Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 155/70,688/1077
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 155,688
Greatest Common Factor of Numerators i.e. GCF of 155,688 is 1 .
LCM of Denominators means LCM of 70,1077 as per the given fractions.
LCM of 70,1077 is 75390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 155,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 155,688 . The biggest common factor number is the GCF number.
So the greatest common factor 155,688 is 1.
Lets's calculate LCM of 70,1077
Given numbers has no common factors except 1. So, there LCM is their product i.e 75390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75390
Therefore, the GCF of Fractions 155/70,688/1077 is 1/75390
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 70,1077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,1077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,1077) x common factors =1 x 1 = 1
LCM(70,1077) = ( 70 × 1077 ) / 1
LCM(70,1077) = 75390 / 1
LCM(70,1077) = 75390
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 155/70, 688/1077?
Answer: GCF of Numerators as per given numbers 155/70, 688/1077 is
GCF of Numerators i.e. for 155,688 is 1
LCM of denominators i.e. for 70,1077 is 75390.
Thus, GCF of Fractions is 1/75390.Finally, GCF of Fractions for 155/70, 688/1077 is 1/75390.