GCF of 2860/408, 4462/1291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2860/408, 4462/1291 i.e 2/526728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2860/408, 4462/1291.
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 2860/408,4462/1291?
Given fractions are 2860/408,4462/1291
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 2860/408,4462/1291, numerators are 2860,4462
Denominators are 408,1291
The GCF of 2860,4462 is 2 .
LCM of 408,1291 is 526728.
The greatest common factor of 2860/408,4462/1291 = [GCF of 2860,4462]/[LCM of 408,1291]= 2/526728
Therefore, the GCF of 2860/408,4462/1291 is 2/526728.
To find the highest common factor of 2860,4462, we have to find the factors of both numbers and list the highest common factor.
The factors of 2860 are 1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860
The factors of 4462 are 1, 2, 23, 46, 97, 194, 2231, 4462
The HCF of 2860,4462 is 2.
Lets's calculate GCF of 2860,4462
| 2 | 2860, 4462 |
| 1430, 2231 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2860,4462 By Matching Biggest Common Factor Method
Now, list down the factors of 2860
:1,2,4,5,10,11,13,20,22,26,44,52,55,65,110,130,143,220,260,286,572,715,1430,2860
Now, list down the factors of 4462
:1,2,23,46,97,194,2231,4462
Greatest Common Factor
We found the factors 2860,4462 . The biggest common factor number is the GCF number.
So the greatest common factor 2860,4462 is 2.
Lets's calculate LCM of 408,1291
Given numbers has no common factors except 1. So, there LCM is their product i.e 526728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/526728
Therefore, the GCF of Fractions 2860/408,4462/1291 is 2/526728
Least Common Multiple of 408,1291 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 408,1291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,1291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(408,1291) x common factors =1 x 1 = 1
LCM(408,1291) = ( 408 × 1291 ) / 1
LCM(408,1291) = 526728 / 1
LCM(408,1291) = 526728
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2860/408, 4462/1291
1. What is the HCF of 2860,4462?
The HCF of 2860,4462 is 2
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 2860/408, 4462/1291?
Answer: GCF of Numerators as per given numbers 2860/408, 4462/1291 is
GCF of Numerators i.e. for 2860,4462 is 2
LCM of denominators i.e. for 408,1291 is 526728.
Thus, GCF of Fractions is 2/526728.Finally, GCF of Fractions for 2860/408, 4462/1291 is 2/526728.