Use our free GCF of Fractions Calculator tool to compute the GCF of 438/506, 749/615 i.e 1/311190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 438/506, 749/615.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 438/506,749/615
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 438/506,749/615, numerators are 438,749
Denominators are 506,615
The GCF of 438,749 is 1 .
LCM of 506,615 is 311190.
The greatest common factor of 438/506,749/615 = [GCF of 438,749]/[LCM of 506,615]= 1/311190
Therefore, the GCF of 438/506,749/615 is 1/311190.
To find the highest common factor of 438,749, we have to find the factors of both numbers and list the highest common factor.
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The factors of 749 are 1, 7, 107, 749
The HCF of 438,749 is 1.
Lets's calculate GCF of 438,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Now, list down the factors of 749
:1,7,107,749
Greatest Common Factor
We found the factors 438,749 . The biggest common factor number is the GCF number.
So the greatest common factor 438,749 is 1.
Lets's calculate LCM of 506,615
Given numbers has no common factors except 1. So, there LCM is their product i.e 311190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311190
Therefore, the GCF of Fractions 438/506,749/615 is 1/311190
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 506,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,615) x common factors =1 x 1 = 1
LCM(506,615) = ( 506 × 615 ) / 1
LCM(506,615) = 311190 / 1
LCM(506,615) = 311190
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 438,749?
The HCF of 438,749 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 438/506, 749/615?
Answer: GCF of Numerators as per given numbers 438/506, 749/615 is
GCF of Numerators i.e. for 438,749 is 1
LCM of denominators i.e. for 506,615 is 311190.
Thus, GCF of Fractions is 1/311190.Finally, GCF of Fractions for 438/506, 749/615 is 1/311190.