Use our free GCF of Fractions Calculator tool to compute the GCF of 637/570, 897/166 i.e 13/47310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/570, 897/166.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 637/570,897/166
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 637/570,897/166, numerators are 637,897
Denominators are 570,166
The GCF of 637,897 is 13 .
LCM of 570,166 is 47310.
The greatest common factor of 637/570,897/166 = [GCF of 637,897]/[LCM of 570,166]= 13/47310
Therefore, the GCF of 637/570,897/166 is 13/47310.
To find the highest common factor of 637,897, we have to find the factors of both numbers and list the highest common factor.
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897
The HCF of 637,897 is 13.
Lets's calculate GCF of 637,897
13 | 637, 897 |
49, 69 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 897
:1,3,13,23,39,69,299,897
Greatest Common Factor
We found the factors 637,897 . The biggest common factor number is the GCF number.
So the greatest common factor 637,897 is 13.
Lets's calculate LCM of 570,166
2 | 570, 166 |
285, 83 |
∴ So the LCM of the given numbers is 2 x 285 x 83 = 47310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/47310
Therefore, the GCF of Fractions 637/570,897/166 is 13/47310
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 570,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,166) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(570,166) x common factors =2 x 1 = 2
LCM(570,166) = ( 570 × 166 ) / 2
LCM(570,166) = 94620 / 2
LCM(570,166) = 47310
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 637,897?
The HCF of 637,897 is 13
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 637/570, 897/166?
Answer: GCF of Numerators as per given numbers 637/570, 897/166 is
GCF of Numerators i.e. for 637,897 is 13
LCM of denominators i.e. for 570,166 is 47310.
Thus, GCF of Fractions is 13/47310.Finally, GCF of Fractions for 637/570, 897/166 is 13/47310.