GCF of 4187/256, 8554/5149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4187/256, 8554/5149 i.e 1/1318144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4187/256, 8554/5149.
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 4187/256,8554/5149?
Given fractions are 4187/256,8554/5149
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 4187/256,8554/5149, numerators are 4187,8554
Denominators are 256,5149
The GCF of 4187,8554 is 1 .
LCM of 256,5149 is 1318144.
The greatest common factor of 4187/256,8554/5149 = [GCF of 4187,8554]/[LCM of 256,5149]= 1/1318144
Therefore, the GCF of 4187/256,8554/5149 is 1/1318144.
To find the highest common factor of 4187,8554, we have to find the factors of both numbers and list the highest common factor.
The factors of 4187 are 1, 53, 79, 4187
The factors of 8554 are 1, 2, 7, 13, 14, 26, 47, 91, 94, 182, 329, 611, 658, 1222, 4277, 8554
The HCF of 4187,8554 is 1.
Lets's calculate GCF of 4187,8554
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4187,8554 By Matching Biggest Common Factor Method
Now, list down the factors of 4187
:1,53,79,4187
Now, list down the factors of 8554
:1,2,7,13,14,26,47,91,94,182,329,611,658,1222,4277,8554
Greatest Common Factor
We found the factors 4187,8554 . The biggest common factor number is the GCF number.
So the greatest common factor 4187,8554 is 1.
Lets's calculate LCM of 256,5149
Given numbers has no common factors except 1. So, there LCM is their product i.e 1318144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1318144
Therefore, the GCF of Fractions 4187/256,8554/5149 is 1/1318144
Least Common Multiple of 256,5149 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 256,5149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,5149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,5149) x common factors =1 x 1 = 1
LCM(256,5149) = ( 256 × 5149 ) / 1
LCM(256,5149) = 1318144 / 1
LCM(256,5149) = 1318144
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FAQs on GCF of Fractions of 4187/256, 8554/5149
1. What is the HCF of 4187,8554?
The HCF of 4187,8554 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 4187/256, 8554/5149?
Answer: GCF of Numerators as per given numbers 4187/256, 8554/5149 is
GCF of Numerators i.e. for 4187,8554 is 1
LCM of denominators i.e. for 256,5149 is 1318144.
Thus, GCF of Fractions is 1/1318144.Finally, GCF of Fractions for 4187/256, 8554/5149 is 1/1318144.