GCF of 5981/340, 5390/2572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5981/340, 5390/2572 i.e 1/218620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5981/340, 5390/2572.
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 5981/340,5390/2572?
Given fractions are 5981/340,5390/2572
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 5981/340,5390/2572, numerators are 5981,5390
Denominators are 340,2572
The GCF of 5981,5390 is 1 .
LCM of 340,2572 is 218620.
The greatest common factor of 5981/340,5390/2572 = [GCF of 5981,5390]/[LCM of 340,2572]= 1/218620
Therefore, the GCF of 5981/340,5390/2572 is 1/218620.
To find the highest common factor of 5981,5390, we have to find the factors of both numbers and list the highest common factor.
The factors of 5981 are 1, 5981
The factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390
The HCF of 5981,5390 is 1.
Lets's calculate GCF of 5981,5390
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5981,5390 By Matching Biggest Common Factor Method
Now, list down the factors of 5981
:1,5981
Now, list down the factors of 5390
:1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390
Greatest Common Factor
We found the factors 5981,5390 . The biggest common factor number is the GCF number.
So the greatest common factor 5981,5390 is 1.
Lets's calculate LCM of 340,2572
| 2 | 340, 2572 |
| 2 | 170, 1286 |
| 85, 643 |
∴ So the LCM of the given numbers is 2 x 2 x 85 x 643 = 218620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218620
Therefore, the GCF of Fractions 5981/340,5390/2572 is 1/218620
Least Common Multiple of 340,2572 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 340,2572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,2572) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(340,2572) x common factors =4 x 1 = 4
LCM(340,2572) = ( 340 × 2572 ) / 4
LCM(340,2572) = 874480 / 4
LCM(340,2572) = 218620
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FAQs on GCF of Fractions of 5981/340, 5390/2572
1. What is the HCF of 5981,5390?
The HCF of 5981,5390 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 5981/340, 5390/2572?
Answer: GCF of Numerators as per given numbers 5981/340, 5390/2572 is
GCF of Numerators i.e. for 5981,5390 is 1
LCM of denominators i.e. for 340,2572 is 218620.
Thus, GCF of Fractions is 1/218620.Finally, GCF of Fractions for 5981/340, 5390/2572 is 1/218620.