Use our free GCF of Fractions Calculator tool to compute the GCF of 283/757, 918/637 i.e 1/482209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 283/757, 918/637.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 283/757,918/637
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 283/757,918/637, numerators are 283,918
Denominators are 757,637
The GCF of 283,918 is 1 .
LCM of 757,637 is 482209.
The greatest common factor of 283/757,918/637 = [GCF of 283,918]/[LCM of 757,637]= 1/482209
Therefore, the GCF of 283/757,918/637 is 1/482209.
To find the highest common factor of 283,918, we have to find the factors of both numbers and list the highest common factor.
The factors of 283 are 1, 283
The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The HCF of 283,918 is 1.
Lets's calculate GCF of 283,918
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 283
:1,283
Now, list down the factors of 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 283,918 . The biggest common factor number is the GCF number.
So the greatest common factor 283,918 is 1.
Lets's calculate LCM of 757,637
Given numbers has no common factors except 1. So, there LCM is their product i.e 482209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/482209
Therefore, the GCF of Fractions 283/757,918/637 is 1/482209
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 757,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,637) x common factors =1 x 1 = 1
LCM(757,637) = ( 757 × 637 ) / 1
LCM(757,637) = 482209 / 1
LCM(757,637) = 482209
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 283,918?
The HCF of 283,918 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 283/757, 918/637?
Answer: GCF of Numerators as per given numbers 283/757, 918/637 is
GCF of Numerators i.e. for 283,918 is 1
LCM of denominators i.e. for 757,637 is 482209.
Thus, GCF of Fractions is 1/482209.Finally, GCF of Fractions for 283/757, 918/637 is 1/482209.