Use our free GCF of Fractions Calculator tool to compute the GCF of 4029/492, 4870/8308 i.e 1/1021884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4029/492, 4870/8308.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4029/492,4870/8308
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 4029/492,4870/8308, numerators are 4029,4870
Denominators are 492,8308
The GCF of 4029,4870 is 1 .
LCM of 492,8308 is 1021884.
The greatest common factor of 4029/492,4870/8308 = [GCF of 4029,4870]/[LCM of 492,8308]= 1/1021884
Therefore, the GCF of 4029/492,4870/8308 is 1/1021884.
To find the highest common factor of 4029,4870, we have to find the factors of both numbers and list the highest common factor.
The factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029
The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870
The HCF of 4029,4870 is 1.
Lets's calculate GCF of 4029,4870
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4029
:1,3,17,51,79,237,1343,4029
Now, list down the factors of 4870
:1,2,5,10,487,974,2435,4870
Greatest Common Factor
We found the factors 4029,4870 . The biggest common factor number is the GCF number.
So the greatest common factor 4029,4870 is 1.
Lets's calculate LCM of 492,8308
2 | 492, 8308 |
2 | 246, 4154 |
123, 2077 |
∴ So the LCM of the given numbers is 2 x 2 x 123 x 2077 = 1021884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1021884
Therefore, the GCF of Fractions 4029/492,4870/8308 is 1/1021884
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 492,8308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,8308) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(492,8308) x common factors =4 x 1 = 4
LCM(492,8308) = ( 492 × 8308 ) / 4
LCM(492,8308) = 4087536 / 4
LCM(492,8308) = 1021884
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4029,4870?
The HCF of 4029,4870 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 4029/492, 4870/8308?
Answer: GCF of Numerators as per given numbers 4029/492, 4870/8308 is
GCF of Numerators i.e. for 4029,4870 is 1
LCM of denominators i.e. for 492,8308 is 1021884.
Thus, GCF of Fractions is 1/1021884.Finally, GCF of Fractions for 4029/492, 4870/8308 is 1/1021884.