GCF of 6583/61, 3667/139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6583/61, 3667/139 i.e 1/8479 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6583/61, 3667/139.
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 6583/61,3667/139?
Given fractions are 6583/61,3667/139
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 6583/61,3667/139, numerators are 6583,3667
Denominators are 61,139
The GCF of 6583,3667 is 1 .
LCM of 61,139 is 8479.
The greatest common factor of 6583/61,3667/139 = [GCF of 6583,3667]/[LCM of 61,139]= 1/8479
Therefore, the GCF of 6583/61,3667/139 is 1/8479.
To find the highest common factor of 6583,3667, we have to find the factors of both numbers and list the highest common factor.
The factors of 6583 are 1, 29, 227, 6583
The factors of 3667 are 1, 19, 193, 3667
The HCF of 6583,3667 is 1.
Lets's calculate GCF of 6583,3667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6583,3667 By Matching Biggest Common Factor Method
Now, list down the factors of 6583
:1,29,227,6583
Now, list down the factors of 3667
:1,19,193,3667
Greatest Common Factor
We found the factors 6583,3667 . The biggest common factor number is the GCF number.
So the greatest common factor 6583,3667 is 1.
Lets's calculate LCM of 61,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 8479
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8479
Therefore, the GCF of Fractions 6583/61,3667/139 is 1/8479
Least Common Multiple of 61,139 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 61,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,139) x common factors =1 x 1 = 1
LCM(61,139) = ( 61 × 139 ) / 1
LCM(61,139) = 8479 / 1
LCM(61,139) = 8479
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FAQs on GCF of Fractions of 6583/61, 3667/139
1. What is the HCF of 6583,3667?
The HCF of 6583,3667 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 6583/61, 3667/139?
Answer: GCF of Numerators as per given numbers 6583/61, 3667/139 is
GCF of Numerators i.e. for 6583,3667 is 1
LCM of denominators i.e. for 61,139 is 8479.
Thus, GCF of Fractions is 1/8479.Finally, GCF of Fractions for 6583/61, 3667/139 is 1/8479.