Use our free GCF of Fractions Calculator tool to compute the GCF of 721/607, 399/278 i.e 7/168746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 721/607, 399/278.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 721/607,399/278
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 721/607,399/278, numerators are 721,399
Denominators are 607,278
The GCF of 721,399 is 7 .
LCM of 607,278 is 168746.
The greatest common factor of 721/607,399/278 = [GCF of 721,399]/[LCM of 607,278]= 7/168746
Therefore, the GCF of 721/607,399/278 is 7/168746.
To find the highest common factor of 721,399, we have to find the factors of both numbers and list the highest common factor.
The factors of 721 are 1, 7, 103, 721
The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399
The HCF of 721,399 is 7.
Lets's calculate GCF of 721,399
7 | 721, 399 |
103, 57 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 721
:1,7,103,721
Now, list down the factors of 399
:1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 721,399 . The biggest common factor number is the GCF number.
So the greatest common factor 721,399 is 7.
Lets's calculate LCM of 607,278
Given numbers has no common factors except 1. So, there LCM is their product i.e 168746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/168746
Therefore, the GCF of Fractions 721/607,399/278 is 7/168746
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 607,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,278) x common factors =1 x 1 = 1
LCM(607,278) = ( 607 × 278 ) / 1
LCM(607,278) = 168746 / 1
LCM(607,278) = 168746
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 721,399?
The HCF of 721,399 is 7
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 721/607, 399/278?
Answer: GCF of Numerators as per given numbers 721/607, 399/278 is
GCF of Numerators i.e. for 721,399 is 7
LCM of denominators i.e. for 607,278 is 168746.
Thus, GCF of Fractions is 7/168746.Finally, GCF of Fractions for 721/607, 399/278 is 7/168746.