GCF of 724/901, 212/188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 724/901, 212/188 i.e 4/169388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/901, 212/188.
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 724/901,212/188?
Given fractions are 724/901,212/188
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 724/901,212/188, numerators are 724,212
Denominators are 901,188
The GCF of 724,212 is 4 .
LCM of 901,188 is 169388.
The greatest common factor of 724/901,212/188 = [GCF of 724,212]/[LCM of 901,188]= 4/169388
Therefore, the GCF of 724/901,212/188 is 4/169388.
To find the highest common factor of 724,212, we have to find the factors of both numbers and list the highest common factor.
The factors of 724 are 1, 2, 4, 181, 362, 724
The factors of 212 are 1, 2, 4, 53, 106, 212
The HCF of 724,212 is 4.
Lets's calculate GCF of 724,212
| 2 | 724, 212 |
| 2 | 362, 106 |
| 181, 53 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 724,212 By Matching Biggest Common Factor Method
Now, list down the factors of 724
:1,2,4,181,362,724
Now, list down the factors of 212
:1,2,4,53,106,212
Greatest Common Factor
We found the factors 724,212 . The biggest common factor number is the GCF number.
So the greatest common factor 724,212 is 4.
Lets's calculate LCM of 901,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 169388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/169388
Therefore, the GCF of Fractions 724/901,212/188 is 4/169388
Least Common Multiple of 901,188 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 901,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,188) x common factors =1 x 1 = 1
LCM(901,188) = ( 901 × 188 ) / 1
LCM(901,188) = 169388 / 1
LCM(901,188) = 169388
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FAQs on GCF of Fractions of 724/901, 212/188
1. What is the HCF of 724,212?
The HCF of 724,212 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 724/901, 212/188?
Answer: GCF of Numerators as per given numbers 724/901, 212/188 is
GCF of Numerators i.e. for 724,212 is 4
LCM of denominators i.e. for 901,188 is 169388.
Thus, GCF of Fractions is 4/169388.Finally, GCF of Fractions for 724/901, 212/188 is 4/169388.