Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8174/766,9080/4178
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 8174,9080
Greatest Common Factor of Numerators i.e. GCF of 8174,9080 is 2 .
LCM of Denominators means LCM of 766,4178 as per the given fractions.
LCM of 766,4178 is 1600174 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8174,9080
2 | 8174, 9080 |
4087, 4540 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8174
List of positive integer factors of 8174 that divides 8174 without a remainder.
1,2,61,67,122,134,4087,8174
Factors of 9080
List of positive integer factors of 9080 that divides 9080 without a remainder.
1,2,4,5,8,10,20,40,227,454,908,1135,1816,2270,4540,9080
Greatest Common Factor
We found the factors 8174,9080 . The biggest common factor number is the GCF number.
So the greatest common factor 8174,9080 is 2.
Lets's calculate LCM of 766,4178
2 | 766, 4178 |
383, 2089 |
∴ So the LCM of the given numbers is 2 x 383 x 2089 = 1600174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1600174
Therefore, the GCF of Fractions 8174/766,9080/4178 is 2/1600174
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 766,4178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,4178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,4178) x common factors =2 x 1 = 2
LCM(766,4178) = ( 766 × 4178 ) / 2
LCM(766,4178) = 3200348 / 2
LCM(766,4178) = 1600174
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 8174/766, 9080/4178?
Answer: GCF of Numerators as per given numbers 8174/766, 9080/4178 is
GCF of Numerators i.e. for 8174,9080 is 2
LCM of denominators i.e. for 766,4178 is 1600174.
Thus, GCF of Fractions is 2/1600174.Finally, GCF of Fractions for 8174/766, 9080/4178 is 2/1600174.