Use our free GCF of Fractions Calculator tool to compute the GCF of 370/500, 897/423 i.e 1/211500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/500, 897/423.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 370/500,897/423
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 370/500,897/423, numerators are 370,897
Denominators are 500,423
The GCF of 370,897 is 1 .
LCM of 500,423 is 211500.
The greatest common factor of 370/500,897/423 = [GCF of 370,897]/[LCM of 500,423]= 1/211500
Therefore, the GCF of 370/500,897/423 is 1/211500.
To find the highest common factor of 370,897, we have to find the factors of both numbers and list the highest common factor.
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897
The HCF of 370,897 is 1.
Lets's calculate GCF of 370,897
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Now, list down the factors of 897
:1,3,13,23,39,69,299,897
Greatest Common Factor
We found the factors 370,897 . The biggest common factor number is the GCF number.
So the greatest common factor 370,897 is 1.
Lets's calculate LCM of 500,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 211500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211500
Therefore, the GCF of Fractions 370/500,897/423 is 1/211500
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 500,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,423) x common factors =1 x 1 = 1
LCM(500,423) = ( 500 × 423 ) / 1
LCM(500,423) = 211500 / 1
LCM(500,423) = 211500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 370,897?
The HCF of 370,897 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 370/500, 897/423?
Answer: GCF of Numerators as per given numbers 370/500, 897/423 is
GCF of Numerators i.e. for 370,897 is 1
LCM of denominators i.e. for 500,423 is 211500.
Thus, GCF of Fractions is 1/211500.Finally, GCF of Fractions for 370/500, 897/423 is 1/211500.