Use our free GCF of Fractions Calculator tool to compute the GCF of 637/586, 432/869 i.e 1/509234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/586, 432/869.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 637/586,432/869
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 637/586,432/869, numerators are 637,432
Denominators are 586,869
The GCF of 637,432 is 1 .
LCM of 586,869 is 509234.
The greatest common factor of 637/586,432/869 = [GCF of 637,432]/[LCM of 586,869]= 1/509234
Therefore, the GCF of 637/586,432/869 is 1/509234.
To find the highest common factor of 637,432, 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 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 637,432 is 1.
Lets's calculate GCF of 637,432
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 637,432 . The biggest common factor number is the GCF number.
So the greatest common factor 637,432 is 1.
Lets's calculate LCM of 586,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 509234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/509234
Therefore, the GCF of Fractions 637/586,432/869 is 1/509234
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 586,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,869) x common factors =1 x 1 = 1
LCM(586,869) = ( 586 × 869 ) / 1
LCM(586,869) = 509234 / 1
LCM(586,869) = 509234
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 637,432?
The HCF of 637,432 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 637/586, 432/869?
Answer: GCF of Numerators as per given numbers 637/586, 432/869 is
GCF of Numerators i.e. for 637,432 is 1
LCM of denominators i.e. for 586,869 is 509234.
Thus, GCF of Fractions is 1/509234.Finally, GCF of Fractions for 637/586, 432/869 is 1/509234.