GCF of 8775/107, 8677/383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8775/107, 8677/383 i.e 1/40981 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8775/107, 8677/383.
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 8775/107,8677/383?
Given fractions are 8775/107,8677/383
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 8775/107,8677/383, numerators are 8775,8677
Denominators are 107,383
The GCF of 8775,8677 is 1 .
LCM of 107,383 is 40981.
The greatest common factor of 8775/107,8677/383 = [GCF of 8775,8677]/[LCM of 107,383]= 1/40981
Therefore, the GCF of 8775/107,8677/383 is 1/40981.
To find the highest common factor of 8775,8677, we have to find the factors of both numbers and list the highest common factor.
The factors of 8775 are 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925, 8775
The factors of 8677 are 1, 8677
The HCF of 8775,8677 is 1.
Lets's calculate GCF of 8775,8677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8775,8677 By Matching Biggest Common Factor Method
Now, list down the factors of 8775
:1,3,5,9,13,15,25,27,39,45,65,75,117,135,195,225,325,351,585,675,975,1755,2925,8775
Now, list down the factors of 8677
:1,8677
Greatest Common Factor
We found the factors 8775,8677 . The biggest common factor number is the GCF number.
So the greatest common factor 8775,8677 is 1.
Lets's calculate LCM of 107,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 40981
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40981
Therefore, the GCF of Fractions 8775/107,8677/383 is 1/40981
Least Common Multiple of 107,383 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 107,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,383) x common factors =1 x 1 = 1
LCM(107,383) = ( 107 × 383 ) / 1
LCM(107,383) = 40981 / 1
LCM(107,383) = 40981
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FAQs on GCF of Fractions of 8775/107, 8677/383
1. What is the HCF of 8775,8677?
The HCF of 8775,8677 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 8775/107, 8677/383?
Answer: GCF of Numerators as per given numbers 8775/107, 8677/383 is
GCF of Numerators i.e. for 8775,8677 is 1
LCM of denominators i.e. for 107,383 is 40981.
Thus, GCF of Fractions is 1/40981.Finally, GCF of Fractions for 8775/107, 8677/383 is 1/40981.