Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7049/552,8429/985
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 7049,8429
Greatest Common Factor of Numerators i.e. GCF of 7049,8429 is 1 .
LCM of Denominators means LCM of 552,985 as per the given fractions.
LCM of 552,985 is 543720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7049,8429
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7049
List of positive integer factors of 7049 that divides 7049 without a remainder.
1,7,19,53,133,371,1007,7049
Factors of 8429
List of positive integer factors of 8429 that divides 8429 without a remainder.
1,8429
Greatest Common Factor
We found the factors 7049,8429 . The biggest common factor number is the GCF number.
So the greatest common factor 7049,8429 is 1.
Lets's calculate LCM of 552,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 543720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/543720
Therefore, the GCF of Fractions 7049/552,8429/985 is 1/543720
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 552,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(552,985) x common factors =1 x 1 = 1
LCM(552,985) = ( 552 × 985 ) / 1
LCM(552,985) = 543720 / 1
LCM(552,985) = 543720
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 7049/552, 8429/985?
Answer: GCF of Numerators as per given numbers 7049/552, 8429/985 is
GCF of Numerators i.e. for 7049,8429 is 1
LCM of denominators i.e. for 552,985 is 543720.
Thus, GCF of Fractions is 1/543720.Finally, GCF of Fractions for 7049/552, 8429/985 is 1/543720.