Use our free GCF of Fractions Calculator tool to compute the GCF of 860/482, 530/341 i.e 10/164362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/482, 530/341.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 860/482,530/341
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 860/482,530/341, numerators are 860,530
Denominators are 482,341
The GCF of 860,530 is 10 .
LCM of 482,341 is 164362.
The greatest common factor of 860/482,530/341 = [GCF of 860,530]/[LCM of 482,341]= 10/164362
Therefore, the GCF of 860/482,530/341 is 10/164362.
To find the highest common factor of 860,530, 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 530 are 1, 2, 5, 10, 53, 106, 265, 530
The HCF of 860,530 is 10.
Lets's calculate GCF of 860,530
2 | 860, 530 |
5 | 430, 265 |
86, 53 |
∴ So the GCF of the given numbers is 2 x 5 = 10
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 530
:1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 860,530 . The biggest common factor number is the GCF number.
So the greatest common factor 860,530 is 10.
Lets's calculate LCM of 482,341
Given numbers has no common factors except 1. So, there LCM is their product i.e 164362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/164362
Therefore, the GCF of Fractions 860/482,530/341 is 10/164362
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 482,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(482,341) x common factors =1 x 1 = 1
LCM(482,341) = ( 482 × 341 ) / 1
LCM(482,341) = 164362 / 1
LCM(482,341) = 164362
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 860,530?
The HCF of 860,530 is 10
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 860/482, 530/341?
Answer: GCF of Numerators as per given numbers 860/482, 530/341 is
GCF of Numerators i.e. for 860,530 is 10
LCM of denominators i.e. for 482,341 is 164362.
Thus, GCF of Fractions is 10/164362.Finally, GCF of Fractions for 860/482, 530/341 is 10/164362.