GCF of 1570/724, 4371/3236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1570/724, 4371/3236 i.e 1/585716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1570/724, 4371/3236.
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 1570/724,4371/3236?
Given fractions are 1570/724,4371/3236
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 1570/724,4371/3236, numerators are 1570,4371
Denominators are 724,3236
The GCF of 1570,4371 is 1 .
LCM of 724,3236 is 585716.
The greatest common factor of 1570/724,4371/3236 = [GCF of 1570,4371]/[LCM of 724,3236]= 1/585716
Therefore, the GCF of 1570/724,4371/3236 is 1/585716.
To find the highest common factor of 1570,4371, we have to find the factors of both numbers and list the highest common factor.
The factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570
The factors of 4371 are 1, 3, 31, 47, 93, 141, 1457, 4371
The HCF of 1570,4371 is 1.
Lets's calculate GCF of 1570,4371
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1570,4371 By Matching Biggest Common Factor Method
Now, list down the factors of 1570
:1,2,5,10,157,314,785,1570
Now, list down the factors of 4371
:1,3,31,47,93,141,1457,4371
Greatest Common Factor
We found the factors 1570,4371 . The biggest common factor number is the GCF number.
So the greatest common factor 1570,4371 is 1.
Lets's calculate LCM of 724,3236
| 2 | 724, 3236 |
| 2 | 362, 1618 |
| 181, 809 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 809 = 585716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/585716
Therefore, the GCF of Fractions 1570/724,4371/3236 is 1/585716
Least Common Multiple of 724,3236 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 724,3236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,3236) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(724,3236) x common factors =4 x 1 = 4
LCM(724,3236) = ( 724 × 3236 ) / 4
LCM(724,3236) = 2342864 / 4
LCM(724,3236) = 585716
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1570/724, 4371/3236
1. What is the HCF of 1570,4371?
The HCF of 1570,4371 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 1570/724, 4371/3236?
Answer: GCF of Numerators as per given numbers 1570/724, 4371/3236 is
GCF of Numerators i.e. for 1570,4371 is 1
LCM of denominators i.e. for 724,3236 is 585716.
Thus, GCF of Fractions is 1/585716.Finally, GCF of Fractions for 1570/724, 4371/3236 is 1/585716.