Use our free GCF of Fractions Calculator tool to compute the GCF of 462/749, 711/615 i.e 3/460635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/749, 711/615.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 462/749,711/615
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 462/749,711/615, numerators are 462,711
Denominators are 749,615
The GCF of 462,711 is 3 .
LCM of 749,615 is 460635.
The greatest common factor of 462/749,711/615 = [GCF of 462,711]/[LCM of 749,615]= 3/460635
Therefore, the GCF of 462/749,711/615 is 3/460635.
To find the highest common factor of 462,711, we have to find the factors of both numbers and list the highest common factor.
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The factors of 711 are 1, 3, 9, 79, 237, 711
The HCF of 462,711 is 3.
Lets's calculate GCF of 462,711
3 | 462, 711 |
154, 237 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Now, list down the factors of 711
:1,3,9,79,237,711
Greatest Common Factor
We found the factors 462,711 . The biggest common factor number is the GCF number.
So the greatest common factor 462,711 is 3.
Lets's calculate LCM of 749,615
Given numbers has no common factors except 1. So, there LCM is their product i.e 460635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/460635
Therefore, the GCF of Fractions 462/749,711/615 is 3/460635
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 749,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,615) x common factors =1 x 1 = 1
LCM(749,615) = ( 749 × 615 ) / 1
LCM(749,615) = 460635 / 1
LCM(749,615) = 460635
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 462,711?
The HCF of 462,711 is 3
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 462/749, 711/615?
Answer: GCF of Numerators as per given numbers 462/749, 711/615 is
GCF of Numerators i.e. for 462,711 is 3
LCM of denominators i.e. for 749,615 is 460635.
Thus, GCF of Fractions is 3/460635.Finally, GCF of Fractions for 462/749, 711/615 is 3/460635.