GCF of 594/17, 154/2705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 594/17, 154/2705 i.e 22/45985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 594/17, 154/2705.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 594/17,154/2705?
Given fractions are 594/17,154/2705
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 594/17,154/2705, numerators are 594,154
Denominators are 17,2705
The GCF of 594,154 is 22 .
LCM of 17,2705 is 45985.
The greatest common factor of 594/17,154/2705 = [GCF of 594,154]/[LCM of 17,2705]= 22/45985
Therefore, the GCF of 594/17,154/2705 is 22/45985.
To find the highest common factor of 594,154, we have to find the factors of both numbers and list the highest common factor.
The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The HCF of 594,154 is 22.
Lets's calculate GCF of 594,154
| 2 | 594, 154 |
| 11 | 297, 77 |
| 27, 7 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 594,154 By Matching Biggest Common Factor Method
Now, list down the factors of 594
:1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 594,154 . The biggest common factor number is the GCF number.
So the greatest common factor 594,154 is 22.
Lets's calculate LCM of 17,2705
Given numbers has no common factors except 1. So, there LCM is their product i.e 45985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/45985
Therefore, the GCF of Fractions 594/17,154/2705 is 22/45985
Least Common Multiple of 17,2705 with GCF Formula
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 17,2705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,2705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,2705) x common factors =1 x 1 = 1
LCM(17,2705) = ( 17 × 2705 ) / 1
LCM(17,2705) = 45985 / 1
LCM(17,2705) = 45985
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FAQs on GCF of Fractions of 594/17, 154/2705
1. What is the HCF of 594,154?
The HCF of 594,154 is 22
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 594/17, 154/2705?
Answer: GCF of Numerators as per given numbers 594/17, 154/2705 is
GCF of Numerators i.e. for 594,154 is 22
LCM of denominators i.e. for 17,2705 is 45985.
Thus, GCF of Fractions is 22/45985.Finally, GCF of Fractions for 594/17, 154/2705 is 22/45985.