GCF of 8379/372, 3292/7652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8379/372, 3292/7652 i.e 1/711636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8379/372, 3292/7652.
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 8379/372,3292/7652?
Given fractions are 8379/372,3292/7652
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 8379/372,3292/7652, numerators are 8379,3292
Denominators are 372,7652
The GCF of 8379,3292 is 1 .
LCM of 372,7652 is 711636.
The greatest common factor of 8379/372,3292/7652 = [GCF of 8379,3292]/[LCM of 372,7652]= 1/711636
Therefore, the GCF of 8379/372,3292/7652 is 1/711636.
To find the highest common factor of 8379,3292, we have to find the factors of both numbers and list the highest common factor.
The factors of 8379 are 1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379
The factors of 3292 are 1, 2, 4, 823, 1646, 3292
The HCF of 8379,3292 is 1.
Lets's calculate GCF of 8379,3292
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8379,3292 By Matching Biggest Common Factor Method
Now, list down the factors of 8379
:1,3,7,9,19,21,49,57,63,133,147,171,399,441,931,1197,2793,8379
Now, list down the factors of 3292
:1,2,4,823,1646,3292
Greatest Common Factor
We found the factors 8379,3292 . The biggest common factor number is the GCF number.
So the greatest common factor 8379,3292 is 1.
Lets's calculate LCM of 372,7652
| 2 | 372, 7652 |
| 2 | 186, 3826 |
| 93, 1913 |
∴ So the LCM of the given numbers is 2 x 2 x 93 x 1913 = 711636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/711636
Therefore, the GCF of Fractions 8379/372,3292/7652 is 1/711636
Least Common Multiple of 372,7652 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 372,7652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,7652) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(372,7652) x common factors =4 x 1 = 4
LCM(372,7652) = ( 372 × 7652 ) / 4
LCM(372,7652) = 2846544 / 4
LCM(372,7652) = 711636
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8379/372, 3292/7652
1. What is the HCF of 8379,3292?
The HCF of 8379,3292 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 8379/372, 3292/7652?
Answer: GCF of Numerators as per given numbers 8379/372, 3292/7652 is
GCF of Numerators i.e. for 8379,3292 is 1
LCM of denominators i.e. for 372,7652 is 711636.
Thus, GCF of Fractions is 1/711636.Finally, GCF of Fractions for 8379/372, 3292/7652 is 1/711636.