Use our free GCF of Fractions Calculator tool to compute the GCF of 370/767, 731/638 i.e 1/489346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/767, 731/638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 370/767,731/638
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 370/767,731/638, numerators are 370,731
Denominators are 767,638
The GCF of 370,731 is 1 .
LCM of 767,638 is 489346.
The greatest common factor of 370/767,731/638 = [GCF of 370,731]/[LCM of 767,638]= 1/489346
Therefore, the GCF of 370/767,731/638 is 1/489346.
To find the highest common factor of 370,731, 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 731 are 1, 17, 43, 731
The HCF of 370,731 is 1.
Lets's calculate GCF of 370,731
∴ 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 731
:1,17,43,731
Greatest Common Factor
We found the factors 370,731 . The biggest common factor number is the GCF number.
So the greatest common factor 370,731 is 1.
Lets's calculate LCM of 767,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 489346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/489346
Therefore, the GCF of Fractions 370/767,731/638 is 1/489346
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 767,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,638) x common factors =1 x 1 = 1
LCM(767,638) = ( 767 × 638 ) / 1
LCM(767,638) = 489346 / 1
LCM(767,638) = 489346
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 370,731?
The HCF of 370,731 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 370/767, 731/638?
Answer: GCF of Numerators as per given numbers 370/767, 731/638 is
GCF of Numerators i.e. for 370,731 is 1
LCM of denominators i.e. for 767,638 is 489346.
Thus, GCF of Fractions is 1/489346.Finally, GCF of Fractions for 370/767, 731/638 is 1/489346.