GCF of 2754/891, 9575/7589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2754/891, 9575/7589 i.e 1/6761799 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2754/891, 9575/7589.
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 2754/891,9575/7589?
Given fractions are 2754/891,9575/7589
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 2754/891,9575/7589, numerators are 2754,9575
Denominators are 891,7589
The GCF of 2754,9575 is 1 .
LCM of 891,7589 is 6761799.
The greatest common factor of 2754/891,9575/7589 = [GCF of 2754,9575]/[LCM of 891,7589]= 1/6761799
Therefore, the GCF of 2754/891,9575/7589 is 1/6761799.
To find the highest common factor of 2754,9575, we have to find the factors of both numbers and list the highest common factor.
The factors of 2754 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 306, 459, 918, 1377, 2754
The factors of 9575 are 1, 5, 25, 383, 1915, 9575
The HCF of 2754,9575 is 1.
Lets's calculate GCF of 2754,9575
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2754,9575 By Matching Biggest Common Factor Method
Now, list down the factors of 2754
:1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,306,459,918,1377,2754
Now, list down the factors of 9575
:1,5,25,383,1915,9575
Greatest Common Factor
We found the factors 2754,9575 . The biggest common factor number is the GCF number.
So the greatest common factor 2754,9575 is 1.
Lets's calculate LCM of 891,7589
Given numbers has no common factors except 1. So, there LCM is their product i.e 6761799
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6761799
Therefore, the GCF of Fractions 2754/891,9575/7589 is 1/6761799
Least Common Multiple of 891,7589 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 891,7589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,7589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(891,7589) x common factors =1 x 1 = 1
LCM(891,7589) = ( 891 × 7589 ) / 1
LCM(891,7589) = 6761799 / 1
LCM(891,7589) = 6761799
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FAQs on GCF of Fractions of 2754/891, 9575/7589
1. What is the HCF of 2754,9575?
The HCF of 2754,9575 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 2754/891, 9575/7589?
Answer: GCF of Numerators as per given numbers 2754/891, 9575/7589 is
GCF of Numerators i.e. for 2754,9575 is 1
LCM of denominators i.e. for 891,7589 is 6761799.
Thus, GCF of Fractions is 1/6761799.Finally, GCF of Fractions for 2754/891, 9575/7589 is 1/6761799.