GCF of 4607/420, 3676/2447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4607/420, 3676/2447 i.e 1/1027740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4607/420, 3676/2447.
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 4607/420,3676/2447?
Given fractions are 4607/420,3676/2447
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 4607/420,3676/2447, numerators are 4607,3676
Denominators are 420,2447
The GCF of 4607,3676 is 1 .
LCM of 420,2447 is 1027740.
The greatest common factor of 4607/420,3676/2447 = [GCF of 4607,3676]/[LCM of 420,2447]= 1/1027740
Therefore, the GCF of 4607/420,3676/2447 is 1/1027740.
To find the highest common factor of 4607,3676, we have to find the factors of both numbers and list the highest common factor.
The factors of 4607 are 1, 17, 271, 4607
The factors of 3676 are 1, 2, 4, 919, 1838, 3676
The HCF of 4607,3676 is 1.
Lets's calculate GCF of 4607,3676
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4607,3676 By Matching Biggest Common Factor Method
Now, list down the factors of 4607
:1,17,271,4607
Now, list down the factors of 3676
:1,2,4,919,1838,3676
Greatest Common Factor
We found the factors 4607,3676 . The biggest common factor number is the GCF number.
So the greatest common factor 4607,3676 is 1.
Lets's calculate LCM of 420,2447
Given numbers has no common factors except 1. So, there LCM is their product i.e 1027740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1027740
Therefore, the GCF of Fractions 4607/420,3676/2447 is 1/1027740
Least Common Multiple of 420,2447 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 420,2447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,2447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,2447) x common factors =1 x 1 = 1
LCM(420,2447) = ( 420 × 2447 ) / 1
LCM(420,2447) = 1027740 / 1
LCM(420,2447) = 1027740
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FAQs on GCF of Fractions of 4607/420, 3676/2447
1. What is the HCF of 4607,3676?
The HCF of 4607,3676 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 4607/420, 3676/2447?
Answer: GCF of Numerators as per given numbers 4607/420, 3676/2447 is
GCF of Numerators i.e. for 4607,3676 is 1
LCM of denominators i.e. for 420,2447 is 1027740.
Thus, GCF of Fractions is 1/1027740.Finally, GCF of Fractions for 4607/420, 3676/2447 is 1/1027740.