GCF of 5094/232, 5399/807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5094/232, 5399/807 i.e 1/187224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5094/232, 5399/807.
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 5094/232,5399/807?
Given fractions are 5094/232,5399/807
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 5094/232,5399/807, numerators are 5094,5399
Denominators are 232,807
The GCF of 5094,5399 is 1 .
LCM of 232,807 is 187224.
The greatest common factor of 5094/232,5399/807 = [GCF of 5094,5399]/[LCM of 232,807]= 1/187224
Therefore, the GCF of 5094/232,5399/807 is 1/187224.
To find the highest common factor of 5094,5399, we have to find the factors of both numbers and list the highest common factor.
The factors of 5094 are 1, 2, 3, 6, 9, 18, 283, 566, 849, 1698, 2547, 5094
The factors of 5399 are 1, 5399
The HCF of 5094,5399 is 1.
Lets's calculate GCF of 5094,5399
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5094,5399 By Matching Biggest Common Factor Method
Now, list down the factors of 5094
:1,2,3,6,9,18,283,566,849,1698,2547,5094
Now, list down the factors of 5399
:1,5399
Greatest Common Factor
We found the factors 5094,5399 . The biggest common factor number is the GCF number.
So the greatest common factor 5094,5399 is 1.
Lets's calculate LCM of 232,807
Given numbers has no common factors except 1. So, there LCM is their product i.e 187224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187224
Therefore, the GCF of Fractions 5094/232,5399/807 is 1/187224
Least Common Multiple of 232,807 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 232,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,807) x common factors =1 x 1 = 1
LCM(232,807) = ( 232 × 807 ) / 1
LCM(232,807) = 187224 / 1
LCM(232,807) = 187224
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FAQs on GCF of Fractions of 5094/232, 5399/807
1. What is the HCF of 5094,5399?
The HCF of 5094,5399 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 5094/232, 5399/807?
Answer: GCF of Numerators as per given numbers 5094/232, 5399/807 is
GCF of Numerators i.e. for 5094,5399 is 1
LCM of denominators i.e. for 232,807 is 187224.
Thus, GCF of Fractions is 1/187224.Finally, GCF of Fractions for 5094/232, 5399/807 is 1/187224.