Use our free GCF of Fractions Calculator tool to compute the GCF of 20/685, 724/393, 749/142 i.e 1/38227110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/685, 724/393, 749/142.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/685,724/393,749/142
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 20/685,724/393,749/142, numerators are 20,724,749
Denominators are 685,393,142
The GCF of 20,724,749 is 1 .
LCM of 685,393,142 is 38227110.
The greatest common factor of 20/685,724/393,749/142 = [GCF of 20,724,749]/[LCM of 685,393,142]= 1/38227110
Therefore, the GCF of 20/685,724/393,749/142 is 1/38227110.
To find the highest common factor of 20,724,749, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 724 are 1, 2, 4, 181, 362, 724
The factors of 749 are 1, 7, 107, 749
The HCF of 20,724,749 is 1.
Lets's calculate GCF of 20,724,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 724
:1,2,4,181,362,724
Now, list down the factors of 749
:1,7,107,749
Greatest Common Factor
We found the factors 20,724,749 . The biggest common factor number is the GCF number.
So the greatest common factor 20,724,749 is 1.
Lets's calculate LCM of 685,393,142
Given numbers has no common factors except 1. So, there LCM is their product i.e 38227110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38227110
Therefore, the GCF of Fractions 20/685,724/393,749/142 is 1/38227110
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 685,393,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,393,142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,393,142) x common factors =1 x 1 = 1
LCM(685,393,142) = ( 685 × 393 × 142 ) / 1
LCM(685,393,142) = 38227110 / 1
LCM(685,393,142) = 38227110
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,724,749?
The HCF of 20,724,749 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 20/685, 724/393, 749/142?
Answer: GCF of Numerators as per given numbers 20/685, 724/393, 749/142 is
GCF of Numerators i.e. for 20,724,749 is 1
LCM of denominators i.e. for 685,393,142 is 38227110.
Thus, GCF of Fractions is 1/38227110.Finally, GCF of Fractions for 20/685, 724/393, 749/142 is 1/38227110.