Use our free GCF of Fractions Calculator tool to compute the GCF of 8994/402, 4288/1859 i.e 2/747318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8994/402, 4288/1859.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8994/402,4288/1859
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 8994/402,4288/1859, numerators are 8994,4288
Denominators are 402,1859
The GCF of 8994,4288 is 2 .
LCM of 402,1859 is 747318.
The greatest common factor of 8994/402,4288/1859 = [GCF of 8994,4288]/[LCM of 402,1859]= 2/747318
Therefore, the GCF of 8994/402,4288/1859 is 2/747318.
To find the highest common factor of 8994,4288, we have to find the factors of both numbers and list the highest common factor.
The factors of 8994 are 1, 2, 3, 6, 1499, 2998, 4497, 8994
The factors of 4288 are 1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288
The HCF of 8994,4288 is 2.
Lets's calculate GCF of 8994,4288
2 | 8994, 4288 |
4497, 2144 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 8994
:1,2,3,6,1499,2998,4497,8994
Now, list down the factors of 4288
:1,2,4,8,16,32,64,67,134,268,536,1072,2144,4288
Greatest Common Factor
We found the factors 8994,4288 . The biggest common factor number is the GCF number.
So the greatest common factor 8994,4288 is 2.
Lets's calculate LCM of 402,1859
Given numbers has no common factors except 1. So, there LCM is their product i.e 747318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/747318
Therefore, the GCF of Fractions 8994/402,4288/1859 is 2/747318
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 402,1859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,1859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(402,1859) x common factors =1 x 1 = 1
LCM(402,1859) = ( 402 × 1859 ) / 1
LCM(402,1859) = 747318 / 1
LCM(402,1859) = 747318
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8994,4288?
The HCF of 8994,4288 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 8994/402, 4288/1859?
Answer: GCF of Numerators as per given numbers 8994/402, 4288/1859 is
GCF of Numerators i.e. for 8994,4288 is 2
LCM of denominators i.e. for 402,1859 is 747318.
Thus, GCF of Fractions is 2/747318.Finally, GCF of Fractions for 8994/402, 4288/1859 is 2/747318.