GCF of 966/12, 564/1020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 966/12, 564/1020 i.e 6/1020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 966/12, 564/1020.
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 966/12,564/1020?
Given fractions are 966/12,564/1020
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 966/12,564/1020, numerators are 966,564
Denominators are 12,1020
The GCF of 966,564 is 6 .
LCM of 12,1020 is 1020.
The greatest common factor of 966/12,564/1020 = [GCF of 966,564]/[LCM of 12,1020]= 6/1020
Therefore, the GCF of 966/12,564/1020 is 6/1020.
To find the highest common factor of 966,564, we have to find the factors of both numbers and list the highest common factor.
The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The HCF of 966,564 is 6.
Lets's calculate GCF of 966,564
| 2 | 966, 564 |
| 3 | 483, 282 |
| 161, 94 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 966,564 By Matching Biggest Common Factor Method
Now, list down the factors of 966
:1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 966,564 . The biggest common factor number is the GCF number.
So the greatest common factor 966,564 is 6.
Lets's calculate LCM of 12,1020
| 2 | 12, 1020 |
| 2 | 6, 510 |
| 3 | 3, 255 |
| 1, 85 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 85 = 1020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1020
Therefore, the GCF of Fractions 966/12,564/1020 is 6/1020
Least Common Multiple of 12,1020 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 12,1020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,1020) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(12,1020) x common factors =12 x 1 = 12
LCM(12,1020) = ( 12 × 1020 ) / 12
LCM(12,1020) = 12240 / 12
LCM(12,1020) = 1020
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FAQs on GCF of Fractions of 966/12, 564/1020
1. What is the HCF of 966,564?
The HCF of 966,564 is 6
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 966/12, 564/1020?
Answer: GCF of Numerators as per given numbers 966/12, 564/1020 is
GCF of Numerators i.e. for 966,564 is 6
LCM of denominators i.e. for 12,1020 is 1020.
Thus, GCF of Fractions is 6/1020.Finally, GCF of Fractions for 966/12, 564/1020 is 6/1020.