GCF of 7452/15, 6372/969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7452/15, 6372/969 i.e 108/4845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7452/15, 6372/969.
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 7452/15,6372/969?
Given fractions are 7452/15,6372/969
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 7452/15,6372/969, numerators are 7452,6372
Denominators are 15,969
The GCF of 7452,6372 is 108 .
LCM of 15,969 is 4845.
The greatest common factor of 7452/15,6372/969 = [GCF of 7452,6372]/[LCM of 15,969]= 108/4845
Therefore, the GCF of 7452/15,6372/969 is 108/4845.
To find the highest common factor of 7452,6372, we have to find the factors of both numbers and list the highest common factor.
The factors of 7452 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 276, 324, 414, 621, 828, 1242, 1863, 2484, 3726, 7452
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 HCF of 7452,6372 is 108.
Lets's calculate GCF of 7452,6372
| 2 | 7452, 6372 |
| 2 | 3726, 3186 |
| 3 | 1863, 1593 |
| 3 | 621, 531 |
| 3 | 207, 177 |
| 69, 59 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 3 = 108
Greatest Common Factor of 7452,6372 By Matching Biggest Common Factor Method
Now, list down the factors of 7452
:1,2,3,4,6,9,12,18,23,27,36,46,54,69,81,92,108,138,162,207,276,324,414,621,828,1242,1863,2484,3726,7452
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
Greatest Common Factor
We found the factors 7452,6372 . The biggest common factor number is the GCF number.
So the greatest common factor 7452,6372 is 108.
Lets's calculate LCM of 15,969
| 3 | 15, 969 |
| 5, 323 |
∴ So the LCM of the given numbers is 3 x 5 x 323 = 4845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 108/4845
Therefore, the GCF of Fractions 7452/15,6372/969 is 108/4845
Least Common Multiple of 15,969 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 15,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,969) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(15,969) x common factors =3 x 1 = 3
LCM(15,969) = ( 15 × 969 ) / 3
LCM(15,969) = 14535 / 3
LCM(15,969) = 4845
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FAQs on GCF of Fractions of 7452/15, 6372/969
1. What is the HCF of 7452,6372?
The HCF of 7452,6372 is 108
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 7452/15, 6372/969?
Answer: GCF of Numerators as per given numbers 7452/15, 6372/969 is
GCF of Numerators i.e. for 7452,6372 is 108
LCM of denominators i.e. for 15,969 is 4845.
Thus, GCF of Fractions is 108/4845.Finally, GCF of Fractions for 7452/15, 6372/969 is 108/4845.