GCF of 4281/850, 2370/809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4281/850, 2370/809 i.e 3/687650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4281/850, 2370/809.
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 4281/850,2370/809?
Given fractions are 4281/850,2370/809
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 4281/850,2370/809, numerators are 4281,2370
Denominators are 850,809
The GCF of 4281,2370 is 3 .
LCM of 850,809 is 687650.
The greatest common factor of 4281/850,2370/809 = [GCF of 4281,2370]/[LCM of 850,809]= 3/687650
Therefore, the GCF of 4281/850,2370/809 is 3/687650.
To find the highest common factor of 4281,2370, we have to find the factors of both numbers and list the highest common factor.
The factors of 4281 are 1, 3, 1427, 4281
The factors of 2370 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370
The HCF of 4281,2370 is 3.
Lets's calculate GCF of 4281,2370
| 3 | 4281, 2370 |
| 1427, 790 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4281,2370 By Matching Biggest Common Factor Method
Now, list down the factors of 4281
:1,3,1427,4281
Now, list down the factors of 2370
:1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370
Greatest Common Factor
We found the factors 4281,2370 . The biggest common factor number is the GCF number.
So the greatest common factor 4281,2370 is 3.
Lets's calculate LCM of 850,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 687650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/687650
Therefore, the GCF of Fractions 4281/850,2370/809 is 3/687650
Least Common Multiple of 850,809 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 850,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(850,809) x common factors =1 x 1 = 1
LCM(850,809) = ( 850 × 809 ) / 1
LCM(850,809) = 687650 / 1
LCM(850,809) = 687650
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FAQs on GCF of Fractions of 4281/850, 2370/809
1. What is the HCF of 4281,2370?
The HCF of 4281,2370 is 3
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 4281/850, 2370/809?
Answer: GCF of Numerators as per given numbers 4281/850, 2370/809 is
GCF of Numerators i.e. for 4281,2370 is 3
LCM of denominators i.e. for 850,809 is 687650.
Thus, GCF of Fractions is 3/687650.Finally, GCF of Fractions for 4281/850, 2370/809 is 3/687650.