GCF of 7508/305, 5005/6212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7508/305, 5005/6212 i.e 1/1894660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7508/305, 5005/6212.
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 7508/305,5005/6212?
Given fractions are 7508/305,5005/6212
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 7508/305,5005/6212, numerators are 7508,5005
Denominators are 305,6212
The GCF of 7508,5005 is 1 .
LCM of 305,6212 is 1894660.
The greatest common factor of 7508/305,5005/6212 = [GCF of 7508,5005]/[LCM of 305,6212]= 1/1894660
Therefore, the GCF of 7508/305,5005/6212 is 1/1894660.
To find the highest common factor of 7508,5005, we have to find the factors of both numbers and list the highest common factor.
The factors of 7508 are 1, 2, 4, 1877, 3754, 7508
The factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005
The HCF of 7508,5005 is 1.
Lets's calculate GCF of 7508,5005
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7508,5005 By Matching Biggest Common Factor Method
Now, list down the factors of 7508
:1,2,4,1877,3754,7508
Now, list down the factors of 5005
:1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005
Greatest Common Factor
We found the factors 7508,5005 . The biggest common factor number is the GCF number.
So the greatest common factor 7508,5005 is 1.
Lets's calculate LCM of 305,6212
Given numbers has no common factors except 1. So, there LCM is their product i.e 1894660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1894660
Therefore, the GCF of Fractions 7508/305,5005/6212 is 1/1894660
Least Common Multiple of 305,6212 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 305,6212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,6212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,6212) x common factors =1 x 1 = 1
LCM(305,6212) = ( 305 × 6212 ) / 1
LCM(305,6212) = 1894660 / 1
LCM(305,6212) = 1894660
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FAQs on GCF of Fractions of 7508/305, 5005/6212
1. What is the HCF of 7508,5005?
The HCF of 7508,5005 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 7508/305, 5005/6212?
Answer: GCF of Numerators as per given numbers 7508/305, 5005/6212 is
GCF of Numerators i.e. for 7508,5005 is 1
LCM of denominators i.e. for 305,6212 is 1894660.
Thus, GCF of Fractions is 1/1894660.Finally, GCF of Fractions for 7508/305, 5005/6212 is 1/1894660.