Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 248/77,723/21,702/245
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 248,723,702
Greatest Common Factor of Numerators i.e. GCF of 248,723,702 is 1 .
LCM of Denominators means LCM of 77,21,245 as per the given fractions.
LCM of 77,21,245 is 8085 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 248,723,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 248,723,702 . The biggest common factor number is the GCF number.
So the greatest common factor 248,723,702 is 1.
Lets's calculate LCM of 77,21,245
7 | 77, 21, 245 |
11, 3, 35 |
∴ So the LCM of the given numbers is 7 x 11 x 3 x 35 = 8085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8085
Therefore, the GCF of Fractions 248/77,723/21,702/245 is 1/8085
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 77,21,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,21,245) = 7
common factors(in case of two or more numbers have common factors) = 7
GCF(77,21,245) x common factors =7 x 7 = 49
LCM(77,21,245) = ( 77 × 21 × 245 ) / 49
LCM(77,21,245) = 396165 / 49
LCM(77,21,245) = 8085
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 248/77, 723/21, 702/245?
Answer: GCF of Numerators as per given numbers 248/77, 723/21, 702/245 is
GCF of Numerators i.e. for 248,723,702 is 1
LCM of denominators i.e. for 77,21,245 is 8085.
Thus, GCF of Fractions is 1/8085.Finally, GCF of Fractions for 248/77, 723/21, 702/245 is 1/8085.