GCF of 615/547, 5518/9449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 615/547, 5518/9449 i.e 1/5168603 easily. The following is the detailed procedure to determine the greatest common factor of fractions 615/547, 5518/9449.
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 615/547,5518/9449?
Given fractions are 615/547,5518/9449
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 615/547,5518/9449, numerators are 615,5518
Denominators are 547,9449
The GCF of 615,5518 is 1 .
LCM of 547,9449 is 5168603.
The greatest common factor of 615/547,5518/9449 = [GCF of 615,5518]/[LCM of 547,9449]= 1/5168603
Therefore, the GCF of 615/547,5518/9449 is 1/5168603.
To find the highest common factor of 615,5518, we have to find the factors of both numbers and list the highest common factor.
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The factors of 5518 are 1, 2, 31, 62, 89, 178, 2759, 5518
The HCF of 615,5518 is 1.
Lets's calculate GCF of 615,5518
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 615,5518 By Matching Biggest Common Factor Method
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Now, list down the factors of 5518
:1,2,31,62,89,178,2759,5518
Greatest Common Factor
We found the factors 615,5518 . The biggest common factor number is the GCF number.
So the greatest common factor 615,5518 is 1.
Lets's calculate LCM of 547,9449
Given numbers has no common factors except 1. So, there LCM is their product i.e 5168603
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5168603
Therefore, the GCF of Fractions 615/547,5518/9449 is 1/5168603
Least Common Multiple of 547,9449 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 547,9449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,9449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,9449) x common factors =1 x 1 = 1
LCM(547,9449) = ( 547 × 9449 ) / 1
LCM(547,9449) = 5168603 / 1
LCM(547,9449) = 5168603
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FAQs on GCF of Fractions of 615/547, 5518/9449
1. What is the HCF of 615,5518?
The HCF of 615,5518 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 615/547, 5518/9449?
Answer: GCF of Numerators as per given numbers 615/547, 5518/9449 is
GCF of Numerators i.e. for 615,5518 is 1
LCM of denominators i.e. for 547,9449 is 5168603.
Thus, GCF of Fractions is 1/5168603.Finally, GCF of Fractions for 615/547, 5518/9449 is 1/5168603.