GCF of 7045/302, 5491/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7045/302, 5491/217 i.e 1/65534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7045/302, 5491/217.
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 7045/302,5491/217?
Given fractions are 7045/302,5491/217
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 7045/302,5491/217, numerators are 7045,5491
Denominators are 302,217
The GCF of 7045,5491 is 1 .
LCM of 302,217 is 65534.
The greatest common factor of 7045/302,5491/217 = [GCF of 7045,5491]/[LCM of 302,217]= 1/65534
Therefore, the GCF of 7045/302,5491/217 is 1/65534.
To find the highest common factor of 7045,5491, we have to find the factors of both numbers and list the highest common factor.
The factors of 7045 are 1, 5, 1409, 7045
The factors of 5491 are 1, 17, 19, 289, 323, 5491
The HCF of 7045,5491 is 1.
Lets's calculate GCF of 7045,5491
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7045,5491 By Matching Biggest Common Factor Method
Now, list down the factors of 7045
:1,5,1409,7045
Now, list down the factors of 5491
:1,17,19,289,323,5491
Greatest Common Factor
We found the factors 7045,5491 . The biggest common factor number is the GCF number.
So the greatest common factor 7045,5491 is 1.
Lets's calculate LCM of 302,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 65534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65534
Therefore, the GCF of Fractions 7045/302,5491/217 is 1/65534
Least Common Multiple of 302,217 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 302,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,217) x common factors =1 x 1 = 1
LCM(302,217) = ( 302 × 217 ) / 1
LCM(302,217) = 65534 / 1
LCM(302,217) = 65534
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FAQs on GCF of Fractions of 7045/302, 5491/217
1. What is the HCF of 7045,5491?
The HCF of 7045,5491 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 7045/302, 5491/217?
Answer: GCF of Numerators as per given numbers 7045/302, 5491/217 is
GCF of Numerators i.e. for 7045,5491 is 1
LCM of denominators i.e. for 302,217 is 65534.
Thus, GCF of Fractions is 1/65534.Finally, GCF of Fractions for 7045/302, 5491/217 is 1/65534.