GCF of 724/15, 762/604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 724/15, 762/604 i.e 2/9060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/15, 762/604.
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 724/15,762/604?
Given fractions are 724/15,762/604
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 724/15,762/604, numerators are 724,762
Denominators are 15,604
The GCF of 724,762 is 2 .
LCM of 15,604 is 9060.
The greatest common factor of 724/15,762/604 = [GCF of 724,762]/[LCM of 15,604]= 2/9060
Therefore, the GCF of 724/15,762/604 is 2/9060.
To find the highest common factor of 724,762, 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 762 are 1, 2, 3, 6, 127, 254, 381, 762
The HCF of 724,762 is 2.
Lets's calculate GCF of 724,762
| 2 | 724, 762 |
| 362, 381 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 724,762 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 762
:1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 724,762 . The biggest common factor number is the GCF number.
So the greatest common factor 724,762 is 2.
Lets's calculate LCM of 15,604
Given numbers has no common factors except 1. So, there LCM is their product i.e 9060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9060
Therefore, the GCF of Fractions 724/15,762/604 is 2/9060
Least Common Multiple of 15,604 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 15,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,604) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,604) x common factors =1 x 1 = 1
LCM(15,604) = ( 15 × 604 ) / 1
LCM(15,604) = 9060 / 1
LCM(15,604) = 9060
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 724/15, 762/604
1. What is the HCF of 724,762?
The HCF of 724,762 is 2
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 724/15, 762/604?
Answer: GCF of Numerators as per given numbers 724/15, 762/604 is
GCF of Numerators i.e. for 724,762 is 2
LCM of denominators i.e. for 15,604 is 9060.
Thus, GCF of Fractions is 2/9060.Finally, GCF of Fractions for 724/15, 762/604 is 2/9060.