GCF of 5027/824, 6868/491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5027/824, 6868/491 i.e 1/404584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5027/824, 6868/491.
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 5027/824,6868/491?
Given fractions are 5027/824,6868/491
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 5027/824,6868/491, numerators are 5027,6868
Denominators are 824,491
The GCF of 5027,6868 is 1 .
LCM of 824,491 is 404584.
The greatest common factor of 5027/824,6868/491 = [GCF of 5027,6868]/[LCM of 824,491]= 1/404584
Therefore, the GCF of 5027/824,6868/491 is 1/404584.
To find the highest common factor of 5027,6868, we have to find the factors of both numbers and list the highest common factor.
The factors of 5027 are 1, 11, 457, 5027
The factors of 6868 are 1, 2, 4, 17, 34, 68, 101, 202, 404, 1717, 3434, 6868
The HCF of 5027,6868 is 1.
Lets's calculate GCF of 5027,6868
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5027,6868 By Matching Biggest Common Factor Method
Now, list down the factors of 5027
:1,11,457,5027
Now, list down the factors of 6868
:1,2,4,17,34,68,101,202,404,1717,3434,6868
Greatest Common Factor
We found the factors 5027,6868 . The biggest common factor number is the GCF number.
So the greatest common factor 5027,6868 is 1.
Lets's calculate LCM of 824,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 404584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404584
Therefore, the GCF of Fractions 5027/824,6868/491 is 1/404584
Least Common Multiple of 824,491 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 824,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(824,491) x common factors =1 x 1 = 1
LCM(824,491) = ( 824 × 491 ) / 1
LCM(824,491) = 404584 / 1
LCM(824,491) = 404584
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FAQs on GCF of Fractions of 5027/824, 6868/491
1. What is the HCF of 5027,6868?
The HCF of 5027,6868 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 5027/824, 6868/491?
Answer: GCF of Numerators as per given numbers 5027/824, 6868/491 is
GCF of Numerators i.e. for 5027,6868 is 1
LCM of denominators i.e. for 824,491 is 404584.
Thus, GCF of Fractions is 1/404584.Finally, GCF of Fractions for 5027/824, 6868/491 is 1/404584.