GCF of 6372/519, 2892/456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6372/519, 2892/456 i.e 12/78888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6372/519, 2892/456.
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 6372/519,2892/456?
Given fractions are 6372/519,2892/456
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 6372/519,2892/456, numerators are 6372,2892
Denominators are 519,456
The GCF of 6372,2892 is 12 .
LCM of 519,456 is 78888.
The greatest common factor of 6372/519,2892/456 = [GCF of 6372,2892]/[LCM of 519,456]= 12/78888
Therefore, the GCF of 6372/519,2892/456 is 12/78888.
To find the highest common factor of 6372,2892, we have to find the factors of both numbers and list the highest common factor.
The factors of 6372 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236, 354, 531, 708, 1062, 1593, 2124, 3186, 6372
The factors of 2892 are 1, 2, 3, 4, 6, 12, 241, 482, 723, 964, 1446, 2892
The HCF of 6372,2892 is 12.
Lets's calculate GCF of 6372,2892
| 2 | 6372, 2892 |
| 2 | 3186, 1446 |
| 3 | 1593, 723 |
| 531, 241 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6372,2892 By Matching Biggest Common Factor Method
Now, list down the factors of 6372
:1,2,3,4,6,9,12,18,27,36,54,59,108,118,177,236,354,531,708,1062,1593,2124,3186,6372
Now, list down the factors of 2892
:1,2,3,4,6,12,241,482,723,964,1446,2892
Greatest Common Factor
We found the factors 6372,2892 . The biggest common factor number is the GCF number.
So the greatest common factor 6372,2892 is 12.
Lets's calculate LCM of 519,456
| 3 | 519, 456 |
| 173, 152 |
∴ So the LCM of the given numbers is 3 x 173 x 152 = 78888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/78888
Therefore, the GCF of Fractions 6372/519,2892/456 is 12/78888
Least Common Multiple of 519,456 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 519,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,456) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,456) x common factors =3 x 1 = 3
LCM(519,456) = ( 519 × 456 ) / 3
LCM(519,456) = 236664 / 3
LCM(519,456) = 78888
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6372/519, 2892/456
1. What is the HCF of 6372,2892?
The HCF of 6372,2892 is 12
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 6372/519, 2892/456?
Answer: GCF of Numerators as per given numbers 6372/519, 2892/456 is
GCF of Numerators i.e. for 6372,2892 is 12
LCM of denominators i.e. for 519,456 is 78888.
Thus, GCF of Fractions is 12/78888.Finally, GCF of Fractions for 6372/519, 2892/456 is 12/78888.