GCF of 8674/741, 5209/295
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8674/741, 5209/295 i.e 1/218595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8674/741, 5209/295.
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 8674/741,5209/295?
Given fractions are 8674/741,5209/295
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 8674/741,5209/295, numerators are 8674,5209
Denominators are 741,295
The GCF of 8674,5209 is 1 .
LCM of 741,295 is 218595.
The greatest common factor of 8674/741,5209/295 = [GCF of 8674,5209]/[LCM of 741,295]= 1/218595
Therefore, the GCF of 8674/741,5209/295 is 1/218595.
To find the highest common factor of 8674,5209, we have to find the factors of both numbers and list the highest common factor.
The factors of 8674 are 1, 2, 4337, 8674
The factors of 5209 are 1, 5209
The HCF of 8674,5209 is 1.
Lets's calculate GCF of 8674,5209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8674,5209 By Matching Biggest Common Factor Method
Now, list down the factors of 8674
:1,2,4337,8674
Now, list down the factors of 5209
:1,5209
Greatest Common Factor
We found the factors 8674,5209 . The biggest common factor number is the GCF number.
So the greatest common factor 8674,5209 is 1.
Lets's calculate LCM of 741,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 218595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218595
Therefore, the GCF of Fractions 8674/741,5209/295 is 1/218595
Least Common Multiple of 741,295 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 741,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(741,295) x common factors =1 x 1 = 1
LCM(741,295) = ( 741 × 295 ) / 1
LCM(741,295) = 218595 / 1
LCM(741,295) = 218595
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FAQs on GCF of Fractions of 8674/741, 5209/295
1. What is the HCF of 8674,5209?
The HCF of 8674,5209 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 8674/741, 5209/295?
Answer: GCF of Numerators as per given numbers 8674/741, 5209/295 is
GCF of Numerators i.e. for 8674,5209 is 1
LCM of denominators i.e. for 741,295 is 218595.
Thus, GCF of Fractions is 1/218595.Finally, GCF of Fractions for 8674/741, 5209/295 is 1/218595.