GCF of 7580/250, 3232/421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7580/250, 3232/421 i.e 4/105250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7580/250, 3232/421.
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 7580/250,3232/421?
Given fractions are 7580/250,3232/421
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 7580/250,3232/421, numerators are 7580,3232
Denominators are 250,421
The GCF of 7580,3232 is 4 .
LCM of 250,421 is 105250.
The greatest common factor of 7580/250,3232/421 = [GCF of 7580,3232]/[LCM of 250,421]= 4/105250
Therefore, the GCF of 7580/250,3232/421 is 4/105250.
To find the highest common factor of 7580,3232, we have to find the factors of both numbers and list the highest common factor.
The factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580
The factors of 3232 are 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232
The HCF of 7580,3232 is 4.
Lets's calculate GCF of 7580,3232
| 2 | 7580, 3232 |
| 2 | 3790, 1616 |
| 1895, 808 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7580,3232 By Matching Biggest Common Factor Method
Now, list down the factors of 7580
:1,2,4,5,10,20,379,758,1516,1895,3790,7580
Now, list down the factors of 3232
:1,2,4,8,16,32,101,202,404,808,1616,3232
Greatest Common Factor
We found the factors 7580,3232 . The biggest common factor number is the GCF number.
So the greatest common factor 7580,3232 is 4.
Lets's calculate LCM of 250,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 105250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/105250
Therefore, the GCF of Fractions 7580/250,3232/421 is 4/105250
Least Common Multiple of 250,421 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 250,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,421) x common factors =1 x 1 = 1
LCM(250,421) = ( 250 × 421 ) / 1
LCM(250,421) = 105250 / 1
LCM(250,421) = 105250
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FAQs on GCF of Fractions of 7580/250, 3232/421
1. What is the HCF of 7580,3232?
The HCF of 7580,3232 is 4
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 7580/250, 3232/421?
Answer: GCF of Numerators as per given numbers 7580/250, 3232/421 is
GCF of Numerators i.e. for 7580,3232 is 4
LCM of denominators i.e. for 250,421 is 105250.
Thus, GCF of Fractions is 4/105250.Finally, GCF of Fractions for 7580/250, 3232/421 is 4/105250.