GCF of 44/32, 64/20, 971/331
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 44/32, 64/20, 971/331 i.e 1/52960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/32, 64/20, 971/331.
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 44/32,64/20,971/331?
Given fractions are 44/32,64/20,971/331
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 44/32,64/20,971/331, numerators are 44,64,971
Denominators are 32,20,331
The GCF of 44,64,971 is 1 .
LCM of 32,20,331 is 52960.
The greatest common factor of 44/32,64/20,971/331 = [GCF of 44,64,971]/[LCM of 32,20,331]= 1/52960
Therefore, the GCF of 44/32,64/20,971/331 is 1/52960.
To find the highest common factor of 44,64,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 971 are 1, 971
The HCF of 44,64,971 is 1.
Lets's calculate GCF of 44,64,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 44,64,971 By Matching Biggest Common Factor Method
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 44,64,971 . The biggest common factor number is the GCF number.
So the greatest common factor 44,64,971 is 1.
Lets's calculate LCM of 32,20,331
| 2 | 32, 20, 331 |
| 2 | 16, 10, 331 |
| 8, 5, 331 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 5 x 331 = 52960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52960
Therefore, the GCF of Fractions 44/32,64/20,971/331 is 1/52960
Least Common Multiple of 32,20,331 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 32,20,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,20,331) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(32,20,331) x common factors =1 x 4 = 4
LCM(32,20,331) = ( 32 × 20 × 331 ) / 4
LCM(32,20,331) = 211840 / 4
LCM(32,20,331) = 52960
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FAQs on GCF of Fractions of 44/32, 64/20, 971/331
1. What is the HCF of 44,64,971?
The HCF of 44,64,971 is 1
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 44/32, 64/20, 971/331?
Answer: GCF of Numerators as per given numbers 44/32, 64/20, 971/331 is
GCF of Numerators i.e. for 44,64,971 is 1
LCM of denominators i.e. for 32,20,331 is 52960.
Thus, GCF of Fractions is 1/52960.Finally, GCF of Fractions for 44/32, 64/20, 971/331 is 1/52960.