Use our free GCF of Fractions Calculator tool to compute the GCF of 342/156, 463/769 i.e 1/119964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 342/156, 463/769.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 342/156,463/769
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 342/156,463/769, numerators are 342,463
Denominators are 156,769
The GCF of 342,463 is 1 .
LCM of 156,769 is 119964.
The greatest common factor of 342/156,463/769 = [GCF of 342,463]/[LCM of 156,769]= 1/119964
Therefore, the GCF of 342/156,463/769 is 1/119964.
To find the highest common factor of 342,463, we have to find the factors of both numbers and list the highest common factor.
The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The factors of 463 are 1, 463
The HCF of 342,463 is 1.
Lets's calculate GCF of 342,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Now, list down the factors of 463
:1,463
Greatest Common Factor
We found the factors 342,463 . The biggest common factor number is the GCF number.
So the greatest common factor 342,463 is 1.
Lets's calculate LCM of 156,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 119964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119964
Therefore, the GCF of Fractions 342/156,463/769 is 1/119964
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 156,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(156,769) x common factors =1 x 1 = 1
LCM(156,769) = ( 156 × 769 ) / 1
LCM(156,769) = 119964 / 1
LCM(156,769) = 119964
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 342,463?
The HCF of 342,463 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 342/156, 463/769?
Answer: GCF of Numerators as per given numbers 342/156, 463/769 is
GCF of Numerators i.e. for 342,463 is 1
LCM of denominators i.e. for 156,769 is 119964.
Thus, GCF of Fractions is 1/119964.Finally, GCF of Fractions for 342/156, 463/769 is 1/119964.