Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 546/43,237/53,121/739
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 546,237,121
Greatest Common Factor of Numerators i.e. GCF of 546,237,121 is 1 .
LCM of Denominators means LCM of 43,53,739 as per the given fractions.
LCM of 43,53,739 is 1684181 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 546,237,121
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 546,237,121 . The biggest common factor number is the GCF number.
So the greatest common factor 546,237,121 is 1.
Lets's calculate LCM of 43,53,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 1684181
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1684181
Therefore, the GCF of Fractions 546/43,237/53,121/739 is 1/1684181
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 43,53,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,53,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,53,739) x common factors =1 x 1 = 1
LCM(43,53,739) = ( 43 × 53 × 739 ) / 1
LCM(43,53,739) = 1684181 / 1
LCM(43,53,739) = 1684181
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 546/43, 237/53, 121/739?
Answer: GCF of Numerators as per given numbers 546/43, 237/53, 121/739 is
GCF of Numerators i.e. for 546,237,121 is 1
LCM of denominators i.e. for 43,53,739 is 1684181.
Thus, GCF of Fractions is 1/1684181.Finally, GCF of Fractions for 546/43, 237/53, 121/739 is 1/1684181.