Use our free GCF of Fractions Calculator tool to compute the GCF of 647/734, 851/179 i.e 1/131386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 647/734, 851/179.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 647/734,851/179
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 647/734,851/179, numerators are 647,851
Denominators are 734,179
The GCF of 647,851 is 1 .
LCM of 734,179 is 131386.
The greatest common factor of 647/734,851/179 = [GCF of 647,851]/[LCM of 734,179]= 1/131386
Therefore, the GCF of 647/734,851/179 is 1/131386.
To find the highest common factor of 647,851, we have to find the factors of both numbers and list the highest common factor.
The factors of 647 are 1, 647
The factors of 851 are 1, 23, 37, 851
The HCF of 647,851 is 1.
Lets's calculate GCF of 647,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 647
:1,647
Now, list down the factors of 851
:1,23,37,851
Greatest Common Factor
We found the factors 647,851 . The biggest common factor number is the GCF number.
So the greatest common factor 647,851 is 1.
Lets's calculate LCM of 734,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 131386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131386
Therefore, the GCF of Fractions 647/734,851/179 is 1/131386
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 734,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,179) x common factors =1 x 1 = 1
LCM(734,179) = ( 734 × 179 ) / 1
LCM(734,179) = 131386 / 1
LCM(734,179) = 131386
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 647,851?
The HCF of 647,851 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 647/734, 851/179?
Answer: GCF of Numerators as per given numbers 647/734, 851/179 is
GCF of Numerators i.e. for 647,851 is 1
LCM of denominators i.e. for 734,179 is 131386.
Thus, GCF of Fractions is 1/131386.Finally, GCF of Fractions for 647/734, 851/179 is 1/131386.