GCF of 1589/415, 7240/6340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1589/415, 7240/6340 i.e 1/526220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1589/415, 7240/6340.
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 1589/415,7240/6340?
Given fractions are 1589/415,7240/6340
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 1589/415,7240/6340, numerators are 1589,7240
Denominators are 415,6340
The GCF of 1589,7240 is 1 .
LCM of 415,6340 is 526220.
The greatest common factor of 1589/415,7240/6340 = [GCF of 1589,7240]/[LCM of 415,6340]= 1/526220
Therefore, the GCF of 1589/415,7240/6340 is 1/526220.
To find the highest common factor of 1589,7240, we have to find the factors of both numbers and list the highest common factor.
The factors of 1589 are 1, 7, 227, 1589
The factors of 7240 are 1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240
The HCF of 1589,7240 is 1.
Lets's calculate GCF of 1589,7240
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1589,7240 By Matching Biggest Common Factor Method
Now, list down the factors of 1589
:1,7,227,1589
Now, list down the factors of 7240
:1,2,4,5,8,10,20,40,181,362,724,905,1448,1810,3620,7240
Greatest Common Factor
We found the factors 1589,7240 . The biggest common factor number is the GCF number.
So the greatest common factor 1589,7240 is 1.
Lets's calculate LCM of 415,6340
| 5 | 415, 6340 |
| 83, 1268 |
∴ So the LCM of the given numbers is 5 x 83 x 1268 = 526220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/526220
Therefore, the GCF of Fractions 1589/415,7240/6340 is 1/526220
Least Common Multiple of 415,6340 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 415,6340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,6340) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(415,6340) x common factors =5 x 1 = 5
LCM(415,6340) = ( 415 × 6340 ) / 5
LCM(415,6340) = 2631100 / 5
LCM(415,6340) = 526220
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FAQs on GCF of Fractions of 1589/415, 7240/6340
1. What is the HCF of 1589,7240?
The HCF of 1589,7240 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 1589/415, 7240/6340?
Answer: GCF of Numerators as per given numbers 1589/415, 7240/6340 is
GCF of Numerators i.e. for 1589,7240 is 1
LCM of denominators i.e. for 415,6340 is 526220.
Thus, GCF of Fractions is 1/526220.Finally, GCF of Fractions for 1589/415, 7240/6340 is 1/526220.