GCF of 9151/945, 1749/5814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9151/945, 1749/5814 i.e 1/610470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9151/945, 1749/5814.
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 9151/945,1749/5814?
Given fractions are 9151/945,1749/5814
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 9151/945,1749/5814, numerators are 9151,1749
Denominators are 945,5814
The GCF of 9151,1749 is 1 .
LCM of 945,5814 is 610470.
The greatest common factor of 9151/945,1749/5814 = [GCF of 9151,1749]/[LCM of 945,5814]= 1/610470
Therefore, the GCF of 9151/945,1749/5814 is 1/610470.
To find the highest common factor of 9151,1749, we have to find the factors of both numbers and list the highest common factor.
The factors of 9151 are 1, 9151
The factors of 1749 are 1, 3, 11, 33, 53, 159, 583, 1749
The HCF of 9151,1749 is 1.
Lets's calculate GCF of 9151,1749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9151,1749 By Matching Biggest Common Factor Method
Now, list down the factors of 9151
:1,9151
Now, list down the factors of 1749
:1,3,11,33,53,159,583,1749
Greatest Common Factor
We found the factors 9151,1749 . The biggest common factor number is the GCF number.
So the greatest common factor 9151,1749 is 1.
Lets's calculate LCM of 945,5814
| 3 | 945, 5814 |
| 3 | 315, 1938 |
| 105, 646 |
∴ So the LCM of the given numbers is 3 x 3 x 105 x 646 = 610470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/610470
Therefore, the GCF of Fractions 9151/945,1749/5814 is 1/610470
Least Common Multiple of 945,5814 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 945,5814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,5814) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(945,5814) x common factors =9 x 1 = 9
LCM(945,5814) = ( 945 × 5814 ) / 9
LCM(945,5814) = 5494230 / 9
LCM(945,5814) = 610470
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FAQs on GCF of Fractions of 9151/945, 1749/5814
1. What is the HCF of 9151,1749?
The HCF of 9151,1749 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 9151/945, 1749/5814?
Answer: GCF of Numerators as per given numbers 9151/945, 1749/5814 is
GCF of Numerators i.e. for 9151,1749 is 1
LCM of denominators i.e. for 945,5814 is 610470.
Thus, GCF of Fractions is 1/610470.Finally, GCF of Fractions for 9151/945, 1749/5814 is 1/610470.