GCF of 890/606, 245/684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 890/606, 245/684 i.e 5/69084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/606, 245/684.
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 890/606,245/684?
Given fractions are 890/606,245/684
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 890/606,245/684, numerators are 890,245
Denominators are 606,684
The GCF of 890,245 is 5 .
LCM of 606,684 is 69084.
The greatest common factor of 890/606,245/684 = [GCF of 890,245]/[LCM of 606,684]= 5/69084
Therefore, the GCF of 890/606,245/684 is 5/69084.
To find the highest common factor of 890,245, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 245 are 1, 5, 7, 35, 49, 245
The HCF of 890,245 is 5.
Lets's calculate GCF of 890,245
| 5 | 890, 245 |
| 178, 49 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 890,245 By Matching Biggest Common Factor Method
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 245
:1,5,7,35,49,245
Greatest Common Factor
We found the factors 890,245 . The biggest common factor number is the GCF number.
So the greatest common factor 890,245 is 5.
Lets's calculate LCM of 606,684
| 2 | 606, 684 |
| 3 | 303, 342 |
| 101, 114 |
∴ So the LCM of the given numbers is 2 x 3 x 101 x 114 = 69084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/69084
Therefore, the GCF of Fractions 890/606,245/684 is 5/69084
Least Common Multiple of 606,684 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 606,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,684) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(606,684) x common factors =6 x 1 = 6
LCM(606,684) = ( 606 × 684 ) / 6
LCM(606,684) = 414504 / 6
LCM(606,684) = 69084
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 890/606, 245/684
1. What is the HCF of 890,245?
The HCF of 890,245 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 890/606, 245/684?
Answer: GCF of Numerators as per given numbers 890/606, 245/684 is
GCF of Numerators i.e. for 890,245 is 5
LCM of denominators i.e. for 606,684 is 69084.
Thus, GCF of Fractions is 5/69084.Finally, GCF of Fractions for 890/606, 245/684 is 5/69084.