GCF of 9275/173, 5767/861
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9275/173, 5767/861 i.e 1/148953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9275/173, 5767/861.
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 9275/173,5767/861?
Given fractions are 9275/173,5767/861
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 9275/173,5767/861, numerators are 9275,5767
Denominators are 173,861
The GCF of 9275,5767 is 1 .
LCM of 173,861 is 148953.
The greatest common factor of 9275/173,5767/861 = [GCF of 9275,5767]/[LCM of 173,861]= 1/148953
Therefore, the GCF of 9275/173,5767/861 is 1/148953.
To find the highest common factor of 9275,5767, we have to find the factors of both numbers and list the highest common factor.
The factors of 9275 are 1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855, 9275
The factors of 5767 are 1, 73, 79, 5767
The HCF of 9275,5767 is 1.
Lets's calculate GCF of 9275,5767
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9275,5767 By Matching Biggest Common Factor Method
Now, list down the factors of 9275
:1,5,7,25,35,53,175,265,371,1325,1855,9275
Now, list down the factors of 5767
:1,73,79,5767
Greatest Common Factor
We found the factors 9275,5767 . The biggest common factor number is the GCF number.
So the greatest common factor 9275,5767 is 1.
Lets's calculate LCM of 173,861
Given numbers has no common factors except 1. So, there LCM is their product i.e 148953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148953
Therefore, the GCF of Fractions 9275/173,5767/861 is 1/148953
Least Common Multiple of 173,861 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 173,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,861) x common factors =1 x 1 = 1
LCM(173,861) = ( 173 × 861 ) / 1
LCM(173,861) = 148953 / 1
LCM(173,861) = 148953
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FAQs on GCF of Fractions of 9275/173, 5767/861
1. What is the HCF of 9275,5767?
The HCF of 9275,5767 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 9275/173, 5767/861?
Answer: GCF of Numerators as per given numbers 9275/173, 5767/861 is
GCF of Numerators i.e. for 9275,5767 is 1
LCM of denominators i.e. for 173,861 is 148953.
Thus, GCF of Fractions is 1/148953.Finally, GCF of Fractions for 9275/173, 5767/861 is 1/148953.