GCF of 8485/842, 7420/2310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8485/842, 7420/2310 i.e 5/972510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8485/842, 7420/2310.
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 8485/842,7420/2310?
Given fractions are 8485/842,7420/2310
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 8485/842,7420/2310, numerators are 8485,7420
Denominators are 842,2310
The GCF of 8485,7420 is 5 .
LCM of 842,2310 is 972510.
The greatest common factor of 8485/842,7420/2310 = [GCF of 8485,7420]/[LCM of 842,2310]= 5/972510
Therefore, the GCF of 8485/842,7420/2310 is 5/972510.
To find the highest common factor of 8485,7420, we have to find the factors of both numbers and list the highest common factor.
The factors of 8485 are 1, 5, 1697, 8485
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 8485,7420 is 5.
Lets's calculate GCF of 8485,7420
| 5 | 8485, 7420 |
| 1697, 1484 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8485,7420 By Matching Biggest Common Factor Method
Now, list down the factors of 8485
:1,5,1697,8485
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 8485,7420 . The biggest common factor number is the GCF number.
So the greatest common factor 8485,7420 is 5.
Lets's calculate LCM of 842,2310
| 2 | 842, 2310 |
| 421, 1155 |
∴ So the LCM of the given numbers is 2 x 421 x 1155 = 972510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/972510
Therefore, the GCF of Fractions 8485/842,7420/2310 is 5/972510
Least Common Multiple of 842,2310 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 842,2310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,2310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,2310) x common factors =2 x 1 = 2
LCM(842,2310) = ( 842 × 2310 ) / 2
LCM(842,2310) = 1945020 / 2
LCM(842,2310) = 972510
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FAQs on GCF of Fractions of 8485/842, 7420/2310
1. What is the HCF of 8485,7420?
The HCF of 8485,7420 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 8485/842, 7420/2310?
Answer: GCF of Numerators as per given numbers 8485/842, 7420/2310 is
GCF of Numerators i.e. for 8485,7420 is 5
LCM of denominators i.e. for 842,2310 is 972510.
Thus, GCF of Fractions is 5/972510.Finally, GCF of Fractions for 8485/842, 7420/2310 is 5/972510.