Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6950/568,6145/677
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 6950,6145
Greatest Common Factor of Numerators i.e. GCF of 6950,6145 is 5 .
LCM of Denominators means LCM of 568,677 as per the given fractions.
LCM of 568,677 is 384536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6950,6145
5 | 6950, 6145 |
1390, 1229 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 6950
List of positive integer factors of 6950 that divides 6950 without a remainder.
1,2,5,10,25,50,139,278,695,1390,3475,6950
Factors of 6145
List of positive integer factors of 6145 that divides 6145 without a remainder.
1,5,1229,6145
Greatest Common Factor
We found the factors 6950,6145 . The biggest common factor number is the GCF number.
So the greatest common factor 6950,6145 is 5.
Lets's calculate LCM of 568,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 384536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/384536
Therefore, the GCF of Fractions 6950/568,6145/677 is 5/384536
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 568,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(568,677) x common factors =1 x 1 = 1
LCM(568,677) = ( 568 × 677 ) / 1
LCM(568,677) = 384536 / 1
LCM(568,677) = 384536
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 6950/568, 6145/677?
Answer: GCF of Numerators as per given numbers 6950/568, 6145/677 is
GCF of Numerators i.e. for 6950,6145 is 5
LCM of denominators i.e. for 568,677 is 384536.
Thus, GCF of Fractions is 5/384536.Finally, GCF of Fractions for 6950/568, 6145/677 is 5/384536.