GCF of 8806/731, 3501/790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8806/731, 3501/790 i.e 1/577490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8806/731, 3501/790.
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 8806/731,3501/790?
Given fractions are 8806/731,3501/790
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 8806/731,3501/790, numerators are 8806,3501
Denominators are 731,790
The GCF of 8806,3501 is 1 .
LCM of 731,790 is 577490.
The greatest common factor of 8806/731,3501/790 = [GCF of 8806,3501]/[LCM of 731,790]= 1/577490
Therefore, the GCF of 8806/731,3501/790 is 1/577490.
To find the highest common factor of 8806,3501, we have to find the factors of both numbers and list the highest common factor.
The factors of 8806 are 1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806
The factors of 3501 are 1, 3, 9, 389, 1167, 3501
The HCF of 8806,3501 is 1.
Lets's calculate GCF of 8806,3501
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8806,3501 By Matching Biggest Common Factor Method
Now, list down the factors of 8806
:1,2,7,14,17,34,37,74,119,238,259,518,629,1258,4403,8806
Now, list down the factors of 3501
:1,3,9,389,1167,3501
Greatest Common Factor
We found the factors 8806,3501 . The biggest common factor number is the GCF number.
So the greatest common factor 8806,3501 is 1.
Lets's calculate LCM of 731,790
Given numbers has no common factors except 1. So, there LCM is their product i.e 577490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/577490
Therefore, the GCF of Fractions 8806/731,3501/790 is 1/577490
Least Common Multiple of 731,790 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 731,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,790) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,790) x common factors =1 x 1 = 1
LCM(731,790) = ( 731 × 790 ) / 1
LCM(731,790) = 577490 / 1
LCM(731,790) = 577490
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8806/731, 3501/790
1. What is the HCF of 8806,3501?
The HCF of 8806,3501 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 8806/731, 3501/790?
Answer: GCF of Numerators as per given numbers 8806/731, 3501/790 is
GCF of Numerators i.e. for 8806,3501 is 1
LCM of denominators i.e. for 731,790 is 577490.
Thus, GCF of Fractions is 1/577490.Finally, GCF of Fractions for 8806/731, 3501/790 is 1/577490.