Use our free GCF of Fractions Calculator tool to compute the GCF of 786/620, 987/496 i.e 3/2480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 786/620, 987/496.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 786/620,987/496
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 786/620,987/496, numerators are 786,987
Denominators are 620,496
The GCF of 786,987 is 3 .
LCM of 620,496 is 2480.
The greatest common factor of 786/620,987/496 = [GCF of 786,987]/[LCM of 620,496]= 3/2480
Therefore, the GCF of 786/620,987/496 is 3/2480.
To find the highest common factor of 786,987, we have to find the factors of both numbers and list the highest common factor.
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987
The HCF of 786,987 is 3.
Lets's calculate GCF of 786,987
3 | 786, 987 |
262, 329 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Now, list down the factors of 987
:1,3,7,21,47,141,329,987
Greatest Common Factor
We found the factors 786,987 . The biggest common factor number is the GCF number.
So the greatest common factor 786,987 is 3.
Lets's calculate LCM of 620,496
2 | 620, 496 |
2 | 310, 248 |
31 | 155, 124 |
5, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 5 x 4 = 2480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2480
Therefore, the GCF of Fractions 786/620,987/496 is 3/2480
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 620,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,496) = 124
common factors(in case of two or more numbers have common factors) = 1
GCF(620,496) x common factors =124 x 1 = 124
LCM(620,496) = ( 620 × 496 ) / 124
LCM(620,496) = 307520 / 124
LCM(620,496) = 2480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 786,987?
The HCF of 786,987 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 786/620, 987/496?
Answer: GCF of Numerators as per given numbers 786/620, 987/496 is
GCF of Numerators i.e. for 786,987 is 3
LCM of denominators i.e. for 620,496 is 2480.
Thus, GCF of Fractions is 3/2480.Finally, GCF of Fractions for 786/620, 987/496 is 3/2480.