GCF of 5267/103, 4033/9309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5267/103, 4033/9309 i.e 1/958827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5267/103, 4033/9309.
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 5267/103,4033/9309?
Given fractions are 5267/103,4033/9309
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 5267/103,4033/9309, numerators are 5267,4033
Denominators are 103,9309
The GCF of 5267,4033 is 1 .
LCM of 103,9309 is 958827.
The greatest common factor of 5267/103,4033/9309 = [GCF of 5267,4033]/[LCM of 103,9309]= 1/958827
Therefore, the GCF of 5267/103,4033/9309 is 1/958827.
To find the highest common factor of 5267,4033, we have to find the factors of both numbers and list the highest common factor.
The factors of 5267 are 1, 23, 229, 5267
The factors of 4033 are 1, 37, 109, 4033
The HCF of 5267,4033 is 1.
Lets's calculate GCF of 5267,4033
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5267,4033 By Matching Biggest Common Factor Method
Now, list down the factors of 5267
:1,23,229,5267
Now, list down the factors of 4033
:1,37,109,4033
Greatest Common Factor
We found the factors 5267,4033 . The biggest common factor number is the GCF number.
So the greatest common factor 5267,4033 is 1.
Lets's calculate LCM of 103,9309
Given numbers has no common factors except 1. So, there LCM is their product i.e 958827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/958827
Therefore, the GCF of Fractions 5267/103,4033/9309 is 1/958827
Least Common Multiple of 103,9309 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 103,9309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,9309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,9309) x common factors =1 x 1 = 1
LCM(103,9309) = ( 103 × 9309 ) / 1
LCM(103,9309) = 958827 / 1
LCM(103,9309) = 958827
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FAQs on GCF of Fractions of 5267/103, 4033/9309
1. What is the HCF of 5267,4033?
The HCF of 5267,4033 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 5267/103, 4033/9309?
Answer: GCF of Numerators as per given numbers 5267/103, 4033/9309 is
GCF of Numerators i.e. for 5267,4033 is 1
LCM of denominators i.e. for 103,9309 is 958827.
Thus, GCF of Fractions is 1/958827.Finally, GCF of Fractions for 5267/103, 4033/9309 is 1/958827.