GCF of 962/32, 654/18, 530/571
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 962/32, 654/18, 530/571 i.e 2/164448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/32, 654/18, 530/571.
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 962/32,654/18,530/571?
Given fractions are 962/32,654/18,530/571
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 962/32,654/18,530/571, numerators are 962,654,530
Denominators are 32,18,571
The GCF of 962,654,530 is 2 .
LCM of 32,18,571 is 164448.
The greatest common factor of 962/32,654/18,530/571 = [GCF of 962,654,530]/[LCM of 32,18,571]= 2/164448
Therefore, the GCF of 962/32,654/18,530/571 is 2/164448.
To find the highest common factor of 962,654,530, we have to find the factors of both numbers and list the highest common factor.
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530
The HCF of 962,654,530 is 2.
Lets's calculate GCF of 962,654,530
| 2 | 962, 654, 530 |
| 481, 327, 265 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 962,654,530 By Matching Biggest Common Factor Method
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Now, list down the factors of 530
:1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 962,654,530 . The biggest common factor number is the GCF number.
So the greatest common factor 962,654,530 is 2.
Lets's calculate LCM of 32,18,571
| 2 | 32, 18, 571 |
| 16, 9, 571 |
∴ So the LCM of the given numbers is 2 x 16 x 9 x 571 = 164448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/164448
Therefore, the GCF of Fractions 962/32,654/18,530/571 is 2/164448
Least Common Multiple of 32,18,571 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 32,18,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,18,571) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,18,571) x common factors =1 x 2 = 2
LCM(32,18,571) = ( 32 × 18 × 571 ) / 2
LCM(32,18,571) = 328896 / 2
LCM(32,18,571) = 164448
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FAQs on GCF of Fractions of 962/32, 654/18, 530/571
1. What is the HCF of 962,654,530?
The HCF of 962,654,530 is 2
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 962/32, 654/18, 530/571?
Answer: GCF of Numerators as per given numbers 962/32, 654/18, 530/571 is
GCF of Numerators i.e. for 962,654,530 is 2
LCM of denominators i.e. for 32,18,571 is 164448.
Thus, GCF of Fractions is 2/164448.Finally, GCF of Fractions for 962/32, 654/18, 530/571 is 2/164448.