Use our free GCF of Fractions Calculator tool to compute the GCF of 62/679, 31/9132 i.e 31/6200628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/679, 31/9132.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/679,31/9132
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 62/679,31/9132, numerators are 62,31
Denominators are 679,9132
The GCF of 62,31 is 31 .
LCM of 679,9132 is 6200628.
The greatest common factor of 62/679,31/9132 = [GCF of 62,31]/[LCM of 679,9132]= 31/6200628
Therefore, the GCF of 62/679,31/9132 is 31/6200628.
To find the highest common factor of 62,31, 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 31 are 1, 31
The HCF of 62,31 is 31.
Lets's calculate GCF of 62,31
31 | 62, 31 |
2, 1 |
∴ So the GCF of the given numbers is 31 = 31
Lets's calculate LCM of 679,9132
Given numbers has no common factors except 1. So, there LCM is their product i.e 6200628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/6200628
Therefore, the GCF of Fractions 62/679,31/9132 is 31/6200628
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 679,9132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,9132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,9132) x common factors =1 x 1 = 1
LCM(679,9132) = ( 679 × 9132 ) / 1
LCM(679,9132) = 6200628 / 1
LCM(679,9132) = 6200628
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 62,31?
The HCF of 62,31 is 31
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 62/679, 31/9132?
Answer: GCF of Numerators as per given numbers 62/679, 31/9132 is
GCF of Numerators i.e. for 62,31 is 31
LCM of denominators i.e. for 679,9132 is 6200628.
Thus, GCF of Fractions is 31/6200628.Finally, GCF of Fractions for 62/679, 31/9132 is 31/6200628.