GCF of 2399/203, 8792/9782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2399/203, 8792/9782 i.e 1/1985746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2399/203, 8792/9782.
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 2399/203,8792/9782?
Given fractions are 2399/203,8792/9782
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 2399/203,8792/9782, numerators are 2399,8792
Denominators are 203,9782
The GCF of 2399,8792 is 1 .
LCM of 203,9782 is 1985746.
The greatest common factor of 2399/203,8792/9782 = [GCF of 2399,8792]/[LCM of 203,9782]= 1/1985746
Therefore, the GCF of 2399/203,8792/9782 is 1/1985746.
To find the highest common factor of 2399,8792, we have to find the factors of both numbers and list the highest common factor.
The factors of 2399 are 1, 2399
The factors of 8792 are 1, 2, 4, 7, 8, 14, 28, 56, 157, 314, 628, 1099, 1256, 2198, 4396, 8792
The HCF of 2399,8792 is 1.
Lets's calculate GCF of 2399,8792
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2399,8792 By Matching Biggest Common Factor Method
Now, list down the factors of 2399
:1,2399
Now, list down the factors of 8792
:1,2,4,7,8,14,28,56,157,314,628,1099,1256,2198,4396,8792
Greatest Common Factor
We found the factors 2399,8792 . The biggest common factor number is the GCF number.
So the greatest common factor 2399,8792 is 1.
Lets's calculate LCM of 203,9782
Given numbers has no common factors except 1. So, there LCM is their product i.e 1985746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1985746
Therefore, the GCF of Fractions 2399/203,8792/9782 is 1/1985746
Least Common Multiple of 203,9782 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 203,9782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,9782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,9782) x common factors =1 x 1 = 1
LCM(203,9782) = ( 203 × 9782 ) / 1
LCM(203,9782) = 1985746 / 1
LCM(203,9782) = 1985746
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FAQs on GCF of Fractions of 2399/203, 8792/9782
1. What is the HCF of 2399,8792?
The HCF of 2399,8792 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 2399/203, 8792/9782?
Answer: GCF of Numerators as per given numbers 2399/203, 8792/9782 is
GCF of Numerators i.e. for 2399,8792 is 1
LCM of denominators i.e. for 203,9782 is 1985746.
Thus, GCF of Fractions is 1/1985746.Finally, GCF of Fractions for 2399/203, 8792/9782 is 1/1985746.