Use our free GCF of Fractions Calculator tool to compute the GCF of 48/997, 784/659, 632/994 i.e 8/653080862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/997, 784/659, 632/994.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/997,784/659,632/994
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 48/997,784/659,632/994, numerators are 48,784,632
Denominators are 997,659,994
The GCF of 48,784,632 is 8 .
LCM of 997,659,994 is 653080862.
The greatest common factor of 48/997,784/659,632/994 = [GCF of 48,784,632]/[LCM of 997,659,994]= 8/653080862
Therefore, the GCF of 48/997,784/659,632/994 is 8/653080862.
To find the highest common factor of 48,784,632, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632
The HCF of 48,784,632 is 8.
Lets's calculate GCF of 48,784,632
2 | 48, 784, 632 |
2 | 24, 392, 316 |
2 | 12, 196, 158 |
6, 98, 79 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 784
:1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Now, list down the factors of 632
:1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 48,784,632 . The biggest common factor number is the GCF number.
So the greatest common factor 48,784,632 is 8.
Lets's calculate LCM of 997,659,994
Given numbers has no common factors except 1. So, there LCM is their product i.e 653080862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/653080862
Therefore, the GCF of Fractions 48/997,784/659,632/994 is 8/653080862
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 997,659,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,659,994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,659,994) x common factors =1 x 1 = 1
LCM(997,659,994) = ( 997 × 659 × 994 ) / 1
LCM(997,659,994) = 653080862 / 1
LCM(997,659,994) = 653080862
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,784,632?
The HCF of 48,784,632 is 8
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 48/997, 784/659, 632/994?
Answer: GCF of Numerators as per given numbers 48/997, 784/659, 632/994 is
GCF of Numerators i.e. for 48,784,632 is 8
LCM of denominators i.e. for 997,659,994 is 653080862.
Thus, GCF of Fractions is 8/653080862.Finally, GCF of Fractions for 48/997, 784/659, 632/994 is 8/653080862.