Use our free GCF of Fractions Calculator tool to compute the GCF of 930/534, 830/586 i.e 10/156462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 930/534, 830/586.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 930/534,830/586
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 930/534,830/586, numerators are 930,830
Denominators are 534,586
The GCF of 930,830 is 10 .
LCM of 534,586 is 156462.
The greatest common factor of 930/534,830/586 = [GCF of 930,830]/[LCM of 534,586]= 10/156462
Therefore, the GCF of 930/534,830/586 is 10/156462.
To find the highest common factor of 930,830, we have to find the factors of both numbers and list the highest common factor.
The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The HCF of 930,830 is 10.
Lets's calculate GCF of 930,830
2 | 930, 830 |
5 | 465, 415 |
93, 83 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 930
:1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 930,830 . The biggest common factor number is the GCF number.
So the greatest common factor 930,830 is 10.
Lets's calculate LCM of 534,586
2 | 534, 586 |
267, 293 |
∴ So the LCM of the given numbers is 2 x 267 x 293 = 156462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/156462
Therefore, the GCF of Fractions 930/534,830/586 is 10/156462
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 534,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(534,586) x common factors =2 x 1 = 2
LCM(534,586) = ( 534 × 586 ) / 2
LCM(534,586) = 312924 / 2
LCM(534,586) = 156462
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 930,830?
The HCF of 930,830 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 930/534, 830/586?
Answer: GCF of Numerators as per given numbers 930/534, 830/586 is
GCF of Numerators i.e. for 930,830 is 10
LCM of denominators i.e. for 534,586 is 156462.
Thus, GCF of Fractions is 10/156462.Finally, GCF of Fractions for 930/534, 830/586 is 10/156462.