GCF of 3727/171, 2976/9968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3727/171, 2976/9968 i.e 1/1704528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3727/171, 2976/9968.
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 3727/171,2976/9968?
Given fractions are 3727/171,2976/9968
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 3727/171,2976/9968, numerators are 3727,2976
Denominators are 171,9968
The GCF of 3727,2976 is 1 .
LCM of 171,9968 is 1704528.
The greatest common factor of 3727/171,2976/9968 = [GCF of 3727,2976]/[LCM of 171,9968]= 1/1704528
Therefore, the GCF of 3727/171,2976/9968 is 1/1704528.
To find the highest common factor of 3727,2976, we have to find the factors of both numbers and list the highest common factor.
The factors of 3727 are 1, 3727
The factors of 2976 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976
The HCF of 3727,2976 is 1.
Lets's calculate GCF of 3727,2976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3727,2976 By Matching Biggest Common Factor Method
Now, list down the factors of 3727
:1,3727
Now, list down the factors of 2976
:1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976
Greatest Common Factor
We found the factors 3727,2976 . The biggest common factor number is the GCF number.
So the greatest common factor 3727,2976 is 1.
Lets's calculate LCM of 171,9968
Given numbers has no common factors except 1. So, there LCM is their product i.e 1704528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1704528
Therefore, the GCF of Fractions 3727/171,2976/9968 is 1/1704528
Least Common Multiple of 171,9968 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 171,9968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,9968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,9968) x common factors =1 x 1 = 1
LCM(171,9968) = ( 171 × 9968 ) / 1
LCM(171,9968) = 1704528 / 1
LCM(171,9968) = 1704528
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FAQs on GCF of Fractions of 3727/171, 2976/9968
1. What is the HCF of 3727,2976?
The HCF of 3727,2976 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 3727/171, 2976/9968?
Answer: GCF of Numerators as per given numbers 3727/171, 2976/9968 is
GCF of Numerators i.e. for 3727,2976 is 1
LCM of denominators i.e. for 171,9968 is 1704528.
Thus, GCF of Fractions is 1/1704528.Finally, GCF of Fractions for 3727/171, 2976/9968 is 1/1704528.