GCF of 9868/364, 5774/103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9868/364, 5774/103 i.e 2/37492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9868/364, 5774/103.
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 9868/364,5774/103?
Given fractions are 9868/364,5774/103
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 9868/364,5774/103, numerators are 9868,5774
Denominators are 364,103
The GCF of 9868,5774 is 2 .
LCM of 364,103 is 37492.
The greatest common factor of 9868/364,5774/103 = [GCF of 9868,5774]/[LCM of 364,103]= 2/37492
Therefore, the GCF of 9868/364,5774/103 is 2/37492.
To find the highest common factor of 9868,5774, we have to find the factors of both numbers and list the highest common factor.
The factors of 9868 are 1, 2, 4, 2467, 4934, 9868
The factors of 5774 are 1, 2, 2887, 5774
The HCF of 9868,5774 is 2.
Lets's calculate GCF of 9868,5774
| 2 | 9868, 5774 |
| 4934, 2887 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9868,5774 By Matching Biggest Common Factor Method
Now, list down the factors of 9868
:1,2,4,2467,4934,9868
Now, list down the factors of 5774
:1,2,2887,5774
Greatest Common Factor
We found the factors 9868,5774 . The biggest common factor number is the GCF number.
So the greatest common factor 9868,5774 is 2.
Lets's calculate LCM of 364,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 37492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37492
Therefore, the GCF of Fractions 9868/364,5774/103 is 2/37492
Least Common Multiple of 364,103 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 364,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,103) x common factors =1 x 1 = 1
LCM(364,103) = ( 364 × 103 ) / 1
LCM(364,103) = 37492 / 1
LCM(364,103) = 37492
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FAQs on GCF of Fractions of 9868/364, 5774/103
1. What is the HCF of 9868,5774?
The HCF of 9868,5774 is 2
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 9868/364, 5774/103?
Answer: GCF of Numerators as per given numbers 9868/364, 5774/103 is
GCF of Numerators i.e. for 9868,5774 is 2
LCM of denominators i.e. for 364,103 is 37492.
Thus, GCF of Fractions is 2/37492.Finally, GCF of Fractions for 9868/364, 5774/103 is 2/37492.