GCF of 8785/989, 7569/142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8785/989, 7569/142 i.e 1/140438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8785/989, 7569/142.
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 8785/989,7569/142?
Given fractions are 8785/989,7569/142
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 8785/989,7569/142, numerators are 8785,7569
Denominators are 989,142
The GCF of 8785,7569 is 1 .
LCM of 989,142 is 140438.
The greatest common factor of 8785/989,7569/142 = [GCF of 8785,7569]/[LCM of 989,142]= 1/140438
Therefore, the GCF of 8785/989,7569/142 is 1/140438.
To find the highest common factor of 8785,7569, we have to find the factors of both numbers and list the highest common factor.
The factors of 8785 are 1, 5, 7, 35, 251, 1255, 1757, 8785
The factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569
The HCF of 8785,7569 is 1.
Lets's calculate GCF of 8785,7569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8785,7569 By Matching Biggest Common Factor Method
Now, list down the factors of 8785
:1,5,7,35,251,1255,1757,8785
Now, list down the factors of 7569
:1,3,9,29,87,261,841,2523,7569
Greatest Common Factor
We found the factors 8785,7569 . The biggest common factor number is the GCF number.
So the greatest common factor 8785,7569 is 1.
Lets's calculate LCM of 989,142
Given numbers has no common factors except 1. So, there LCM is their product i.e 140438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140438
Therefore, the GCF of Fractions 8785/989,7569/142 is 1/140438
Least Common Multiple of 989,142 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 989,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,142) x common factors =1 x 1 = 1
LCM(989,142) = ( 989 × 142 ) / 1
LCM(989,142) = 140438 / 1
LCM(989,142) = 140438
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FAQs on GCF of Fractions of 8785/989, 7569/142
1. What is the HCF of 8785,7569?
The HCF of 8785,7569 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 8785/989, 7569/142?
Answer: GCF of Numerators as per given numbers 8785/989, 7569/142 is
GCF of Numerators i.e. for 8785,7569 is 1
LCM of denominators i.e. for 989,142 is 140438.
Thus, GCF of Fractions is 1/140438.Finally, GCF of Fractions for 8785/989, 7569/142 is 1/140438.