Use our free GCF of Fractions Calculator tool to compute the GCF of 61/658, 42/615, 918/619 i.e 1/250490730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/658, 42/615, 918/619.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/658,42/615,918/619
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 61/658,42/615,918/619, numerators are 61,42,918
Denominators are 658,615,619
The GCF of 61,42,918 is 1 .
LCM of 658,615,619 is 250490730.
The greatest common factor of 61/658,42/615,918/619 = [GCF of 61,42,918]/[LCM of 658,615,619]= 1/250490730
Therefore, the GCF of 61/658,42/615,918/619 is 1/250490730.
To find the highest common factor of 61,42,918, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The HCF of 61,42,918 is 1.
Lets's calculate GCF of 61,42,918
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 61
:1,61
Now, list down the factors of 42
:1,2,3,6,7,14,21,42
Now, list down the factors of 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 61,42,918 . The biggest common factor number is the GCF number.
So the greatest common factor 61,42,918 is 1.
Lets's calculate LCM of 658,615,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 250490730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/250490730
Therefore, the GCF of Fractions 61/658,42/615,918/619 is 1/250490730
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 658,615,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,615,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(658,615,619) x common factors =1 x 1 = 1
LCM(658,615,619) = ( 658 × 615 × 619 ) / 1
LCM(658,615,619) = 250490730 / 1
LCM(658,615,619) = 250490730
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 61,42,918?
The HCF of 61,42,918 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 61/658, 42/615, 918/619?
Answer: GCF of Numerators as per given numbers 61/658, 42/615, 918/619 is
GCF of Numerators i.e. for 61,42,918 is 1
LCM of denominators i.e. for 658,615,619 is 250490730.
Thus, GCF of Fractions is 1/250490730.Finally, GCF of Fractions for 61/658, 42/615, 918/619 is 1/250490730.