Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/266,7510/1970
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 79,7510
Greatest Common Factor of Numerators i.e. GCF of 79,7510 is 1 .
LCM of Denominators means LCM of 266,1970 as per the given fractions.
LCM of 266,1970 is 262010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 79,7510
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 7510
List of positive integer factors of 7510 that divides 7510 without a remainder.
1,2,5,10,751,1502,3755,7510
Greatest Common Factor
We found the factors 79,7510 . The biggest common factor number is the GCF number.
So the greatest common factor 79,7510 is 1.
Lets's calculate LCM of 266,1970
2 | 266, 1970 |
133, 985 |
∴ So the LCM of the given numbers is 2 x 133 x 985 = 262010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262010
Therefore, the GCF of Fractions 79/266,7510/1970 is 1/262010
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 266,1970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,1970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(266,1970) x common factors =2 x 1 = 2
LCM(266,1970) = ( 266 × 1970 ) / 2
LCM(266,1970) = 524020 / 2
LCM(266,1970) = 262010
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 79/266, 7510/1970?
Answer: GCF of Numerators as per given numbers 79/266, 7510/1970 is
GCF of Numerators i.e. for 79,7510 is 1
LCM of denominators i.e. for 266,1970 is 262010.
Thus, GCF of Fractions is 1/262010.Finally, GCF of Fractions for 79/266, 7510/1970 is 1/262010.