Use our free GCF of Fractions Calculator tool to compute the GCF of 406/674, 627/358 i.e 1/120646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 406/674, 627/358.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 406/674,627/358
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 406/674,627/358, numerators are 406,627
Denominators are 674,358
The GCF of 406,627 is 1 .
LCM of 674,358 is 120646.
The greatest common factor of 406/674,627/358 = [GCF of 406,627]/[LCM of 674,358]= 1/120646
Therefore, the GCF of 406/674,627/358 is 1/120646.
To find the highest common factor of 406,627, we have to find the factors of both numbers and list the highest common factor.
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627
The HCF of 406,627 is 1.
Lets's calculate GCF of 406,627
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Now, list down the factors of 627
:1,3,11,19,33,57,209,627
Greatest Common Factor
We found the factors 406,627 . The biggest common factor number is the GCF number.
So the greatest common factor 406,627 is 1.
Lets's calculate LCM of 674,358
2 | 674, 358 |
337, 179 |
∴ So the LCM of the given numbers is 2 x 337 x 179 = 120646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120646
Therefore, the GCF of Fractions 406/674,627/358 is 1/120646
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 674,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,358) x common factors =2 x 1 = 2
LCM(674,358) = ( 674 × 358 ) / 2
LCM(674,358) = 241292 / 2
LCM(674,358) = 120646
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 406,627?
The HCF of 406,627 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 406/674, 627/358?
Answer: GCF of Numerators as per given numbers 406/674, 627/358 is
GCF of Numerators i.e. for 406,627 is 1
LCM of denominators i.e. for 674,358 is 120646.
Thus, GCF of Fractions is 1/120646.Finally, GCF of Fractions for 406/674, 627/358 is 1/120646.