GCF of 835/986, 870/696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 835/986, 870/696 i.e 5/11832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/986, 870/696.
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 835/986,870/696?
Given fractions are 835/986,870/696
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 835/986,870/696, numerators are 835,870
Denominators are 986,696
The GCF of 835,870 is 5 .
LCM of 986,696 is 11832.
The greatest common factor of 835/986,870/696 = [GCF of 835,870]/[LCM of 986,696]= 5/11832
Therefore, the GCF of 835/986,870/696 is 5/11832.
To find the highest common factor of 835,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 835 are 1, 5, 167, 835
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 835,870 is 5.
Lets's calculate GCF of 835,870
| 5 | 835, 870 |
| 167, 174 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 835,870 By Matching Biggest Common Factor Method
Now, list down the factors of 835
:1,5,167,835
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 835,870 . The biggest common factor number is the GCF number.
So the greatest common factor 835,870 is 5.
Lets's calculate LCM of 986,696
| 2 | 986, 696 |
| 29 | 493, 348 |
| 17, 12 |
∴ So the LCM of the given numbers is 2 x 29 x 17 x 12 = 11832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/11832
Therefore, the GCF of Fractions 835/986,870/696 is 5/11832
Least Common Multiple of 986,696 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 986,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,696) = 58
common factors(in case of two or more numbers have common factors) = 1
GCF(986,696) x common factors =58 x 1 = 58
LCM(986,696) = ( 986 × 696 ) / 58
LCM(986,696) = 686256 / 58
LCM(986,696) = 11832
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 835/986, 870/696
1. What is the HCF of 835,870?
The HCF of 835,870 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 835/986, 870/696?
Answer: GCF of Numerators as per given numbers 835/986, 870/696 is
GCF of Numerators i.e. for 835,870 is 5
LCM of denominators i.e. for 986,696 is 11832.
Thus, GCF of Fractions is 5/11832.Finally, GCF of Fractions for 835/986, 870/696 is 5/11832.