Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6778/73,1622/521
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 6778,1622
Greatest Common Factor of Numerators i.e. GCF of 6778,1622 is 2 .
LCM of Denominators means LCM of 73,521 as per the given fractions.
LCM of 73,521 is 38033 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6778,1622
2 | 6778, 1622 |
3389, 811 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6778
List of positive integer factors of 6778 that divides 6778 without a remainder.
1,2,3389,6778
Factors of 1622
List of positive integer factors of 1622 that divides 1622 without a remainder.
1,2,811,1622
Greatest Common Factor
We found the factors 6778,1622 . The biggest common factor number is the GCF number.
So the greatest common factor 6778,1622 is 2.
Lets's calculate LCM of 73,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 38033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38033
Therefore, the GCF of Fractions 6778/73,1622/521 is 2/38033
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 73,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,521) x common factors =1 x 1 = 1
LCM(73,521) = ( 73 × 521 ) / 1
LCM(73,521) = 38033 / 1
LCM(73,521) = 38033
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 6778/73, 1622/521?
Answer: GCF of Numerators as per given numbers 6778/73, 1622/521 is
GCF of Numerators i.e. for 6778,1622 is 2
LCM of denominators i.e. for 73,521 is 38033.
Thus, GCF of Fractions is 2/38033.Finally, GCF of Fractions for 6778/73, 1622/521 is 2/38033.