GCF of 6372/591, 3312/9810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6372/591, 3312/9810 i.e 36/1932570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6372/591, 3312/9810.
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 6372/591,3312/9810?
Given fractions are 6372/591,3312/9810
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 6372/591,3312/9810, numerators are 6372,3312
Denominators are 591,9810
The GCF of 6372,3312 is 36 .
LCM of 591,9810 is 1932570.
The greatest common factor of 6372/591,3312/9810 = [GCF of 6372,3312]/[LCM of 591,9810]= 36/1932570
Therefore, the GCF of 6372/591,3312/9810 is 36/1932570.
To find the highest common factor of 6372,3312, 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 3312 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312
The HCF of 6372,3312 is 36.
Lets's calculate GCF of 6372,3312
| 2 | 6372, 3312 |
| 2 | 3186, 1656 |
| 3 | 1593, 828 |
| 3 | 531, 276 |
| 177, 92 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 6372,3312 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 3312
:1,2,3,4,6,8,9,12,16,18,23,24,36,46,48,69,72,92,138,144,184,207,276,368,414,552,828,1104,1656,3312
Greatest Common Factor
We found the factors 6372,3312 . The biggest common factor number is the GCF number.
So the greatest common factor 6372,3312 is 36.
Lets's calculate LCM of 591,9810
| 3 | 591, 9810 |
| 197, 3270 |
∴ So the LCM of the given numbers is 3 x 197 x 3270 = 1932570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/1932570
Therefore, the GCF of Fractions 6372/591,3312/9810 is 36/1932570
Least Common Multiple of 591,9810 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 591,9810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,9810) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,9810) x common factors =3 x 1 = 3
LCM(591,9810) = ( 591 × 9810 ) / 3
LCM(591,9810) = 5797710 / 3
LCM(591,9810) = 1932570
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6372/591, 3312/9810
1. What is the HCF of 6372,3312?
The HCF of 6372,3312 is 36
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 6372/591, 3312/9810?
Answer: GCF of Numerators as per given numbers 6372/591, 3312/9810 is
GCF of Numerators i.e. for 6372,3312 is 36
LCM of denominators i.e. for 591,9810 is 1932570.
Thus, GCF of Fractions is 36/1932570.Finally, GCF of Fractions for 6372/591, 3312/9810 is 36/1932570.