Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 735/749,1607/932
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 735,1607
Greatest Common Factor of Numerators i.e. GCF of 735,1607 is 1 .
LCM of Denominators means LCM of 749,932 as per the given fractions.
LCM of 749,932 is 698068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 735,1607
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Factors of 1607
List of positive integer factors of 1607 that divides 1607 without a remainder.
1,1607
Greatest Common Factor
We found the factors 735,1607 . The biggest common factor number is the GCF number.
So the greatest common factor 735,1607 is 1.
Lets's calculate LCM of 749,932
Given numbers has no common factors except 1. So, there LCM is their product i.e 698068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/698068
Therefore, the GCF of Fractions 735/749,1607/932 is 1/698068
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 749,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,932) x common factors =1 x 1 = 1
LCM(749,932) = ( 749 × 932 ) / 1
LCM(749,932) = 698068 / 1
LCM(749,932) = 698068
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 735/749, 1607/932?
Answer: GCF of Numerators as per given numbers 735/749, 1607/932 is
GCF of Numerators i.e. for 735,1607 is 1
LCM of denominators i.e. for 749,932 is 698068.
Thus, GCF of Fractions is 1/698068.Finally, GCF of Fractions for 735/749, 1607/932 is 1/698068.