Use our free GCF of Fractions Calculator tool to compute the GCF of 7340/158, 1078/8533 i.e 2/1348214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7340/158, 1078/8533.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7340/158,1078/8533
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 7340/158,1078/8533, numerators are 7340,1078
Denominators are 158,8533
The GCF of 7340,1078 is 2 .
LCM of 158,8533 is 1348214.
The greatest common factor of 7340/158,1078/8533 = [GCF of 7340,1078]/[LCM of 158,8533]= 2/1348214
Therefore, the GCF of 7340/158,1078/8533 is 2/1348214.
To find the highest common factor of 7340,1078, we have to find the factors of both numbers and list the highest common factor.
The factors of 7340 are 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340
The factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078
The HCF of 7340,1078 is 2.
Lets's calculate GCF of 7340,1078
2 | 7340, 1078 |
3670, 539 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 7340
:1,2,4,5,10,20,367,734,1468,1835,3670,7340
Now, list down the factors of 1078
:1,2,7,11,14,22,49,77,98,154,539,1078
Greatest Common Factor
We found the factors 7340,1078 . The biggest common factor number is the GCF number.
So the greatest common factor 7340,1078 is 2.
Lets's calculate LCM of 158,8533
Given numbers has no common factors except 1. So, there LCM is their product i.e 1348214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1348214
Therefore, the GCF of Fractions 7340/158,1078/8533 is 2/1348214
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 158,8533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,8533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,8533) x common factors =1 x 1 = 1
LCM(158,8533) = ( 158 × 8533 ) / 1
LCM(158,8533) = 1348214 / 1
LCM(158,8533) = 1348214
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7340,1078?
The HCF of 7340,1078 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 7340/158, 1078/8533?
Answer: GCF of Numerators as per given numbers 7340/158, 1078/8533 is
GCF of Numerators i.e. for 7340,1078 is 2
LCM of denominators i.e. for 158,8533 is 1348214.
Thus, GCF of Fractions is 2/1348214.Finally, GCF of Fractions for 7340/158, 1078/8533 is 2/1348214.