Use our free GCF of Fractions Calculator tool to compute the GCF of 96/869, 559/373, 743/688 i.e 1/223006256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/869, 559/373, 743/688.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/869,559/373,743/688
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 96/869,559/373,743/688, numerators are 96,559,743
Denominators are 869,373,688
The GCF of 96,559,743 is 1 .
LCM of 869,373,688 is 223006256.
The greatest common factor of 96/869,559/373,743/688 = [GCF of 96,559,743]/[LCM of 869,373,688]= 1/223006256
Therefore, the GCF of 96/869,559/373,743/688 is 1/223006256.
To find the highest common factor of 96,559,743, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 559 are 1, 13, 43, 559
The factors of 743 are 1, 743
The HCF of 96,559,743 is 1.
Lets's calculate GCF of 96,559,743
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 559
:1,13,43,559
Now, list down the factors of 743
:1,743
Greatest Common Factor
We found the factors 96,559,743 . The biggest common factor number is the GCF number.
So the greatest common factor 96,559,743 is 1.
Lets's calculate LCM of 869,373,688
Given numbers has no common factors except 1. So, there LCM is their product i.e 223006256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223006256
Therefore, the GCF of Fractions 96/869,559/373,743/688 is 1/223006256
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 869,373,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,373,688) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,373,688) x common factors =1 x 1 = 1
LCM(869,373,688) = ( 869 × 373 × 688 ) / 1
LCM(869,373,688) = 223006256 / 1
LCM(869,373,688) = 223006256
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,559,743?
The HCF of 96,559,743 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 96/869, 559/373, 743/688?
Answer: GCF of Numerators as per given numbers 96/869, 559/373, 743/688 is
GCF of Numerators i.e. for 96,559,743 is 1
LCM of denominators i.e. for 869,373,688 is 223006256.
Thus, GCF of Fractions is 1/223006256.Finally, GCF of Fractions for 96/869, 559/373, 743/688 is 1/223006256.