GCF of 3731/708, 9416/1696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3731/708, 9416/1696 i.e 1/300192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3731/708, 9416/1696.
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 3731/708,9416/1696?
Given fractions are 3731/708,9416/1696
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 3731/708,9416/1696, numerators are 3731,9416
Denominators are 708,1696
The GCF of 3731,9416 is 1 .
LCM of 708,1696 is 300192.
The greatest common factor of 3731/708,9416/1696 = [GCF of 3731,9416]/[LCM of 708,1696]= 1/300192
Therefore, the GCF of 3731/708,9416/1696 is 1/300192.
To find the highest common factor of 3731,9416, we have to find the factors of both numbers and list the highest common factor.
The factors of 3731 are 1, 7, 13, 41, 91, 287, 533, 3731
The factors of 9416 are 1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708, 9416
The HCF of 3731,9416 is 1.
Lets's calculate GCF of 3731,9416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3731,9416 By Matching Biggest Common Factor Method
Now, list down the factors of 3731
:1,7,13,41,91,287,533,3731
Now, list down the factors of 9416
:1,2,4,8,11,22,44,88,107,214,428,856,1177,2354,4708,9416
Greatest Common Factor
We found the factors 3731,9416 . The biggest common factor number is the GCF number.
So the greatest common factor 3731,9416 is 1.
Lets's calculate LCM of 708,1696
| 2 | 708, 1696 |
| 2 | 354, 848 |
| 177, 424 |
∴ So the LCM of the given numbers is 2 x 2 x 177 x 424 = 300192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300192
Therefore, the GCF of Fractions 3731/708,9416/1696 is 1/300192
Least Common Multiple of 708,1696 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 708,1696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,1696) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(708,1696) x common factors =4 x 1 = 4
LCM(708,1696) = ( 708 × 1696 ) / 4
LCM(708,1696) = 1200768 / 4
LCM(708,1696) = 300192
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FAQs on GCF of Fractions of 3731/708, 9416/1696
1. What is the HCF of 3731,9416?
The HCF of 3731,9416 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 3731/708, 9416/1696?
Answer: GCF of Numerators as per given numbers 3731/708, 9416/1696 is
GCF of Numerators i.e. for 3731,9416 is 1
LCM of denominators i.e. for 708,1696 is 300192.
Thus, GCF of Fractions is 1/300192.Finally, GCF of Fractions for 3731/708, 9416/1696 is 1/300192.