GCF of 372/21, 960/5100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 372/21, 960/5100 i.e 12/35700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 372/21, 960/5100.
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 372/21,960/5100?
Given fractions are 372/21,960/5100
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 372/21,960/5100, numerators are 372,960
Denominators are 21,5100
The GCF of 372,960 is 12 .
LCM of 21,5100 is 35700.
The greatest common factor of 372/21,960/5100 = [GCF of 372,960]/[LCM of 21,5100]= 12/35700
Therefore, the GCF of 372/21,960/5100 is 12/35700.
To find the highest common factor of 372,960, we have to find the factors of both numbers and list the highest common factor.
The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The HCF of 372,960 is 12.
Lets's calculate GCF of 372,960
| 2 | 372, 960 |
| 2 | 186, 480 |
| 3 | 93, 240 |
| 31, 80 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 372,960 By Matching Biggest Common Factor Method
Now, list down the factors of 372
:1,2,3,4,6,12,31,62,93,124,186,372
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 372,960 . The biggest common factor number is the GCF number.
So the greatest common factor 372,960 is 12.
Lets's calculate LCM of 21,5100
| 3 | 21, 5100 |
| 7, 1700 |
∴ So the LCM of the given numbers is 3 x 7 x 1700 = 35700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/35700
Therefore, the GCF of Fractions 372/21,960/5100 is 12/35700
Least Common Multiple of 21,5100 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 21,5100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,5100) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(21,5100) x common factors =3 x 1 = 3
LCM(21,5100) = ( 21 × 5100 ) / 3
LCM(21,5100) = 107100 / 3
LCM(21,5100) = 35700
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FAQs on GCF of Fractions of 372/21, 960/5100
1. What is the HCF of 372,960?
The HCF of 372,960 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 372/21, 960/5100?
Answer: GCF of Numerators as per given numbers 372/21, 960/5100 is
GCF of Numerators i.e. for 372,960 is 12
LCM of denominators i.e. for 21,5100 is 35700.
Thus, GCF of Fractions is 12/35700.Finally, GCF of Fractions for 372/21, 960/5100 is 12/35700.