculate GCF of 6609,4374
| 3 | 6609, 4374 |
| 2203, 1458 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6609,4374 By Matching Biggest Common Factor Method
Now, list down the factors of 6609
:1,3,2203,6609
Now, list down the factors of 4374
:1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374
Greatest Common Factor
We found the factors 6609,4374 . The biggest common factor number is the GCF number.
So the greatest common factor 6609,4374 is 3.
Lets's calculate LCM of 724,3878
| 2 | 724, 3878 |
| 362, 1939 |
∴ So the LCM of the given numbers is 2 x 362 x 1939 = 1403836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1403836
Therefore, the GCF of Fractions 6609/724,4374/3878 is 3/1403836
Least Common Multiple of 724,3878 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 724,3878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,3878) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,3878) x common factors =2 x 1 = 2
LCM(724,3878) = ( 724 × 3878 ) / 2
LCM(724,3878) = 2807672 / 2
LCM(724,3878) = 1403836
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FAQs on GCF of Fractions of 6609/724, 4374/3878
1. What is the HCF of 6609,4374?
The HCF of 6609,4374 is 3
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 6609/724, 4374/3878?
Answer: GCF of Numerators as per given numbers 6609/724, 4374/3878 is
GCF of Numerators i.e. for 6609,4374 is 3
LCM of denominators i.e. for 724,3878 is 1403836.
Thus, GCF of Fractions is 3/1403836.Finally, GCF of Fractions for 6609/724, 4374/3878 is 3/1403836.