Use our free GCF of Fractions Calculator tool to compute the GCF of 155/51, 572/414 i.e 1/7038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/51, 572/414.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 155/51,572/414
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 155/51,572/414, numerators are 155,572
Denominators are 51,414
The GCF of 155,572 is 1 .
LCM of 51,414 is 7038.
The greatest common factor of 155/51,572/414 = [GCF of 155,572]/[LCM of 51,414]= 1/7038
Therefore, the GCF of 155/51,572/414 is 1/7038.
To find the highest common factor of 155,572, we have to find the factors of both numbers and list the highest common factor.
The factors of 155 are 1, 5, 31, 155
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The HCF of 155,572 is 1.
Lets's calculate GCF of 155,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 155,572 . The biggest common factor number is the GCF number.
So the greatest common factor 155,572 is 1.
Lets's calculate LCM of 51,414
3 | 51, 414 |
17, 138 |
∴ So the LCM of the given numbers is 3 x 17 x 138 = 7038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7038
Therefore, the GCF of Fractions 155/51,572/414 is 1/7038
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 51,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,414) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(51,414) x common factors =3 x 1 = 3
LCM(51,414) = ( 51 × 414 ) / 3
LCM(51,414) = 21114 / 3
LCM(51,414) = 7038
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 155,572?
The HCF of 155,572 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 155/51, 572/414?
Answer: GCF of Numerators as per given numbers 155/51, 572/414 is
GCF of Numerators i.e. for 155,572 is 1
LCM of denominators i.e. for 51,414 is 7038.
Thus, GCF of Fractions is 1/7038.Finally, GCF of Fractions for 155/51, 572/414 is 1/7038.