Use our free GCF of Fractions Calculator tool to compute the GCF of 930/508, 723/167 i.e 3/84836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 930/508, 723/167.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 930/508,723/167
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 930/508,723/167, numerators are 930,723
Denominators are 508,167
The GCF of 930,723 is 3 .
LCM of 508,167 is 84836.
The greatest common factor of 930/508,723/167 = [GCF of 930,723]/[LCM of 508,167]= 3/84836
Therefore, the GCF of 930/508,723/167 is 3/84836.
To find the highest common factor of 930,723, 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 723 are 1, 3, 241, 723
The HCF of 930,723 is 3.
Lets's calculate GCF of 930,723
3 | 930, 723 |
310, 241 |
∴ So the GCF of the given numbers is 3 = 3
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 723
:1,3,241,723
Greatest Common Factor
We found the factors 930,723 . The biggest common factor number is the GCF number.
So the greatest common factor 930,723 is 3.
Lets's calculate LCM of 508,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 84836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/84836
Therefore, the GCF of Fractions 930/508,723/167 is 3/84836
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 508,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,167) x common factors =1 x 1 = 1
LCM(508,167) = ( 508 × 167 ) / 1
LCM(508,167) = 84836 / 1
LCM(508,167) = 84836
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 930,723?
The HCF of 930,723 is 3
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 930/508, 723/167?
Answer: GCF of Numerators as per given numbers 930/508, 723/167 is
GCF of Numerators i.e. for 930,723 is 3
LCM of denominators i.e. for 508,167 is 84836.
Thus, GCF of Fractions is 3/84836.Finally, GCF of Fractions for 930/508, 723/167 is 3/84836.