GCF of 5293/256, 8246/8291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5293/256, 8246/8291 i.e 1/2122496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5293/256, 8246/8291.
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 5293/256,8246/8291?
Given fractions are 5293/256,8246/8291
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 5293/256,8246/8291, numerators are 5293,8246
Denominators are 256,8291
The GCF of 5293,8246 is 1 .
LCM of 256,8291 is 2122496.
The greatest common factor of 5293/256,8246/8291 = [GCF of 5293,8246]/[LCM of 256,8291]= 1/2122496
Therefore, the GCF of 5293/256,8246/8291 is 1/2122496.
To find the highest common factor of 5293,8246, we have to find the factors of both numbers and list the highest common factor.
The factors of 5293 are 1, 67, 79, 5293
The factors of 8246 are 1, 2, 7, 14, 19, 31, 38, 62, 133, 217, 266, 434, 589, 1178, 4123, 8246
The HCF of 5293,8246 is 1.
Lets's calculate GCF of 5293,8246
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5293,8246 By Matching Biggest Common Factor Method
Now, list down the factors of 5293
:1,67,79,5293
Now, list down the factors of 8246
:1,2,7,14,19,31,38,62,133,217,266,434,589,1178,4123,8246
Greatest Common Factor
We found the factors 5293,8246 . The biggest common factor number is the GCF number.
So the greatest common factor 5293,8246 is 1.
Lets's calculate LCM of 256,8291
Given numbers has no common factors except 1. So, there LCM is their product i.e 2122496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2122496
Therefore, the GCF of Fractions 5293/256,8246/8291 is 1/2122496
Least Common Multiple of 256,8291 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 256,8291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,8291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,8291) x common factors =1 x 1 = 1
LCM(256,8291) = ( 256 × 8291 ) / 1
LCM(256,8291) = 2122496 / 1
LCM(256,8291) = 2122496
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FAQs on GCF of Fractions of 5293/256, 8246/8291
1. What is the HCF of 5293,8246?
The HCF of 5293,8246 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 5293/256, 8246/8291?
Answer: GCF of Numerators as per given numbers 5293/256, 8246/8291 is
GCF of Numerators i.e. for 5293,8246 is 1
LCM of denominators i.e. for 256,8291 is 2122496.
Thus, GCF of Fractions is 1/2122496.Finally, GCF of Fractions for 5293/256, 8246/8291 is 1/2122496.