Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 262/178,7070/871
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 262,7070
Greatest Common Factor of Numerators i.e. GCF of 262,7070 is 2 .
LCM of Denominators means LCM of 178,871 as per the given fractions.
LCM of 178,871 is 155038 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 262,7070
2 | 262, 7070 |
131, 3535 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 7070
List of positive integer factors of 7070 that divides 7070 without a remainder.
1,2,5,7,10,14,35,70,101,202,505,707,1010,1414,3535,7070
Greatest Common Factor
We found the factors 262,7070 . The biggest common factor number is the GCF number.
So the greatest common factor 262,7070 is 2.
Lets's calculate LCM of 178,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 155038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/155038
Therefore, the GCF of Fractions 262/178,7070/871 is 2/155038
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 178,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(178,871) x common factors =1 x 1 = 1
LCM(178,871) = ( 178 × 871 ) / 1
LCM(178,871) = 155038 / 1
LCM(178,871) = 155038
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 262/178, 7070/871?
Answer: GCF of Numerators as per given numbers 262/178, 7070/871 is
GCF of Numerators i.e. for 262,7070 is 2
LCM of denominators i.e. for 178,871 is 155038.
Thus, GCF of Fractions is 2/155038.Finally, GCF of Fractions for 262/178, 7070/871 is 2/155038.