GCF of 7936/331, 1631/9534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7936/331, 1631/9534 i.e 1/3155754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7936/331, 1631/9534.
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 7936/331,1631/9534?
Given fractions are 7936/331,1631/9534
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 7936/331,1631/9534, numerators are 7936,1631
Denominators are 331,9534
The GCF of 7936,1631 is 1 .
LCM of 331,9534 is 3155754.
The greatest common factor of 7936/331,1631/9534 = [GCF of 7936,1631]/[LCM of 331,9534]= 1/3155754
Therefore, the GCF of 7936/331,1631/9534 is 1/3155754.
To find the highest common factor of 7936,1631, we have to find the factors of both numbers and list the highest common factor.
The factors of 7936 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 992, 1984, 3968, 7936
The factors of 1631 are 1, 7, 233, 1631
The HCF of 7936,1631 is 1.
Lets's calculate GCF of 7936,1631
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7936,1631 By Matching Biggest Common Factor Method
Now, list down the factors of 7936
:1,2,4,8,16,31,32,62,64,124,128,248,256,496,992,1984,3968,7936
Now, list down the factors of 1631
:1,7,233,1631
Greatest Common Factor
We found the factors 7936,1631 . The biggest common factor number is the GCF number.
So the greatest common factor 7936,1631 is 1.
Lets's calculate LCM of 331,9534
Given numbers has no common factors except 1. So, there LCM is their product i.e 3155754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3155754
Therefore, the GCF of Fractions 7936/331,1631/9534 is 1/3155754
Least Common Multiple of 331,9534 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 331,9534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,9534) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,9534) x common factors =1 x 1 = 1
LCM(331,9534) = ( 331 × 9534 ) / 1
LCM(331,9534) = 3155754 / 1
LCM(331,9534) = 3155754
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FAQs on GCF of Fractions of 7936/331, 1631/9534
1. What is the HCF of 7936,1631?
The HCF of 7936,1631 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 7936/331, 1631/9534?
Answer: GCF of Numerators as per given numbers 7936/331, 1631/9534 is
GCF of Numerators i.e. for 7936,1631 is 1
LCM of denominators i.e. for 331,9534 is 3155754.
Thus, GCF of Fractions is 1/3155754.Finally, GCF of Fractions for 7936/331, 1631/9534 is 1/3155754.