Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 657/114,628/435
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 657,628
Greatest Common Factor of Numerators i.e. GCF of 657,628 is 1 .
LCM of Denominators means LCM of 114,435 as per the given fractions.
LCM of 114,435 is 16530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 657,628
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Greatest Common Factor
We found the factors 657,628 . The biggest common factor number is the GCF number.
So the greatest common factor 657,628 is 1.
Lets's calculate LCM of 114,435
3 | 114, 435 |
38, 145 |
∴ So the LCM of the given numbers is 3 x 38 x 145 = 16530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16530
Therefore, the GCF of Fractions 657/114,628/435 is 1/16530
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 114,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,435) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(114,435) x common factors =3 x 1 = 3
LCM(114,435) = ( 114 × 435 ) / 3
LCM(114,435) = 49590 / 3
LCM(114,435) = 16530
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 657/114, 628/435?
Answer: GCF of Numerators as per given numbers 657/114, 628/435 is
GCF of Numerators i.e. for 657,628 is 1
LCM of denominators i.e. for 114,435 is 16530.
Thus, GCF of Fractions is 1/16530.Finally, GCF of Fractions for 657/114, 628/435 is 1/16530.