GCF of 3580/293, 3020/1437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3580/293, 3020/1437 i.e 20/421041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3580/293, 3020/1437.
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 3580/293,3020/1437?
Given fractions are 3580/293,3020/1437
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 3580/293,3020/1437, numerators are 3580,3020
Denominators are 293,1437
The GCF of 3580,3020 is 20 .
LCM of 293,1437 is 421041.
The greatest common factor of 3580/293,3020/1437 = [GCF of 3580,3020]/[LCM of 293,1437]= 20/421041
Therefore, the GCF of 3580/293,3020/1437 is 20/421041.
To find the highest common factor of 3580,3020, we have to find the factors of both numbers and list the highest common factor.
The factors of 3580 are 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790, 3580
The factors of 3020 are 1, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510, 3020
The HCF of 3580,3020 is 20.
Lets's calculate GCF of 3580,3020
| 2 | 3580, 3020 |
| 2 | 1790, 1510 |
| 5 | 895, 755 |
| 179, 151 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 3580,3020 By Matching Biggest Common Factor Method
Now, list down the factors of 3580
:1,2,4,5,10,20,179,358,716,895,1790,3580
Now, list down the factors of 3020
:1,2,4,5,10,20,151,302,604,755,1510,3020
Greatest Common Factor
We found the factors 3580,3020 . The biggest common factor number is the GCF number.
So the greatest common factor 3580,3020 is 20.
Lets's calculate LCM of 293,1437
Given numbers has no common factors except 1. So, there LCM is their product i.e 421041
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/421041
Therefore, the GCF of Fractions 3580/293,3020/1437 is 20/421041
Least Common Multiple of 293,1437 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 293,1437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,1437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,1437) x common factors =1 x 1 = 1
LCM(293,1437) = ( 293 × 1437 ) / 1
LCM(293,1437) = 421041 / 1
LCM(293,1437) = 421041
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3580/293, 3020/1437
1. What is the HCF of 3580,3020?
The HCF of 3580,3020 is 20
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 3580/293, 3020/1437?
Answer: GCF of Numerators as per given numbers 3580/293, 3020/1437 is
GCF of Numerators i.e. for 3580,3020 is 20
LCM of denominators i.e. for 293,1437 is 421041.
Thus, GCF of Fractions is 20/421041.Finally, GCF of Fractions for 3580/293, 3020/1437 is 20/421041.