GCF of 36/31, 664/63, 652/715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/31, 664/63, 652/715 i.e 4/1396395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/31, 664/63, 652/715.
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 36/31,664/63,652/715?
Given fractions are 36/31,664/63,652/715
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 36/31,664/63,652/715, numerators are 36,664,652
Denominators are 31,63,715
The GCF of 36,664,652 is 4 .
LCM of 31,63,715 is 1396395.
The greatest common factor of 36/31,664/63,652/715 = [GCF of 36,664,652]/[LCM of 31,63,715]= 4/1396395
Therefore, the GCF of 36/31,664/63,652/715 is 4/1396395.
To find the highest common factor of 36,664,652, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The factors of 652 are 1, 2, 4, 163, 326, 652
The HCF of 36,664,652 is 4.
Lets's calculate GCF of 36,664,652
| 2 | 36, 664, 652 |
| 2 | 18, 332, 326 |
| 9, 166, 163 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 36,664,652 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Now, list down the factors of 652
:1,2,4,163,326,652
Greatest Common Factor
We found the factors 36,664,652 . The biggest common factor number is the GCF number.
So the greatest common factor 36,664,652 is 4.
Lets's calculate LCM of 31,63,715
Given numbers has no common factors except 1. So, there LCM is their product i.e 1396395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1396395
Therefore, the GCF of Fractions 36/31,664/63,652/715 is 4/1396395
Least Common Multiple of 31,63,715 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 31,63,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,63,715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,63,715) x common factors =1 x 1 = 1
LCM(31,63,715) = ( 31 × 63 × 715 ) / 1
LCM(31,63,715) = 1396395 / 1
LCM(31,63,715) = 1396395
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FAQs on GCF of Fractions of 36/31, 664/63, 652/715
1. What is the HCF of 36,664,652?
The HCF of 36,664,652 is 4
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 36/31, 664/63, 652/715?
Answer: GCF of Numerators as per given numbers 36/31, 664/63, 652/715 is
GCF of Numerators i.e. for 36,664,652 is 4
LCM of denominators i.e. for 31,63,715 is 1396395.
Thus, GCF of Fractions is 4/1396395.Finally, GCF of Fractions for 36/31, 664/63, 652/715 is 4/1396395.