GCF of 6842/900, 9870/2285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6842/900, 9870/2285 i.e 2/411300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6842/900, 9870/2285.
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 6842/900,9870/2285?
Given fractions are 6842/900,9870/2285
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 6842/900,9870/2285, numerators are 6842,9870
Denominators are 900,2285
The GCF of 6842,9870 is 2 .
LCM of 900,2285 is 411300.
The greatest common factor of 6842/900,9870/2285 = [GCF of 6842,9870]/[LCM of 900,2285]= 2/411300
Therefore, the GCF of 6842/900,9870/2285 is 2/411300.
To find the highest common factor of 6842,9870, we have to find the factors of both numbers and list the highest common factor.
The factors of 6842 are 1, 2, 11, 22, 311, 622, 3421, 6842
The factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870
The HCF of 6842,9870 is 2.
Lets's calculate GCF of 6842,9870
| 2 | 6842, 9870 |
| 3421, 4935 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6842,9870 By Matching Biggest Common Factor Method
Now, list down the factors of 6842
:1,2,11,22,311,622,3421,6842
Now, list down the factors of 9870
:1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870
Greatest Common Factor
We found the factors 6842,9870 . The biggest common factor number is the GCF number.
So the greatest common factor 6842,9870 is 2.
Lets's calculate LCM of 900,2285
| 5 | 900, 2285 |
| 180, 457 |
∴ So the LCM of the given numbers is 5 x 180 x 457 = 411300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/411300
Therefore, the GCF of Fractions 6842/900,9870/2285 is 2/411300
Least Common Multiple of 900,2285 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 900,2285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,2285) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(900,2285) x common factors =5 x 1 = 5
LCM(900,2285) = ( 900 × 2285 ) / 5
LCM(900,2285) = 2056500 / 5
LCM(900,2285) = 411300
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FAQs on GCF of Fractions of 6842/900, 9870/2285
1. What is the HCF of 6842,9870?
The HCF of 6842,9870 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 6842/900, 9870/2285?
Answer: GCF of Numerators as per given numbers 6842/900, 9870/2285 is
GCF of Numerators i.e. for 6842,9870 is 2
LCM of denominators i.e. for 900,2285 is 411300.
Thus, GCF of Fractions is 2/411300.Finally, GCF of Fractions for 6842/900, 9870/2285 is 2/411300.