GCF of 8264/516, 4219/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8264/516, 4219/149 i.e 1/76884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8264/516, 4219/149.
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 8264/516,4219/149?
Given fractions are 8264/516,4219/149
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 8264/516,4219/149, numerators are 8264,4219
Denominators are 516,149
The GCF of 8264,4219 is 1 .
LCM of 516,149 is 76884.
The greatest common factor of 8264/516,4219/149 = [GCF of 8264,4219]/[LCM of 516,149]= 1/76884
Therefore, the GCF of 8264/516,4219/149 is 1/76884.
To find the highest common factor of 8264,4219, we have to find the factors of both numbers and list the highest common factor.
The factors of 8264 are 1, 2, 4, 8, 1033, 2066, 4132, 8264
The factors of 4219 are 1, 4219
The HCF of 8264,4219 is 1.
Lets's calculate GCF of 8264,4219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8264,4219 By Matching Biggest Common Factor Method
Now, list down the factors of 8264
:1,2,4,8,1033,2066,4132,8264
Now, list down the factors of 4219
:1,4219
Greatest Common Factor
We found the factors 8264,4219 . The biggest common factor number is the GCF number.
So the greatest common factor 8264,4219 is 1.
Lets's calculate LCM of 516,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 76884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76884
Therefore, the GCF of Fractions 8264/516,4219/149 is 1/76884
Least Common Multiple of 516,149 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 516,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(516,149) x common factors =1 x 1 = 1
LCM(516,149) = ( 516 × 149 ) / 1
LCM(516,149) = 76884 / 1
LCM(516,149) = 76884
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FAQs on GCF of Fractions of 8264/516, 4219/149
1. What is the HCF of 8264,4219?
The HCF of 8264,4219 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 8264/516, 4219/149?
Answer: GCF of Numerators as per given numbers 8264/516, 4219/149 is
GCF of Numerators i.e. for 8264,4219 is 1
LCM of denominators i.e. for 516,149 is 76884.
Thus, GCF of Fractions is 1/76884.Finally, GCF of Fractions for 8264/516, 4219/149 is 1/76884.