GCF of 4117/533, 8754/4819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4117/533, 8754/4819 i.e 1/2568527 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4117/533, 8754/4819.
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 4117/533,8754/4819?
Given fractions are 4117/533,8754/4819
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 4117/533,8754/4819, numerators are 4117,8754
Denominators are 533,4819
The GCF of 4117,8754 is 1 .
LCM of 533,4819 is 2568527.
The greatest common factor of 4117/533,8754/4819 = [GCF of 4117,8754]/[LCM of 533,4819]= 1/2568527
Therefore, the GCF of 4117/533,8754/4819 is 1/2568527.
To find the highest common factor of 4117,8754, we have to find the factors of both numbers and list the highest common factor.
The factors of 4117 are 1, 23, 179, 4117
The factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754
The HCF of 4117,8754 is 1.
Lets's calculate GCF of 4117,8754
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4117,8754 By Matching Biggest Common Factor Method
Now, list down the factors of 4117
:1,23,179,4117
Now, list down the factors of 8754
:1,2,3,6,1459,2918,4377,8754
Greatest Common Factor
We found the factors 4117,8754 . The biggest common factor number is the GCF number.
So the greatest common factor 4117,8754 is 1.
Lets's calculate LCM of 533,4819
Given numbers has no common factors except 1. So, there LCM is their product i.e 2568527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2568527
Therefore, the GCF of Fractions 4117/533,8754/4819 is 1/2568527
Least Common Multiple of 533,4819 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 533,4819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,4819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,4819) x common factors =1 x 1 = 1
LCM(533,4819) = ( 533 × 4819 ) / 1
LCM(533,4819) = 2568527 / 1
LCM(533,4819) = 2568527
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FAQs on GCF of Fractions of 4117/533, 8754/4819
1. What is the HCF of 4117,8754?
The HCF of 4117,8754 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 4117/533, 8754/4819?
Answer: GCF of Numerators as per given numbers 4117/533, 8754/4819 is
GCF of Numerators i.e. for 4117,8754 is 1
LCM of denominators i.e. for 533,4819 is 2568527.
Thus, GCF of Fractions is 1/2568527.Finally, GCF of Fractions for 4117/533, 8754/4819 is 1/2568527.