Use our free GCF of Fractions Calculator tool to compute the GCF of 727/602, 858/380 i.e 1/114380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 727/602, 858/380.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 727/602,858/380
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 727/602,858/380, numerators are 727,858
Denominators are 602,380
The GCF of 727,858 is 1 .
LCM of 602,380 is 114380.
The greatest common factor of 727/602,858/380 = [GCF of 727,858]/[LCM of 602,380]= 1/114380
Therefore, the GCF of 727/602,858/380 is 1/114380.
To find the highest common factor of 727,858, we have to find the factors of both numbers and list the highest common factor.
The factors of 727 are 1, 727
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The HCF of 727,858 is 1.
Lets's calculate GCF of 727,858
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 727
:1,727
Now, list down the factors of 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 727,858 . The biggest common factor number is the GCF number.
So the greatest common factor 727,858 is 1.
Lets's calculate LCM of 602,380
2 | 602, 380 |
301, 190 |
∴ So the LCM of the given numbers is 2 x 301 x 190 = 114380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114380
Therefore, the GCF of Fractions 727/602,858/380 is 1/114380
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 602,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,380) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,380) x common factors =2 x 1 = 2
LCM(602,380) = ( 602 × 380 ) / 2
LCM(602,380) = 228760 / 2
LCM(602,380) = 114380
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 727,858?
The HCF of 727,858 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 727/602, 858/380?
Answer: GCF of Numerators as per given numbers 727/602, 858/380 is
GCF of Numerators i.e. for 727,858 is 1
LCM of denominators i.e. for 602,380 is 114380.
Thus, GCF of Fractions is 1/114380.Finally, GCF of Fractions for 727/602, 858/380 is 1/114380.