GCF of 4285/333, 7420/8340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4285/333, 7420/8340 i.e 5/925740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4285/333, 7420/8340.
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 4285/333,7420/8340?
Given fractions are 4285/333,7420/8340
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 4285/333,7420/8340, numerators are 4285,7420
Denominators are 333,8340
The GCF of 4285,7420 is 5 .
LCM of 333,8340 is 925740.
The greatest common factor of 4285/333,7420/8340 = [GCF of 4285,7420]/[LCM of 333,8340]= 5/925740
Therefore, the GCF of 4285/333,7420/8340 is 5/925740.
To find the highest common factor of 4285,7420, we have to find the factors of both numbers and list the highest common factor.
The factors of 4285 are 1, 5, 857, 4285
The factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420
The HCF of 4285,7420 is 5.
Lets's calculate GCF of 4285,7420
| 5 | 4285, 7420 |
| 857, 1484 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4285,7420 By Matching Biggest Common Factor Method
Now, list down the factors of 4285
:1,5,857,4285
Now, list down the factors of 7420
:1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420
Greatest Common Factor
We found the factors 4285,7420 . The biggest common factor number is the GCF number.
So the greatest common factor 4285,7420 is 5.
Lets's calculate LCM of 333,8340
| 3 | 333, 8340 |
| 111, 2780 |
∴ So the LCM of the given numbers is 3 x 111 x 2780 = 925740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/925740
Therefore, the GCF of Fractions 4285/333,7420/8340 is 5/925740
Least Common Multiple of 333,8340 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 333,8340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,8340) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(333,8340) x common factors =3 x 1 = 3
LCM(333,8340) = ( 333 × 8340 ) / 3
LCM(333,8340) = 2777220 / 3
LCM(333,8340) = 925740
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FAQs on GCF of Fractions of 4285/333, 7420/8340
1. What is the HCF of 4285,7420?
The HCF of 4285,7420 is 5
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 4285/333, 7420/8340?
Answer: GCF of Numerators as per given numbers 4285/333, 7420/8340 is
GCF of Numerators i.e. for 4285,7420 is 5
LCM of denominators i.e. for 333,8340 is 925740.
Thus, GCF of Fractions is 5/925740.Finally, GCF of Fractions for 4285/333, 7420/8340 is 5/925740.