GCF of 810/175, 822/890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 810/175, 822/890 i.e 6/31150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 810/175, 822/890.
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 810/175,822/890?
Given fractions are 810/175,822/890
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 810/175,822/890, numerators are 810,822
Denominators are 175,890
The GCF of 810,822 is 6 .
LCM of 175,890 is 31150.
The greatest common factor of 810/175,822/890 = [GCF of 810,822]/[LCM of 175,890]= 6/31150
Therefore, the GCF of 810/175,822/890 is 6/31150.
To find the highest common factor of 810,822, we have to find the factors of both numbers and list the highest common factor.
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
The HCF of 810,822 is 6.
Lets's calculate GCF of 810,822
| 2 | 810, 822 |
| 3 | 405, 411 |
| 135, 137 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 810,822 By Matching Biggest Common Factor Method
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 810,822 . The biggest common factor number is the GCF number.
So the greatest common factor 810,822 is 6.
Lets's calculate LCM of 175,890
| 5 | 175, 890 |
| 35, 178 |
∴ So the LCM of the given numbers is 5 x 35 x 178 = 31150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/31150
Therefore, the GCF of Fractions 810/175,822/890 is 6/31150
Least Common Multiple of 175,890 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 175,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,890) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(175,890) x common factors =5 x 1 = 5
LCM(175,890) = ( 175 × 890 ) / 5
LCM(175,890) = 155750 / 5
LCM(175,890) = 31150
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 810/175, 822/890
1. What is the HCF of 810,822?
The HCF of 810,822 is 6
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 810/175, 822/890?
Answer: GCF of Numerators as per given numbers 810/175, 822/890 is
GCF of Numerators i.e. for 810,822 is 6
LCM of denominators i.e. for 175,890 is 31150.
Thus, GCF of Fractions is 6/31150.Finally, GCF of Fractions for 810/175, 822/890 is 6/31150.