GCF of 2161/698, 9500/6617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2161/698, 9500/6617 i.e 1/4618666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2161/698, 9500/6617.
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 2161/698,9500/6617?
Given fractions are 2161/698,9500/6617
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 2161/698,9500/6617, numerators are 2161,9500
Denominators are 698,6617
The GCF of 2161,9500 is 1 .
LCM of 698,6617 is 4618666.
The greatest common factor of 2161/698,9500/6617 = [GCF of 2161,9500]/[LCM of 698,6617]= 1/4618666
Therefore, the GCF of 2161/698,9500/6617 is 1/4618666.
To find the highest common factor of 2161,9500, we have to find the factors of both numbers and list the highest common factor.
The factors of 2161 are 1, 2161
The factors of 9500 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500
The HCF of 2161,9500 is 1.
Lets's calculate GCF of 2161,9500
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2161,9500 By Matching Biggest Common Factor Method
Now, list down the factors of 2161
:1,2161
Now, list down the factors of 9500
:1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500
Greatest Common Factor
We found the factors 2161,9500 . The biggest common factor number is the GCF number.
So the greatest common factor 2161,9500 is 1.
Lets's calculate LCM of 698,6617
Given numbers has no common factors except 1. So, there LCM is their product i.e 4618666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4618666
Therefore, the GCF of Fractions 2161/698,9500/6617 is 1/4618666
Least Common Multiple of 698,6617 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 698,6617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,6617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(698,6617) x common factors =1 x 1 = 1
LCM(698,6617) = ( 698 × 6617 ) / 1
LCM(698,6617) = 4618666 / 1
LCM(698,6617) = 4618666
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2161/698, 9500/6617
1. What is the HCF of 2161,9500?
The HCF of 2161,9500 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 2161/698, 9500/6617?
Answer: GCF of Numerators as per given numbers 2161/698, 9500/6617 is
GCF of Numerators i.e. for 2161,9500 is 1
LCM of denominators i.e. for 698,6617 is 4618666.
Thus, GCF of Fractions is 1/4618666.Finally, GCF of Fractions for 2161/698, 9500/6617 is 1/4618666.