GCF of 8826/147, 2261/5645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8826/147, 2261/5645 i.e 1/829815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8826/147, 2261/5645.
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 8826/147,2261/5645?
Given fractions are 8826/147,2261/5645
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 8826/147,2261/5645, numerators are 8826,2261
Denominators are 147,5645
The GCF of 8826,2261 is 1 .
LCM of 147,5645 is 829815.
The greatest common factor of 8826/147,2261/5645 = [GCF of 8826,2261]/[LCM of 147,5645]= 1/829815
Therefore, the GCF of 8826/147,2261/5645 is 1/829815.
To find the highest common factor of 8826,2261, we have to find the factors of both numbers and list the highest common factor.
The factors of 8826 are 1, 2, 3, 6, 1471, 2942, 4413, 8826
The factors of 2261 are 1, 7, 17, 19, 119, 133, 323, 2261
The HCF of 8826,2261 is 1.
Lets's calculate GCF of 8826,2261
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8826,2261 By Matching Biggest Common Factor Method
Now, list down the factors of 8826
:1,2,3,6,1471,2942,4413,8826
Now, list down the factors of 2261
:1,7,17,19,119,133,323,2261
Greatest Common Factor
We found the factors 8826,2261 . The biggest common factor number is the GCF number.
So the greatest common factor 8826,2261 is 1.
Lets's calculate LCM of 147,5645
Given numbers has no common factors except 1. So, there LCM is their product i.e 829815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/829815
Therefore, the GCF of Fractions 8826/147,2261/5645 is 1/829815
Least Common Multiple of 147,5645 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 147,5645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,5645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(147,5645) x common factors =1 x 1 = 1
LCM(147,5645) = ( 147 × 5645 ) / 1
LCM(147,5645) = 829815 / 1
LCM(147,5645) = 829815
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8826/147, 2261/5645
1. What is the HCF of 8826,2261?
The HCF of 8826,2261 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 8826/147, 2261/5645?
Answer: GCF of Numerators as per given numbers 8826/147, 2261/5645 is
GCF of Numerators i.e. for 8826,2261 is 1
LCM of denominators i.e. for 147,5645 is 829815.
Thus, GCF of Fractions is 1/829815.Finally, GCF of Fractions for 8826/147, 2261/5645 is 1/829815.