Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 639/532,785/877,810/203
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 639,785,810
Greatest Common Factor of Numerators i.e. GCF of 639,785,810 is 1 .
LCM of Denominators means LCM of 532,877,203 as per the given fractions.
LCM of 532,877,203 is 13530356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 639,785,810
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 639,785,810 . The biggest common factor number is the GCF number.
So the greatest common factor 639,785,810 is 1.
Lets's calculate LCM of 532,877,203
7 | 532, 877, 203 |
76, 877, 29 |
∴ So the LCM of the given numbers is 7 x 76 x 877 x 29 = 13530356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13530356
Therefore, the GCF of Fractions 639/532,785/877,810/203 is 1/13530356
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 532,877,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,877,203) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(532,877,203) x common factors =1 x 7 = 7
LCM(532,877,203) = ( 532 × 877 × 203 ) / 7
LCM(532,877,203) = 94712492 / 7
LCM(532,877,203) = 13530356
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 639/532, 785/877, 810/203?
Answer: GCF of Numerators as per given numbers 639/532, 785/877, 810/203 is
GCF of Numerators i.e. for 639,785,810 is 1
LCM of denominators i.e. for 532,877,203 is 13530356.
Thus, GCF of Fractions is 1/13530356.Finally, GCF of Fractions for 639/532, 785/877, 810/203 is 1/13530356.