GCF of 7507/217, 7406/3485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7507/217, 7406/3485 i.e 1/756245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7507/217, 7406/3485.
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 7507/217,7406/3485?
Given fractions are 7507/217,7406/3485
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 7507/217,7406/3485, numerators are 7507,7406
Denominators are 217,3485
The GCF of 7507,7406 is 1 .
LCM of 217,3485 is 756245.
The greatest common factor of 7507/217,7406/3485 = [GCF of 7507,7406]/[LCM of 217,3485]= 1/756245
Therefore, the GCF of 7507/217,7406/3485 is 1/756245.
To find the highest common factor of 7507,7406, we have to find the factors of both numbers and list the highest common factor.
The factors of 7507 are 1, 7507
The factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406
The HCF of 7507,7406 is 1.
Lets's calculate GCF of 7507,7406
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7507,7406 By Matching Biggest Common Factor Method
Now, list down the factors of 7507
:1,7507
Now, list down the factors of 7406
:1,2,7,14,23,46,161,322,529,1058,3703,7406
Greatest Common Factor
We found the factors 7507,7406 . The biggest common factor number is the GCF number.
So the greatest common factor 7507,7406 is 1.
Lets's calculate LCM of 217,3485
Given numbers has no common factors except 1. So, there LCM is their product i.e 756245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/756245
Therefore, the GCF of Fractions 7507/217,7406/3485 is 1/756245
Least Common Multiple of 217,3485 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 217,3485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,3485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,3485) x common factors =1 x 1 = 1
LCM(217,3485) = ( 217 × 3485 ) / 1
LCM(217,3485) = 756245 / 1
LCM(217,3485) = 756245
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FAQs on GCF of Fractions of 7507/217, 7406/3485
1. What is the HCF of 7507,7406?
The HCF of 7507,7406 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 7507/217, 7406/3485?
Answer: GCF of Numerators as per given numbers 7507/217, 7406/3485 is
GCF of Numerators i.e. for 7507,7406 is 1
LCM of denominators i.e. for 217,3485 is 756245.
Thus, GCF of Fractions is 1/756245.Finally, GCF of Fractions for 7507/217, 7406/3485 is 1/756245.