GCF of 1480/415, 2860/8375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1480/415, 2860/8375 i.e 20/695125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1480/415, 2860/8375.
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 1480/415,2860/8375?
Given fractions are 1480/415,2860/8375
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 1480/415,2860/8375, numerators are 1480,2860
Denominators are 415,8375
The GCF of 1480,2860 is 20 .
LCM of 415,8375 is 695125.
The greatest common factor of 1480/415,2860/8375 = [GCF of 1480,2860]/[LCM of 415,8375]= 20/695125
Therefore, the GCF of 1480/415,2860/8375 is 20/695125.
To find the highest common factor of 1480,2860, we have to find the factors of both numbers and list the highest common factor.
The factors of 1480 are 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
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 HCF of 1480,2860 is 20.
Lets's calculate GCF of 1480,2860
| 2 | 1480, 2860 |
| 2 | 740, 1430 |
| 5 | 370, 715 |
| 74, 143 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 1480,2860 By Matching Biggest Common Factor Method
Now, list down the factors of 1480
:1,2,4,5,8,10,20,37,40,74,148,185,296,370,740,1480
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
Greatest Common Factor
We found the factors 1480,2860 . The biggest common factor number is the GCF number.
So the greatest common factor 1480,2860 is 20.
Lets's calculate LCM of 415,8375
| 5 | 415, 8375 |
| 83, 1675 |
∴ So the LCM of the given numbers is 5 x 83 x 1675 = 695125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/695125
Therefore, the GCF of Fractions 1480/415,2860/8375 is 20/695125
Least Common Multiple of 415,8375 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 415,8375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,8375) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(415,8375) x common factors =5 x 1 = 5
LCM(415,8375) = ( 415 × 8375 ) / 5
LCM(415,8375) = 3475625 / 5
LCM(415,8375) = 695125
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FAQs on GCF of Fractions of 1480/415, 2860/8375
1. What is the HCF of 1480,2860?
The HCF of 1480,2860 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 1480/415, 2860/8375?
Answer: GCF of Numerators as per given numbers 1480/415, 2860/8375 is
GCF of Numerators i.e. for 1480,2860 is 20
LCM of denominators i.e. for 415,8375 is 695125.
Thus, GCF of Fractions is 20/695125.Finally, GCF of Fractions for 1480/415, 2860/8375 is 20/695125.