GCF of 8291/895, 9008/2219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8291/895, 9008/2219 i.e 1/1986005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8291/895, 9008/2219.
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 8291/895,9008/2219?
Given fractions are 8291/895,9008/2219
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 8291/895,9008/2219, numerators are 8291,9008
Denominators are 895,2219
The GCF of 8291,9008 is 1 .
LCM of 895,2219 is 1986005.
The greatest common factor of 8291/895,9008/2219 = [GCF of 8291,9008]/[LCM of 895,2219]= 1/1986005
Therefore, the GCF of 8291/895,9008/2219 is 1/1986005.
To find the highest common factor of 8291,9008, we have to find the factors of both numbers and list the highest common factor.
The factors of 8291 are 1, 8291
The factors of 9008 are 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008
The HCF of 8291,9008 is 1.
Lets's calculate GCF of 8291,9008
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8291,9008 By Matching Biggest Common Factor Method
Now, list down the factors of 8291
:1,8291
Now, list down the factors of 9008
:1,2,4,8,16,563,1126,2252,4504,9008
Greatest Common Factor
We found the factors 8291,9008 . The biggest common factor number is the GCF number.
So the greatest common factor 8291,9008 is 1.
Lets's calculate LCM of 895,2219
Given numbers has no common factors except 1. So, there LCM is their product i.e 1986005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1986005
Therefore, the GCF of Fractions 8291/895,9008/2219 is 1/1986005
Least Common Multiple of 895,2219 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 895,2219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,2219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,2219) x common factors =1 x 1 = 1
LCM(895,2219) = ( 895 × 2219 ) / 1
LCM(895,2219) = 1986005 / 1
LCM(895,2219) = 1986005
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FAQs on GCF of Fractions of 8291/895, 9008/2219
1. What is the HCF of 8291,9008?
The HCF of 8291,9008 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 8291/895, 9008/2219?
Answer: GCF of Numerators as per given numbers 8291/895, 9008/2219 is
GCF of Numerators i.e. for 8291,9008 is 1
LCM of denominators i.e. for 895,2219 is 1986005.
Thus, GCF of Fractions is 1/1986005.Finally, GCF of Fractions for 8291/895, 9008/2219 is 1/1986005.