Use our free GCF of Fractions Calculator tool to compute the GCF of 345/924, 454/837 i.e 1/257796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 345/924, 454/837.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 345/924,454/837
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 345/924,454/837, numerators are 345,454
Denominators are 924,837
The GCF of 345,454 is 1 .
LCM of 924,837 is 257796.
The greatest common factor of 345/924,454/837 = [GCF of 345,454]/[LCM of 924,837]= 1/257796
Therefore, the GCF of 345/924,454/837 is 1/257796.
To find the highest common factor of 345,454, we have to find the factors of both numbers and list the highest common factor.
The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345
The factors of 454 are 1, 2, 227, 454
The HCF of 345,454 is 1.
Lets's calculate GCF of 345,454
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 345
:1,3,5,15,23,69,115,345
Now, list down the factors of 454
:1,2,227,454
Greatest Common Factor
We found the factors 345,454 . The biggest common factor number is the GCF number.
So the greatest common factor 345,454 is 1.
Lets's calculate LCM of 924,837
3 | 924, 837 |
308, 279 |
∴ So the LCM of the given numbers is 3 x 308 x 279 = 257796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257796
Therefore, the GCF of Fractions 345/924,454/837 is 1/257796
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 924,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,837) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(924,837) x common factors =3 x 1 = 3
LCM(924,837) = ( 924 × 837 ) / 3
LCM(924,837) = 773388 / 3
LCM(924,837) = 257796
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 345,454?
The HCF of 345,454 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 345/924, 454/837?
Answer: GCF of Numerators as per given numbers 345/924, 454/837 is
GCF of Numerators i.e. for 345,454 is 1
LCM of denominators i.e. for 924,837 is 257796.
Thus, GCF of Fractions is 1/257796.Finally, GCF of Fractions for 345/924, 454/837 is 1/257796.