GCF of 268/491, 1413/5754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 268/491, 1413/5754 i.e 1/2825214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 268/491, 1413/5754.
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 268/491,1413/5754?
Given fractions are 268/491,1413/5754
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 268/491,1413/5754, numerators are 268,1413
Denominators are 491,5754
The GCF of 268,1413 is 1 .
LCM of 491,5754 is 2825214.
The greatest common factor of 268/491,1413/5754 = [GCF of 268,1413]/[LCM of 491,5754]= 1/2825214
Therefore, the GCF of 268/491,1413/5754 is 1/2825214.
To find the highest common factor of 268,1413, we have to find the factors of both numbers and list the highest common factor.
The factors of 268 are 1, 2, 4, 67, 134, 268
The factors of 1413 are 1, 3, 9, 157, 471, 1413
The HCF of 268,1413 is 1.
Lets's calculate GCF of 268,1413
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 268,1413 By Matching Biggest Common Factor Method
Now, list down the factors of 268
:1,2,4,67,134,268
Now, list down the factors of 1413
:1,3,9,157,471,1413
Greatest Common Factor
We found the factors 268,1413 . The biggest common factor number is the GCF number.
So the greatest common factor 268,1413 is 1.
Lets's calculate LCM of 491,5754
Given numbers has no common factors except 1. So, there LCM is their product i.e 2825214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2825214
Therefore, the GCF of Fractions 268/491,1413/5754 is 1/2825214
Least Common Multiple of 491,5754 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 491,5754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,5754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,5754) x common factors =1 x 1 = 1
LCM(491,5754) = ( 491 × 5754 ) / 1
LCM(491,5754) = 2825214 / 1
LCM(491,5754) = 2825214
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FAQs on GCF of Fractions of 268/491, 1413/5754
1. What is the HCF of 268,1413?
The HCF of 268,1413 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 268/491, 1413/5754?
Answer: GCF of Numerators as per given numbers 268/491, 1413/5754 is
GCF of Numerators i.e. for 268,1413 is 1
LCM of denominators i.e. for 491,5754 is 2825214.
Thus, GCF of Fractions is 1/2825214.Finally, GCF of Fractions for 268/491, 1413/5754 is 1/2825214.