GCF of 852/810, 856/295
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 852/810, 856/295 i.e 4/47790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 852/810, 856/295.
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 852/810,856/295?
Given fractions are 852/810,856/295
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 852/810,856/295, numerators are 852,856
Denominators are 810,295
The GCF of 852,856 is 4 .
LCM of 810,295 is 47790.
The greatest common factor of 852/810,856/295 = [GCF of 852,856]/[LCM of 810,295]= 4/47790
Therefore, the GCF of 852/810,856/295 is 4/47790.
To find the highest common factor of 852,856, we have to find the factors of both numbers and list the highest common factor.
The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856
The HCF of 852,856 is 4.
Lets's calculate GCF of 852,856
| 2 | 852, 856 |
| 2 | 426, 428 |
| 213, 214 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 852,856 By Matching Biggest Common Factor Method
Now, list down the factors of 852
:1,2,3,4,6,12,71,142,213,284,426,852
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 852,856 . The biggest common factor number is the GCF number.
So the greatest common factor 852,856 is 4.
Lets's calculate LCM of 810,295
| 5 | 810, 295 |
| 162, 59 |
∴ So the LCM of the given numbers is 5 x 162 x 59 = 47790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/47790
Therefore, the GCF of Fractions 852/810,856/295 is 4/47790
Least Common Multiple of 810,295 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 810,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,295) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(810,295) x common factors =5 x 1 = 5
LCM(810,295) = ( 810 × 295 ) / 5
LCM(810,295) = 238950 / 5
LCM(810,295) = 47790
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 852/810, 856/295
1. What is the HCF of 852,856?
The HCF of 852,856 is 4
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 852/810, 856/295?
Answer: GCF of Numerators as per given numbers 852/810, 856/295 is
GCF of Numerators i.e. for 852,856 is 4
LCM of denominators i.e. for 810,295 is 47790.
Thus, GCF of Fractions is 4/47790.Finally, GCF of Fractions for 852/810, 856/295 is 4/47790.