GCF of 84/725, 93/522, 237/775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 84/725, 93/522, 237/775 i.e 3/404550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 84/725, 93/522, 237/775.
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 84/725,93/522,237/775?
Given fractions are 84/725,93/522,237/775
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 84/725,93/522,237/775, numerators are 84,93,237
Denominators are 725,522,775
The GCF of 84,93,237 is 3 .
LCM of 725,522,775 is 404550.
The greatest common factor of 84/725,93/522,237/775 = [GCF of 84,93,237]/[LCM of 725,522,775]= 3/404550
Therefore, the GCF of 84/725,93/522,237/775 is 3/404550.
To find the highest common factor of 84,93,237, we have to find the factors of both numbers and list the highest common factor.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 93 are 1, 3, 31, 93
The factors of 237 are 1, 3, 79, 237
The HCF of 84,93,237 is 3.
Lets's calculate GCF of 84,93,237
| 3 | 84, 93, 237 |
| 28, 31, 79 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 84,93,237 By Matching Biggest Common Factor Method
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 93
:1,3,31,93
Now, list down the factors of 237
:1,3,79,237
Greatest Common Factor
We found the factors 84,93,237 . The biggest common factor number is the GCF number.
So the greatest common factor 84,93,237 is 3.
Lets's calculate LCM of 725,522,775
| 5 | 725, 522, 775 |
| 5 | 145, 522, 155 |
| 29 | 29, 522, 31 |
| 1, 18, 31 |
∴ So the LCM of the given numbers is 5 x 5 x 29 x 1 x 18 x 31 = 404550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/404550
Therefore, the GCF of Fractions 84/725,93/522,237/775 is 3/404550
Least Common Multiple of 725,522,775 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 725,522,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,522,775) = 1
common factors(in case of two or more numbers have common factors) = 725
GCF(725,522,775) x common factors =1 x 725 = 725
LCM(725,522,775) = ( 725 × 522 × 775 ) / 725
LCM(725,522,775) = 293298750 / 725
LCM(725,522,775) = 404550
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FAQs on GCF of Fractions of 84/725, 93/522, 237/775
1. What is the HCF of 84,93,237?
The HCF of 84,93,237 is 3
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 84/725, 93/522, 237/775?
Answer: GCF of Numerators as per given numbers 84/725, 93/522, 237/775 is
GCF of Numerators i.e. for 84,93,237 is 3
LCM of denominators i.e. for 725,522,775 is 404550.
Thus, GCF of Fractions is 3/404550.Finally, GCF of Fractions for 84/725, 93/522, 237/775 is 3/404550.