GCF of 963/480, 972/312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 963/480, 972/312 i.e 9/6240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 963/480, 972/312.
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 963/480,972/312?
Given fractions are 963/480,972/312
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 963/480,972/312, numerators are 963,972
Denominators are 480,312
The GCF of 963,972 is 9 .
LCM of 480,312 is 6240.
The greatest common factor of 963/480,972/312 = [GCF of 963,972]/[LCM of 480,312]= 9/6240
Therefore, the GCF of 963/480,972/312 is 9/6240.
To find the highest common factor of 963,972, we have to find the factors of both numbers and list the highest common factor.
The factors of 963 are 1, 3, 9, 107, 321, 963
The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
The HCF of 963,972 is 9.
Lets's calculate GCF of 963,972
| 3 | 963, 972 |
| 3 | 321, 324 |
| 107, 108 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 963,972 By Matching Biggest Common Factor Method
Now, list down the factors of 963
:1,3,9,107,321,963
Now, list down the factors of 972
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 963,972 . The biggest common factor number is the GCF number.
So the greatest common factor 963,972 is 9.
Lets's calculate LCM of 480,312
| 2 | 480, 312 |
| 2 | 240, 156 |
| 2 | 120, 78 |
| 3 | 60, 39 |
| 20, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 20 x 13 = 6240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/6240
Therefore, the GCF of Fractions 963/480,972/312 is 9/6240
Least Common Multiple of 480,312 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 480,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,312) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(480,312) x common factors =24 x 1 = 24
LCM(480,312) = ( 480 × 312 ) / 24
LCM(480,312) = 149760 / 24
LCM(480,312) = 6240
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FAQs on GCF of Fractions of 963/480, 972/312
1. What is the HCF of 963,972?
The HCF of 963,972 is 9
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 963/480, 972/312?
Answer: GCF of Numerators as per given numbers 963/480, 972/312 is
GCF of Numerators i.e. for 963,972 is 9
LCM of denominators i.e. for 480,312 is 6240.
Thus, GCF of Fractions is 9/6240.Finally, GCF of Fractions for 963/480, 972/312 is 9/6240.