Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/57,53/97,93/617,952/548
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 6,53,93,952
Greatest Common Factor of Numerators i.e. GCF of 6,53,93,952 is 1 .
LCM of Denominators means LCM of 57,97,617,548 as per the given fractions.
LCM of 57,97,617,548 is 1869443364 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,53,93,952
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 6,53,93,952 . The biggest common factor number is the GCF number.
So the greatest common factor 6,53,93,952 is 1.
Lets's calculate LCM of 57,97,617,548
Given numbers has no common factors except 1. So, there LCM is their product i.e 1869443364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1869443364
Therefore, the GCF of Fractions 6/57,53/97,93/617,952/548 is 1/1869443364
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 57,97,617,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,97,617,548) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,97,617,548) x common factors =1 x 1 = 1
LCM(57,97,617,548) = ( 57 × 97 × 617 × 548 ) / 1
LCM(57,97,617,548) = 1869443364 / 1
LCM(57,97,617,548) = 1869443364
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 6/57, 53/97, 93/617, 952/548?
Answer: GCF of Numerators as per given numbers 6/57, 53/97, 93/617, 952/548 is
GCF of Numerators i.e. for 6,53,93,952 is 1
LCM of denominators i.e. for 57,97,617,548 is 1869443364.
Thus, GCF of Fractions is 1/1869443364.Finally, GCF of Fractions for 6/57, 53/97, 93/617, 952/548 is 1/1869443364.