Use our free GCF of Fractions Calculator tool to compute the GCF of 962/585, 496/751 i.e 2/439335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/585, 496/751.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 962/585,496/751
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 962/585,496/751, numerators are 962,496
Denominators are 585,751
The GCF of 962,496 is 2 .
LCM of 585,751 is 439335.
The greatest common factor of 962/585,496/751 = [GCF of 962,496]/[LCM of 585,751]= 2/439335
Therefore, the GCF of 962/585,496/751 is 2/439335.
To find the highest common factor of 962,496, we have to find the factors of both numbers and list the highest common factor.
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
The HCF of 962,496 is 2.
Lets's calculate GCF of 962,496
2 | 962, 496 |
481, 248 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Now, list down the factors of 496
:1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 962,496 . The biggest common factor number is the GCF number.
So the greatest common factor 962,496 is 2.
Lets's calculate LCM of 585,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 439335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/439335
Therefore, the GCF of Fractions 962/585,496/751 is 2/439335
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 585,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,751) x common factors =1 x 1 = 1
LCM(585,751) = ( 585 × 751 ) / 1
LCM(585,751) = 439335 / 1
LCM(585,751) = 439335
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 962,496?
The HCF of 962,496 is 2
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 962/585, 496/751?
Answer: GCF of Numerators as per given numbers 962/585, 496/751 is
GCF of Numerators i.e. for 962,496 is 2
LCM of denominators i.e. for 585,751 is 439335.
Thus, GCF of Fractions is 2/439335.Finally, GCF of Fractions for 962/585, 496/751 is 2/439335.