Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7097/901,1396/7440
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 7097,1396
Greatest Common Factor of Numerators i.e. GCF of 7097,1396 is 1 .
LCM of Denominators means LCM of 901,7440 as per the given fractions.
LCM of 901,7440 is 6703440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7097,1396
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7097
List of positive integer factors of 7097 that divides 7097 without a remainder.
1,47,151,7097
Factors of 1396
List of positive integer factors of 1396 that divides 1396 without a remainder.
1,2,4,349,698,1396
Greatest Common Factor
We found the factors 7097,1396 . The biggest common factor number is the GCF number.
So the greatest common factor 7097,1396 is 1.
Lets's calculate LCM of 901,7440
Given numbers has no common factors except 1. So, there LCM is their product i.e 6703440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6703440
Therefore, the GCF of Fractions 7097/901,1396/7440 is 1/6703440
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 901,7440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,7440) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,7440) x common factors =1 x 1 = 1
LCM(901,7440) = ( 901 × 7440 ) / 1
LCM(901,7440) = 6703440 / 1
LCM(901,7440) = 6703440
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 7097/901, 1396/7440?
Answer: GCF of Numerators as per given numbers 7097/901, 1396/7440 is
GCF of Numerators i.e. for 7097,1396 is 1
LCM of denominators i.e. for 901,7440 is 6703440.
Thus, GCF of Fractions is 1/6703440.Finally, GCF of Fractions for 7097/901, 1396/7440 is 1/6703440.