GCF of 845/360, 5670/695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 845/360, 5670/695 i.e 5/50040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/360, 5670/695.
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 845/360,5670/695?
Given fractions are 845/360,5670/695
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 845/360,5670/695, numerators are 845,5670
Denominators are 360,695
The GCF of 845,5670 is 5 .
LCM of 360,695 is 50040.
The greatest common factor of 845/360,5670/695 = [GCF of 845,5670]/[LCM of 360,695]= 5/50040
Therefore, the GCF of 845/360,5670/695 is 5/50040.
To find the highest common factor of 845,5670, we have to find the factors of both numbers and list the highest common factor.
The factors of 845 are 1, 5, 13, 65, 169, 845
The factors of 5670 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 630, 810, 945, 1134, 1890, 2835, 5670
The HCF of 845,5670 is 5.
Lets's calculate GCF of 845,5670
| 5 | 845, 5670 |
| 169, 1134 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 845,5670 By Matching Biggest Common Factor Method
Now, list down the factors of 845
:1,5,13,65,169,845
Now, list down the factors of 5670
:1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670
Greatest Common Factor
We found the factors 845,5670 . The biggest common factor number is the GCF number.
So the greatest common factor 845,5670 is 5.
Lets's calculate LCM of 360,695
| 5 | 360, 695 |
| 72, 139 |
∴ So the LCM of the given numbers is 5 x 72 x 139 = 50040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/50040
Therefore, the GCF of Fractions 845/360,5670/695 is 5/50040
Least Common Multiple of 360,695 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 360,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,695) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(360,695) x common factors =5 x 1 = 5
LCM(360,695) = ( 360 × 695 ) / 5
LCM(360,695) = 250200 / 5
LCM(360,695) = 50040
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 845/360, 5670/695
1. What is the HCF of 845,5670?
The HCF of 845,5670 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 845/360, 5670/695?
Answer: GCF of Numerators as per given numbers 845/360, 5670/695 is
GCF of Numerators i.e. for 845,5670 is 5
LCM of denominators i.e. for 360,695 is 50040.
Thus, GCF of Fractions is 5/50040.Finally, GCF of Fractions for 845/360, 5670/695 is 5/50040.