Use our free GCF of Fractions Calculator tool to compute the GCF of 370/948, 663/402 i.e 1/63516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/948, 663/402.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 370/948,663/402
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 370/948,663/402, numerators are 370,663
Denominators are 948,402
The GCF of 370,663 is 1 .
LCM of 948,402 is 63516.
The greatest common factor of 370/948,663/402 = [GCF of 370,663]/[LCM of 948,402]= 1/63516
Therefore, the GCF of 370/948,663/402 is 1/63516.
To find the highest common factor of 370,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 370,663 is 1.
Lets's calculate GCF of 370,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 370,663 . The biggest common factor number is the GCF number.
So the greatest common factor 370,663 is 1.
Lets's calculate LCM of 948,402
2 | 948, 402 |
3 | 474, 201 |
158, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 158 x 67 = 63516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63516
Therefore, the GCF of Fractions 370/948,663/402 is 1/63516
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 948,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,402) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(948,402) x common factors =6 x 1 = 6
LCM(948,402) = ( 948 × 402 ) / 6
LCM(948,402) = 381096 / 6
LCM(948,402) = 63516
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 370,663?
The HCF of 370,663 is 1
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 370/948, 663/402?
Answer: GCF of Numerators as per given numbers 370/948, 663/402 is
GCF of Numerators i.e. for 370,663 is 1
LCM of denominators i.e. for 948,402 is 63516.
Thus, GCF of Fractions is 1/63516.Finally, GCF of Fractions for 370/948, 663/402 is 1/63516.