Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 266/377,7352/5346
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 266,7352
Greatest Common Factor of Numerators i.e. GCF of 266,7352 is 2 .
LCM of Denominators means LCM of 377,5346 as per the given fractions.
LCM of 377,5346 is 2015442 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 266,7352
2 | 266, 7352 |
133, 3676 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 7352
List of positive integer factors of 7352 that divides 7352 without a remainder.
1,2,4,8,919,1838,3676,7352
Greatest Common Factor
We found the factors 266,7352 . The biggest common factor number is the GCF number.
So the greatest common factor 266,7352 is 2.
Lets's calculate LCM of 377,5346
Given numbers has no common factors except 1. So, there LCM is their product i.e 2015442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2015442
Therefore, the GCF of Fractions 266/377,7352/5346 is 2/2015442
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 377,5346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,5346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,5346) x common factors =1 x 1 = 1
LCM(377,5346) = ( 377 × 5346 ) / 1
LCM(377,5346) = 2015442 / 1
LCM(377,5346) = 2015442
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 266/377, 7352/5346?
Answer: GCF of Numerators as per given numbers 266/377, 7352/5346 is
GCF of Numerators i.e. for 266,7352 is 2
LCM of denominators i.e. for 377,5346 is 2015442.
Thus, GCF of Fractions is 2/2015442.Finally, GCF of Fractions for 266/377, 7352/5346 is 2/2015442.