GCF of 985/200, 360/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 985/200, 360/170 i.e 5/3400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 985/200, 360/170.
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 985/200,360/170?
Given fractions are 985/200,360/170
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 985/200,360/170, numerators are 985,360
Denominators are 200,170
The GCF of 985,360 is 5 .
LCM of 200,170 is 3400.
The greatest common factor of 985/200,360/170 = [GCF of 985,360]/[LCM of 200,170]= 5/3400
Therefore, the GCF of 985/200,360/170 is 5/3400.
To find the highest common factor of 985,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 985 are 1, 5, 197, 985
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 985,360 is 5.
Lets's calculate GCF of 985,360
| 5 | 985, 360 |
| 197, 72 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 985,360 By Matching Biggest Common Factor Method
Now, list down the factors of 985
:1,5,197,985
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 985,360 . The biggest common factor number is the GCF number.
So the greatest common factor 985,360 is 5.
Lets's calculate LCM of 200,170
| 2 | 200, 170 |
| 5 | 100, 85 |
| 20, 17 |
∴ So the LCM of the given numbers is 2 x 5 x 20 x 17 = 3400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3400
Therefore, the GCF of Fractions 985/200,360/170 is 5/3400
Least Common Multiple of 200,170 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 200,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,170) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(200,170) x common factors =10 x 1 = 10
LCM(200,170) = ( 200 × 170 ) / 10
LCM(200,170) = 34000 / 10
LCM(200,170) = 3400
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 985/200, 360/170
1. What is the HCF of 985,360?
The HCF of 985,360 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 985/200, 360/170?
Answer: GCF of Numerators as per given numbers 985/200, 360/170 is
GCF of Numerators i.e. for 985,360 is 5
LCM of denominators i.e. for 200,170 is 3400.
Thus, GCF of Fractions is 5/3400.Finally, GCF of Fractions for 985/200, 360/170 is 5/3400.