GCF of 3089/13, 8116/700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3089/13, 8116/700 i.e 1/9100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3089/13, 8116/700.
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 3089/13,8116/700?
Given fractions are 3089/13,8116/700
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 3089/13,8116/700, numerators are 3089,8116
Denominators are 13,700
The GCF of 3089,8116 is 1 .
LCM of 13,700 is 9100.
The greatest common factor of 3089/13,8116/700 = [GCF of 3089,8116]/[LCM of 13,700]= 1/9100
Therefore, the GCF of 3089/13,8116/700 is 1/9100.
To find the highest common factor of 3089,8116, we have to find the factors of both numbers and list the highest common factor.
The factors of 3089 are 1, 3089
The factors of 8116 are 1, 2, 4, 2029, 4058, 8116
The HCF of 3089,8116 is 1.
Lets's calculate GCF of 3089,8116
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3089,8116 By Matching Biggest Common Factor Method
Now, list down the factors of 3089
:1,3089
Now, list down the factors of 8116
:1,2,4,2029,4058,8116
Greatest Common Factor
We found the factors 3089,8116 . The biggest common factor number is the GCF number.
So the greatest common factor 3089,8116 is 1.
Lets's calculate LCM of 13,700
Given numbers has no common factors except 1. So, there LCM is their product i.e 9100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9100
Therefore, the GCF of Fractions 3089/13,8116/700 is 1/9100
Least Common Multiple of 13,700 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 13,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,700) x common factors =1 x 1 = 1
LCM(13,700) = ( 13 × 700 ) / 1
LCM(13,700) = 9100 / 1
LCM(13,700) = 9100
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FAQs on GCF of Fractions of 3089/13, 8116/700
1. What is the HCF of 3089,8116?
The HCF of 3089,8116 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 3089/13, 8116/700?
Answer: GCF of Numerators as per given numbers 3089/13, 8116/700 is
GCF of Numerators i.e. for 3089,8116 is 1
LCM of denominators i.e. for 13,700 is 9100.
Thus, GCF of Fractions is 1/9100.Finally, GCF of Fractions for 3089/13, 8116/700 is 1/9100.