Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 688/125,724/732
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 688,724
Greatest Common Factor of Numerators i.e. GCF of 688,724 is 4 .
LCM of Denominators means LCM of 125,732 as per the given fractions.
LCM of 125,732 is 91500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 688,724
2 | 688, 724 |
2 | 344, 362 |
172, 181 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors 688,724 . The biggest common factor number is the GCF number.
So the greatest common factor 688,724 is 4.
Lets's calculate LCM of 125,732
Given numbers has no common factors except 1. So, there LCM is their product i.e 91500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/91500
Therefore, the GCF of Fractions 688/125,724/732 is 4/91500
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 125,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,732) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,732) x common factors =1 x 1 = 1
LCM(125,732) = ( 125 × 732 ) / 1
LCM(125,732) = 91500 / 1
LCM(125,732) = 91500
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 688/125, 724/732?
Answer: GCF of Numerators as per given numbers 688/125, 724/732 is
GCF of Numerators i.e. for 688,724 is 4
LCM of denominators i.e. for 125,732 is 91500.
Thus, GCF of Fractions is 4/91500.Finally, GCF of Fractions for 688/125, 724/732 is 4/91500.