Use our free GCF of Fractions Calculator tool to compute the GCF of 62/129, 618/913, 348/509 i.e 2/59948493 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/129, 618/913, 348/509.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/129,618/913,348/509
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 62/129,618/913,348/509, numerators are 62,618,348
Denominators are 129,913,509
The GCF of 62,618,348 is 2 .
LCM of 129,913,509 is 59948493.
The greatest common factor of 62/129,618/913,348/509 = [GCF of 62,618,348]/[LCM of 129,913,509]= 2/59948493
Therefore, the GCF of 62/129,618/913,348/509 is 2/59948493.
To find the highest common factor of 62,618,348, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The HCF of 62,618,348 is 2.
Lets's calculate GCF of 62,618,348
2 | 62, 618, 348 |
31, 309, 174 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Greatest Common Factor
We found the factors 62,618,348 . The biggest common factor number is the GCF number.
So the greatest common factor 62,618,348 is 2.
Lets's calculate LCM of 129,913,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 59948493
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59948493
Therefore, the GCF of Fractions 62/129,618/913,348/509 is 2/59948493
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 129,913,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,913,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,913,509) x common factors =1 x 1 = 1
LCM(129,913,509) = ( 129 × 913 × 509 ) / 1
LCM(129,913,509) = 59948493 / 1
LCM(129,913,509) = 59948493
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 62,618,348?
The HCF of 62,618,348 is 2
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 62/129, 618/913, 348/509?
Answer: GCF of Numerators as per given numbers 62/129, 618/913, 348/509 is
GCF of Numerators i.e. for 62,618,348 is 2
LCM of denominators i.e. for 129,913,509 is 59948493.
Thus, GCF of Fractions is 2/59948493.Finally, GCF of Fractions for 62/129, 618/913, 348/509 is 2/59948493.