Use our free GCF of Fractions Calculator tool to compute the GCF of 5536/250, 7061/8112 i.e 1/1014000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5536/250, 7061/8112.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5536/250,7061/8112
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 5536/250,7061/8112, numerators are 5536,7061
Denominators are 250,8112
The GCF of 5536,7061 is 1 .
LCM of 250,8112 is 1014000.
The greatest common factor of 5536/250,7061/8112 = [GCF of 5536,7061]/[LCM of 250,8112]= 1/1014000
Therefore, the GCF of 5536/250,7061/8112 is 1/1014000.
To find the highest common factor of 5536,7061, we have to find the factors of both numbers and list the highest common factor.
The factors of 5536 are 1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536
The factors of 7061 are 1, 23, 307, 7061
The HCF of 5536,7061 is 1.
Lets's calculate GCF of 5536,7061
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5536
:1,2,4,8,16,32,173,346,692,1384,2768,5536
Now, list down the factors of 7061
:1,23,307,7061
Greatest Common Factor
We found the factors 5536,7061 . The biggest common factor number is the GCF number.
So the greatest common factor 5536,7061 is 1.
Lets's calculate LCM of 250,8112
2 | 250, 8112 |
125, 4056 |
∴ So the LCM of the given numbers is 2 x 125 x 4056 = 1014000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1014000
Therefore, the GCF of Fractions 5536/250,7061/8112 is 1/1014000
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 250,8112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,8112) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(250,8112) x common factors =2 x 1 = 2
LCM(250,8112) = ( 250 × 8112 ) / 2
LCM(250,8112) = 2028000 / 2
LCM(250,8112) = 1014000
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5536,7061?
The HCF of 5536,7061 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 5536/250, 7061/8112?
Answer: GCF of Numerators as per given numbers 5536/250, 7061/8112 is
GCF of Numerators i.e. for 5536,7061 is 1
LCM of denominators i.e. for 250,8112 is 1014000.
Thus, GCF of Fractions is 1/1014000.Finally, GCF of Fractions for 5536/250, 7061/8112 is 1/1014000.