Use our free GCF of Fractions Calculator tool to compute the GCF of 677/235, 432/891 i.e 1/209385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 677/235, 432/891.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 677/235,432/891
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 677/235,432/891, numerators are 677,432
Denominators are 235,891
The GCF of 677,432 is 1 .
LCM of 235,891 is 209385.
The greatest common factor of 677/235,432/891 = [GCF of 677,432]/[LCM of 235,891]= 1/209385
Therefore, the GCF of 677/235,432/891 is 1/209385.
To find the highest common factor of 677,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 677 are 1, 677
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 677,432 is 1.
Lets's calculate GCF of 677,432
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 677
:1,677
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 677,432 . The biggest common factor number is the GCF number.
So the greatest common factor 677,432 is 1.
Lets's calculate LCM of 235,891
Given numbers has no common factors except 1. So, there LCM is their product i.e 209385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209385
Therefore, the GCF of Fractions 677/235,432/891 is 1/209385
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 235,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,891) x common factors =1 x 1 = 1
LCM(235,891) = ( 235 × 891 ) / 1
LCM(235,891) = 209385 / 1
LCM(235,891) = 209385
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 677,432?
The HCF of 677,432 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 677/235, 432/891?
Answer: GCF of Numerators as per given numbers 677/235, 432/891 is
GCF of Numerators i.e. for 677,432 is 1
LCM of denominators i.e. for 235,891 is 209385.
Thus, GCF of Fractions is 1/209385.Finally, GCF of Fractions for 677/235, 432/891 is 1/209385.