Use our free GCF of Fractions Calculator tool to compute the GCF of 6984/427, 1512/5218 i.e 72/2228086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6984/427, 1512/5218.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6984/427,1512/5218
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 6984/427,1512/5218, numerators are 6984,1512
Denominators are 427,5218
The GCF of 6984,1512 is 72 .
LCM of 427,5218 is 2228086.
The greatest common factor of 6984/427,1512/5218 = [GCF of 6984,1512]/[LCM of 427,5218]= 72/2228086
Therefore, the GCF of 6984/427,1512/5218 is 72/2228086.
To find the highest common factor of 6984,1512, we have to find the factors of both numbers and list the highest common factor.
The factors of 6984 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984
The factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512
The HCF of 6984,1512 is 72.
Lets's calculate GCF of 6984,1512
2 | 6984, 1512 |
2 | 3492, 756 |
2 | 1746, 378 |
3 | 873, 189 |
3 | 291, 63 |
97, 21 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72
Now, list down the factors of 6984
:1,2,3,4,6,8,9,12,18,24,36,72,97,194,291,388,582,776,873,1164,1746,2328,3492,6984
Now, list down the factors of 1512
:1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512
Greatest Common Factor
We found the factors 6984,1512 . The biggest common factor number is the GCF number.
So the greatest common factor 6984,1512 is 72.
Lets's calculate LCM of 427,5218
Given numbers has no common factors except 1. So, there LCM is their product i.e 2228086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/2228086
Therefore, the GCF of Fractions 6984/427,1512/5218 is 72/2228086
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 427,5218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,5218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,5218) x common factors =1 x 1 = 1
LCM(427,5218) = ( 427 × 5218 ) / 1
LCM(427,5218) = 2228086 / 1
LCM(427,5218) = 2228086
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6984,1512?
The HCF of 6984,1512 is 72
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 6984/427, 1512/5218?
Answer: GCF of Numerators as per given numbers 6984/427, 1512/5218 is
GCF of Numerators i.e. for 6984,1512 is 72
LCM of denominators i.e. for 427,5218 is 2228086.
Thus, GCF of Fractions is 72/2228086.Finally, GCF of Fractions for 6984/427, 1512/5218 is 72/2228086.