Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8228/980,7945/862
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 8228,7945
Greatest Common Factor of Numerators i.e. GCF of 8228,7945 is 1 .
LCM of Denominators means LCM of 980,862 as per the given fractions.
LCM of 980,862 is 422380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8228,7945
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8228
List of positive integer factors of 8228 that divides 8228 without a remainder.
1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228
Factors of 7945
List of positive integer factors of 7945 that divides 7945 without a remainder.
1,5,7,35,227,1135,1589,7945
Greatest Common Factor
We found the factors 8228,7945 . The biggest common factor number is the GCF number.
So the greatest common factor 8228,7945 is 1.
Lets's calculate LCM of 980,862
2 | 980, 862 |
490, 431 |
∴ So the LCM of the given numbers is 2 x 490 x 431 = 422380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422380
Therefore, the GCF of Fractions 8228/980,7945/862 is 1/422380
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 980,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(980,862) x common factors =2 x 1 = 2
LCM(980,862) = ( 980 × 862 ) / 2
LCM(980,862) = 844760 / 2
LCM(980,862) = 422380
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 8228/980, 7945/862?
Answer: GCF of Numerators as per given numbers 8228/980, 7945/862 is
GCF of Numerators i.e. for 8228,7945 is 1
LCM of denominators i.e. for 980,862 is 422380.
Thus, GCF of Fractions is 1/422380.Finally, GCF of Fractions for 8228/980, 7945/862 is 1/422380.