Use our free GCF of Fractions Calculator tool to compute the GCF of 8385/973, 1015/1070 i.e 5/1041110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8385/973, 1015/1070.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8385/973,1015/1070
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 8385/973,1015/1070, numerators are 8385,1015
Denominators are 973,1070
The GCF of 8385,1015 is 5 .
LCM of 973,1070 is 1041110.
The greatest common factor of 8385/973,1015/1070 = [GCF of 8385,1015]/[LCM of 973,1070]= 5/1041110
Therefore, the GCF of 8385/973,1015/1070 is 5/1041110.
To find the highest common factor of 8385,1015, we have to find the factors of both numbers and list the highest common factor.
The factors of 8385 are 1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795, 8385
The factors of 1015 are 1, 5, 7, 29, 35, 145, 203, 1015
The HCF of 8385,1015 is 5.
Lets's calculate GCF of 8385,1015
5 | 8385, 1015 |
1677, 203 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 8385
:1,3,5,13,15,39,43,65,129,195,215,559,645,1677,2795,8385
Now, list down the factors of 1015
:1,5,7,29,35,145,203,1015
Greatest Common Factor
We found the factors 8385,1015 . The biggest common factor number is the GCF number.
So the greatest common factor 8385,1015 is 5.
Lets's calculate LCM of 973,1070
Given numbers has no common factors except 1. So, there LCM is their product i.e 1041110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1041110
Therefore, the GCF of Fractions 8385/973,1015/1070 is 5/1041110
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 973,1070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,1070) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,1070) x common factors =1 x 1 = 1
LCM(973,1070) = ( 973 × 1070 ) / 1
LCM(973,1070) = 1041110 / 1
LCM(973,1070) = 1041110
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8385,1015?
The HCF of 8385,1015 is 5
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 8385/973, 1015/1070?
Answer: GCF of Numerators as per given numbers 8385/973, 1015/1070 is
GCF of Numerators i.e. for 8385,1015 is 5
LCM of denominators i.e. for 973,1070 is 1041110.
Thus, GCF of Fractions is 5/1041110.Finally, GCF of Fractions for 8385/973, 1015/1070 is 5/1041110.