Use our free GCF of Fractions Calculator tool to compute the GCF of 2124/862, 2070/957 i.e 18/824934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2124/862, 2070/957.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2124/862,2070/957
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 2124/862,2070/957, numerators are 2124,2070
Denominators are 862,957
The GCF of 2124,2070 is 18 .
LCM of 862,957 is 824934.
The greatest common factor of 2124/862,2070/957 = [GCF of 2124,2070]/[LCM of 862,957]= 18/824934
Therefore, the GCF of 2124/862,2070/957 is 18/824934.
To find the highest common factor of 2124,2070, we have to find the factors of both numbers and list the highest common factor.
The factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124
The factors of 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070
The HCF of 2124,2070 is 18.
Lets's calculate GCF of 2124,2070
2 | 2124, 2070 |
3 | 1062, 1035 |
3 | 354, 345 |
118, 115 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Now, list down the factors of 2124
:1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124
Now, list down the factors of 2070
:1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070
Greatest Common Factor
We found the factors 2124,2070 . The biggest common factor number is the GCF number.
So the greatest common factor 2124,2070 is 18.
Lets's calculate LCM of 862,957
Given numbers has no common factors except 1. So, there LCM is their product i.e 824934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/824934
Therefore, the GCF of Fractions 2124/862,2070/957 is 18/824934
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 862,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,957) x common factors =1 x 1 = 1
LCM(862,957) = ( 862 × 957 ) / 1
LCM(862,957) = 824934 / 1
LCM(862,957) = 824934
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2124,2070?
The HCF of 2124,2070 is 18
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 2124/862, 2070/957?
Answer: GCF of Numerators as per given numbers 2124/862, 2070/957 is
GCF of Numerators i.e. for 2124,2070 is 18
LCM of denominators i.e. for 862,957 is 824934.
Thus, GCF of Fractions is 18/824934.Finally, GCF of Fractions for 2124/862, 2070/957 is 18/824934.