Use our free GCF of Fractions Calculator tool to compute the GCF of 530/679, 848/137 i.e 106/93023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 530/679, 848/137.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 530/679,848/137
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 530/679,848/137, numerators are 530,848
Denominators are 679,137
The GCF of 530,848 is 106 .
LCM of 679,137 is 93023.
The greatest common factor of 530/679,848/137 = [GCF of 530,848]/[LCM of 679,137]= 106/93023
Therefore, the GCF of 530/679,848/137 is 106/93023.
To find the highest common factor of 530,848, we have to find the factors of both numbers and list the highest common factor.
The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530
The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
The HCF of 530,848 is 106.
Lets's calculate GCF of 530,848
2 | 530, 848 |
53 | 265, 424 |
5, 8 |
∴ So the GCF of the given numbers is 2 x 53 = 106
Now, list down the factors of 530
:1,2,5,10,53,106,265,530
Now, list down the factors of 848
:1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 530,848 . The biggest common factor number is the GCF number.
So the greatest common factor 530,848 is 106.
Lets's calculate LCM of 679,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 93023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 106/93023
Therefore, the GCF of Fractions 530/679,848/137 is 106/93023
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 679,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,137) x common factors =1 x 1 = 1
LCM(679,137) = ( 679 × 137 ) / 1
LCM(679,137) = 93023 / 1
LCM(679,137) = 93023
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 530,848?
The HCF of 530,848 is 106
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 530/679, 848/137?
Answer: GCF of Numerators as per given numbers 530/679, 848/137 is
GCF of Numerators i.e. for 530,848 is 106
LCM of denominators i.e. for 679,137 is 93023.
Thus, GCF of Fractions is 106/93023.Finally, GCF of Fractions for 530/679, 848/137 is 106/93023.