GCF of 8773/765, 5232/3664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8773/765, 5232/3664 i.e 1/2802960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8773/765, 5232/3664.
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 8773/765,5232/3664?
Given fractions are 8773/765,5232/3664
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 8773/765,5232/3664, numerators are 8773,5232
Denominators are 765,3664
The GCF of 8773,5232 is 1 .
LCM of 765,3664 is 2802960.
The greatest common factor of 8773/765,5232/3664 = [GCF of 8773,5232]/[LCM of 765,3664]= 1/2802960
Therefore, the GCF of 8773/765,5232/3664 is 1/2802960.
To find the highest common factor of 8773,5232, we have to find the factors of both numbers and list the highest common factor.
The factors of 8773 are 1, 31, 283, 8773
The factors of 5232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232
The HCF of 8773,5232 is 1.
Lets's calculate GCF of 8773,5232
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8773,5232 By Matching Biggest Common Factor Method
Now, list down the factors of 8773
:1,31,283,8773
Now, list down the factors of 5232
:1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232
Greatest Common Factor
We found the factors 8773,5232 . The biggest common factor number is the GCF number.
So the greatest common factor 8773,5232 is 1.
Lets's calculate LCM of 765,3664
Given numbers has no common factors except 1. So, there LCM is their product i.e 2802960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2802960
Therefore, the GCF of Fractions 8773/765,5232/3664 is 1/2802960
Least Common Multiple of 765,3664 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 765,3664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,3664) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,3664) x common factors =1 x 1 = 1
LCM(765,3664) = ( 765 × 3664 ) / 1
LCM(765,3664) = 2802960 / 1
LCM(765,3664) = 2802960
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FAQs on GCF of Fractions of 8773/765, 5232/3664
1. What is the HCF of 8773,5232?
The HCF of 8773,5232 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 8773/765, 5232/3664?
Answer: GCF of Numerators as per given numbers 8773/765, 5232/3664 is
GCF of Numerators i.e. for 8773,5232 is 1
LCM of denominators i.e. for 765,3664 is 2802960.
Thus, GCF of Fractions is 1/2802960.Finally, GCF of Fractions for 8773/765, 5232/3664 is 1/2802960.