GCF of 1301/162, 5734/2931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1301/162, 5734/2931 i.e 1/158274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1301/162, 5734/2931.
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 1301/162,5734/2931?
Given fractions are 1301/162,5734/2931
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 1301/162,5734/2931, numerators are 1301,5734
Denominators are 162,2931
The GCF of 1301,5734 is 1 .
LCM of 162,2931 is 158274.
The greatest common factor of 1301/162,5734/2931 = [GCF of 1301,5734]/[LCM of 162,2931]= 1/158274
Therefore, the GCF of 1301/162,5734/2931 is 1/158274.
To find the highest common factor of 1301,5734, we have to find the factors of both numbers and list the highest common factor.
The factors of 1301 are 1, 1301
The factors of 5734 are 1, 2, 47, 61, 94, 122, 2867, 5734
The HCF of 1301,5734 is 1.
Lets's calculate GCF of 1301,5734
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1301,5734 By Matching Biggest Common Factor Method
Now, list down the factors of 1301
:1,1301
Now, list down the factors of 5734
:1,2,47,61,94,122,2867,5734
Greatest Common Factor
We found the factors 1301,5734 . The biggest common factor number is the GCF number.
So the greatest common factor 1301,5734 is 1.
Lets's calculate LCM of 162,2931
| 3 | 162, 2931 |
| 54, 977 |
∴ So the LCM of the given numbers is 3 x 54 x 977 = 158274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158274
Therefore, the GCF of Fractions 1301/162,5734/2931 is 1/158274
Least Common Multiple of 162,2931 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 162,2931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,2931) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(162,2931) x common factors =3 x 1 = 3
LCM(162,2931) = ( 162 × 2931 ) / 3
LCM(162,2931) = 474822 / 3
LCM(162,2931) = 158274
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FAQs on GCF of Fractions of 1301/162, 5734/2931
1. What is the HCF of 1301,5734?
The HCF of 1301,5734 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 1301/162, 5734/2931?
Answer: GCF of Numerators as per given numbers 1301/162, 5734/2931 is
GCF of Numerators i.e. for 1301,5734 is 1
LCM of denominators i.e. for 162,2931 is 158274.
Thus, GCF of Fractions is 1/158274.Finally, GCF of Fractions for 1301/162, 5734/2931 is 1/158274.