GCF of 8627/853, 9054/1923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8627/853, 9054/1923 i.e 1/1640319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8627/853, 9054/1923.
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 8627/853,9054/1923?
Given fractions are 8627/853,9054/1923
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 8627/853,9054/1923, numerators are 8627,9054
Denominators are 853,1923
The GCF of 8627,9054 is 1 .
LCM of 853,1923 is 1640319.
The greatest common factor of 8627/853,9054/1923 = [GCF of 8627,9054]/[LCM of 853,1923]= 1/1640319
Therefore, the GCF of 8627/853,9054/1923 is 1/1640319.
To find the highest common factor of 8627,9054, we have to find the factors of both numbers and list the highest common factor.
The factors of 8627 are 1, 8627
The factors of 9054 are 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054
The HCF of 8627,9054 is 1.
Lets's calculate GCF of 8627,9054
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8627,9054 By Matching Biggest Common Factor Method
Now, list down the factors of 8627
:1,8627
Now, list down the factors of 9054
:1,2,3,6,9,18,503,1006,1509,3018,4527,9054
Greatest Common Factor
We found the factors 8627,9054 . The biggest common factor number is the GCF number.
So the greatest common factor 8627,9054 is 1.
Lets's calculate LCM of 853,1923
Given numbers has no common factors except 1. So, there LCM is their product i.e 1640319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1640319
Therefore, the GCF of Fractions 8627/853,9054/1923 is 1/1640319
Least Common Multiple of 853,1923 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 853,1923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,1923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,1923) x common factors =1 x 1 = 1
LCM(853,1923) = ( 853 × 1923 ) / 1
LCM(853,1923) = 1640319 / 1
LCM(853,1923) = 1640319
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FAQs on GCF of Fractions of 8627/853, 9054/1923
1. What is the HCF of 8627,9054?
The HCF of 8627,9054 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 8627/853, 9054/1923?
Answer: GCF of Numerators as per given numbers 8627/853, 9054/1923 is
GCF of Numerators i.e. for 8627,9054 is 1
LCM of denominators i.e. for 853,1923 is 1640319.
Thus, GCF of Fractions is 1/1640319.Finally, GCF of Fractions for 8627/853, 9054/1923 is 1/1640319.