GCF of 2652/888, 5889/444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2652/888, 5889/444 i.e 39/888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2652/888, 5889/444.
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 2652/888,5889/444?
Given fractions are 2652/888,5889/444
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 2652/888,5889/444, numerators are 2652,5889
Denominators are 888,444
The GCF of 2652,5889 is 39 .
LCM of 888,444 is 888.
The greatest common factor of 2652/888,5889/444 = [GCF of 2652,5889]/[LCM of 888,444]= 39/888
Therefore, the GCF of 2652/888,5889/444 is 39/888.
To find the highest common factor of 2652,5889, we have to find the factors of both numbers and list the highest common factor.
The factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652
The factors of 5889 are 1, 3, 13, 39, 151, 453, 1963, 5889
The HCF of 2652,5889 is 39.
Lets's calculate GCF of 2652,5889
| 3 | 2652, 5889 |
| 13 | 884, 1963 |
| 68, 151 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 2652,5889 By Matching Biggest Common Factor Method
Now, list down the factors of 2652
:1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652
Now, list down the factors of 5889
:1,3,13,39,151,453,1963,5889
Greatest Common Factor
We found the factors 2652,5889 . The biggest common factor number is the GCF number.
So the greatest common factor 2652,5889 is 39.
Lets's calculate LCM of 888,444
| 2 | 888, 444 |
| 2 | 444, 222 |
| 3 | 111, 222 |
| 37 | 37, 74 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 1 x 2 = 888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/888
Therefore, the GCF of Fractions 2652/888,5889/444 is 39/888
Least Common Multiple of 888,444 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 888,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,444) = 444
common factors(in case of two or more numbers have common factors) = 1
GCF(888,444) x common factors =444 x 1 = 444
LCM(888,444) = ( 888 × 444 ) / 444
LCM(888,444) = 394272 / 444
LCM(888,444) = 888
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FAQs on GCF of Fractions of 2652/888, 5889/444
1. What is the HCF of 2652,5889?
The HCF of 2652,5889 is 39
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 2652/888, 5889/444?
Answer: GCF of Numerators as per given numbers 2652/888, 5889/444 is
GCF of Numerators i.e. for 2652,5889 is 39
LCM of denominators i.e. for 888,444 is 888.
Thus, GCF of Fractions is 39/888.Finally, GCF of Fractions for 2652/888, 5889/444 is 39/888.