GCF of 1984/235, 3592/7205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1984/235, 3592/7205 i.e 8/338635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1984/235, 3592/7205.
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 1984/235,3592/7205?
Given fractions are 1984/235,3592/7205
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 1984/235,3592/7205, numerators are 1984,3592
Denominators are 235,7205
The GCF of 1984,3592 is 8 .
LCM of 235,7205 is 338635.
The greatest common factor of 1984/235,3592/7205 = [GCF of 1984,3592]/[LCM of 235,7205]= 8/338635
Therefore, the GCF of 1984/235,3592/7205 is 8/338635.
To find the highest common factor of 1984,3592, we have to find the factors of both numbers and list the highest common factor.
The factors of 1984 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 992, 1984
The factors of 3592 are 1, 2, 4, 8, 449, 898, 1796, 3592
The HCF of 1984,3592 is 8.
Lets's calculate GCF of 1984,3592
| 2 | 1984, 3592 |
| 2 | 992, 1796 |
| 2 | 496, 898 |
| 248, 449 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1984,3592 By Matching Biggest Common Factor Method
Now, list down the factors of 1984
:1,2,4,8,16,31,32,62,64,124,248,496,992,1984
Now, list down the factors of 3592
:1,2,4,8,449,898,1796,3592
Greatest Common Factor
We found the factors 1984,3592 . The biggest common factor number is the GCF number.
So the greatest common factor 1984,3592 is 8.
Lets's calculate LCM of 235,7205
| 5 | 235, 7205 |
| 47, 1441 |
∴ So the LCM of the given numbers is 5 x 47 x 1441 = 338635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/338635
Therefore, the GCF of Fractions 1984/235,3592/7205 is 8/338635
Least Common Multiple of 235,7205 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 235,7205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,7205) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(235,7205) x common factors =5 x 1 = 5
LCM(235,7205) = ( 235 × 7205 ) / 5
LCM(235,7205) = 1693175 / 5
LCM(235,7205) = 338635
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1984/235, 3592/7205
1. What is the HCF of 1984,3592?
The HCF of 1984,3592 is 8
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 1984/235, 3592/7205?
Answer: GCF of Numerators as per given numbers 1984/235, 3592/7205 is
GCF of Numerators i.e. for 1984,3592 is 8
LCM of denominators i.e. for 235,7205 is 338635.
Thus, GCF of Fractions is 8/338635.Finally, GCF of Fractions for 1984/235, 3592/7205 is 8/338635.