GCF of 860/109, 560/267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 860/109, 560/267 i.e 20/29103 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/109, 560/267.
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 860/109,560/267?
Given fractions are 860/109,560/267
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 860/109,560/267, numerators are 860,560
Denominators are 109,267
The GCF of 860,560 is 20 .
LCM of 109,267 is 29103.
The greatest common factor of 860/109,560/267 = [GCF of 860,560]/[LCM of 109,267]= 20/29103
Therefore, the GCF of 860/109,560/267 is 20/29103.
To find the highest common factor of 860,560, we have to find the factors of both numbers and list the highest common factor.
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
The HCF of 860,560 is 20.
Lets's calculate GCF of 860,560
| 2 | 860, 560 |
| 2 | 430, 280 |
| 5 | 215, 140 |
| 43, 28 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 860,560 By Matching Biggest Common Factor Method
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Now, list down the factors of 560
:1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 860,560 . The biggest common factor number is the GCF number.
So the greatest common factor 860,560 is 20.
Lets's calculate LCM of 109,267
Given numbers has no common factors except 1. So, there LCM is their product i.e 29103
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/29103
Therefore, the GCF of Fractions 860/109,560/267 is 20/29103
Least Common Multiple of 109,267 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 109,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,267) x common factors =1 x 1 = 1
LCM(109,267) = ( 109 × 267 ) / 1
LCM(109,267) = 29103 / 1
LCM(109,267) = 29103
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 860/109, 560/267
1. What is the HCF of 860,560?
The HCF of 860,560 is 20
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 860/109, 560/267?
Answer: GCF of Numerators as per given numbers 860/109, 560/267 is
GCF of Numerators i.e. for 860,560 is 20
LCM of denominators i.e. for 109,267 is 29103.
Thus, GCF of Fractions is 20/29103.Finally, GCF of Fractions for 860/109, 560/267 is 20/29103.