Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 826/621,312/829
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 826,312
Greatest Common Factor of Numerators i.e. GCF of 826,312 is 2 .
LCM of Denominators means LCM of 621,829 as per the given fractions.
LCM of 621,829 is 514809 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 826,312
2 | 826, 312 |
413, 156 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 826,312 . The biggest common factor number is the GCF number.
So the greatest common factor 826,312 is 2.
Lets's calculate LCM of 621,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 514809
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/514809
Therefore, the GCF of Fractions 826/621,312/829 is 2/514809
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 621,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,829) x common factors =1 x 1 = 1
LCM(621,829) = ( 621 × 829 ) / 1
LCM(621,829) = 514809 / 1
LCM(621,829) = 514809
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 826/621, 312/829?
Answer: GCF of Numerators as per given numbers 826/621, 312/829 is
GCF of Numerators i.e. for 826,312 is 2
LCM of denominators i.e. for 621,829 is 514809.
Thus, GCF of Fractions is 2/514809.Finally, GCF of Fractions for 826/621, 312/829 is 2/514809.