Use our free GCF of Fractions Calculator tool to compute the GCF of 89/620, 51/2970 i.e 1/184140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/620, 51/2970.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/620,51/2970
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 89/620,51/2970, numerators are 89,51
Denominators are 620,2970
The GCF of 89,51 is 1 .
LCM of 620,2970 is 184140.
The greatest common factor of 89/620,51/2970 = [GCF of 89,51]/[LCM of 620,2970]= 1/184140
Therefore, the GCF of 89/620,51/2970 is 1/184140.
To find the highest common factor of 89,51, we have to find the factors of both numbers and list the highest common factor.
The factors of 89 are 1, 89
The factors of 51 are 1, 3, 17, 51
The HCF of 89,51 is 1.
Lets's calculate GCF of 89,51
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 620,2970
2 | 620, 2970 |
5 | 310, 1485 |
62, 297 |
∴ So the LCM of the given numbers is 2 x 5 x 62 x 297 = 184140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184140
Therefore, the GCF of Fractions 89/620,51/2970 is 1/184140
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 620,2970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,2970) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(620,2970) x common factors =10 x 1 = 10
LCM(620,2970) = ( 620 × 2970 ) / 10
LCM(620,2970) = 1841400 / 10
LCM(620,2970) = 184140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 89,51?
The HCF of 89,51 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 89/620, 51/2970?
Answer: GCF of Numerators as per given numbers 89/620, 51/2970 is
GCF of Numerators i.e. for 89,51 is 1
LCM of denominators i.e. for 620,2970 is 184140.
Thus, GCF of Fractions is 1/184140.Finally, GCF of Fractions for 89/620, 51/2970 is 1/184140.