GCF of 731/155, 9418/159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 731/155, 9418/159 i.e 17/24645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 731/155, 9418/159.
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 731/155,9418/159?
Given fractions are 731/155,9418/159
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 731/155,9418/159, numerators are 731,9418
Denominators are 155,159
The GCF of 731,9418 is 17 .
LCM of 155,159 is 24645.
The greatest common factor of 731/155,9418/159 = [GCF of 731,9418]/[LCM of 155,159]= 17/24645
Therefore, the GCF of 731/155,9418/159 is 17/24645.
To find the highest common factor of 731,9418, we have to find the factors of both numbers and list the highest common factor.
The factors of 731 are 1, 17, 43, 731
The factors of 9418 are 1, 2, 17, 34, 277, 554, 4709, 9418
The HCF of 731,9418 is 17.
Lets's calculate GCF of 731,9418
| 17 | 731, 9418 |
| 43, 554 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 731,9418 By Matching Biggest Common Factor Method
Now, list down the factors of 731
:1,17,43,731
Now, list down the factors of 9418
:1,2,17,34,277,554,4709,9418
Greatest Common Factor
We found the factors 731,9418 . The biggest common factor number is the GCF number.
So the greatest common factor 731,9418 is 17.
Lets's calculate LCM of 155,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 24645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/24645
Therefore, the GCF of Fractions 731/155,9418/159 is 17/24645
Least Common Multiple of 155,159 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 155,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,159) x common factors =1 x 1 = 1
LCM(155,159) = ( 155 × 159 ) / 1
LCM(155,159) = 24645 / 1
LCM(155,159) = 24645
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FAQs on GCF of Fractions of 731/155, 9418/159
1. What is the HCF of 731,9418?
The HCF of 731,9418 is 17
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 731/155, 9418/159?
Answer: GCF of Numerators as per given numbers 731/155, 9418/159 is
GCF of Numerators i.e. for 731,9418 is 17
LCM of denominators i.e. for 155,159 is 24645.
Thus, GCF of Fractions is 17/24645.Finally, GCF of Fractions for 731/155, 9418/159 is 17/24645.