Use our free GCF of Fractions Calculator tool to compute the GCF of 924/917, 349/513 i.e 1/470421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/917, 349/513.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 924/917,349/513
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 924/917,349/513, numerators are 924,349
Denominators are 917,513
The GCF of 924,349 is 1 .
LCM of 917,513 is 470421.
The greatest common factor of 924/917,349/513 = [GCF of 924,349]/[LCM of 917,513]= 1/470421
Therefore, the GCF of 924/917,349/513 is 1/470421.
To find the highest common factor of 924,349, we have to find the factors of both numbers and list the highest common factor.
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The factors of 349 are 1, 349
The HCF of 924,349 is 1.
Lets's calculate GCF of 924,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Now, list down the factors of 349
:1,349
Greatest Common Factor
We found the factors 924,349 . The biggest common factor number is the GCF number.
So the greatest common factor 924,349 is 1.
Lets's calculate LCM of 917,513
Given numbers has no common factors except 1. So, there LCM is their product i.e 470421
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/470421
Therefore, the GCF of Fractions 924/917,349/513 is 1/470421
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 917,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,513) x common factors =1 x 1 = 1
LCM(917,513) = ( 917 × 513 ) / 1
LCM(917,513) = 470421 / 1
LCM(917,513) = 470421
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 924,349?
The HCF of 924,349 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 924/917, 349/513?
Answer: GCF of Numerators as per given numbers 924/917, 349/513 is
GCF of Numerators i.e. for 924,349 is 1
LCM of denominators i.e. for 917,513 is 470421.
Thus, GCF of Fractions is 1/470421.Finally, GCF of Fractions for 924/917, 349/513 is 1/470421.