Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6278/79,8020/901
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 6278,8020
Greatest Common Factor of Numerators i.e. GCF of 6278,8020 is 2 .
LCM of Denominators means LCM of 79,901 as per the given fractions.
LCM of 79,901 is 71179 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6278,8020
2 | 6278, 8020 |
3139, 4010 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6278
List of positive integer factors of 6278 that divides 6278 without a remainder.
1,2,43,73,86,146,3139,6278
Factors of 8020
List of positive integer factors of 8020 that divides 8020 without a remainder.
1,2,4,5,10,20,401,802,1604,2005,4010,8020
Greatest Common Factor
We found the factors 6278,8020 . The biggest common factor number is the GCF number.
So the greatest common factor 6278,8020 is 2.
Lets's calculate LCM of 79,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 71179
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71179
Therefore, the GCF of Fractions 6278/79,8020/901 is 2/71179
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 79,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,901) x common factors =1 x 1 = 1
LCM(79,901) = ( 79 × 901 ) / 1
LCM(79,901) = 71179 / 1
LCM(79,901) = 71179
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 6278/79, 8020/901?
Answer: GCF of Numerators as per given numbers 6278/79, 8020/901 is
GCF of Numerators i.e. for 6278,8020 is 2
LCM of denominators i.e. for 79,901 is 71179.
Thus, GCF of Fractions is 2/71179.Finally, GCF of Fractions for 6278/79, 8020/901 is 2/71179.