GCF of 67/40, 383/87, 347/587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 67/40, 383/87, 347/587 i.e 1/2042760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/40, 383/87, 347/587.
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 67/40,383/87,347/587?
Given fractions are 67/40,383/87,347/587
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 67/40,383/87,347/587, numerators are 67,383,347
Denominators are 40,87,587
The GCF of 67,383,347 is 1 .
LCM of 40,87,587 is 2042760.
The greatest common factor of 67/40,383/87,347/587 = [GCF of 67,383,347]/[LCM of 40,87,587]= 1/2042760
Therefore, the GCF of 67/40,383/87,347/587 is 1/2042760.
To find the highest common factor of 67,383,347, we have to find the factors of both numbers and list the highest common factor.
The factors of 67 are 1, 67
The factors of 383 are 1, 383
The factors of 347 are 1, 347
The HCF of 67,383,347 is 1.
Lets's calculate GCF of 67,383,347
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 67,383,347 By Matching Biggest Common Factor Method
Now, list down the factors of 67
:1,67
Now, list down the factors of 383
:1,383
Now, list down the factors of 347
:1,347
Greatest Common Factor
We found the factors 67,383,347 . The biggest common factor number is the GCF number.
So the greatest common factor 67,383,347 is 1.
Lets's calculate LCM of 40,87,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 2042760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2042760
Therefore, the GCF of Fractions 67/40,383/87,347/587 is 1/2042760
Least Common Multiple of 40,87,587 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 40,87,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,87,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,87,587) x common factors =1 x 1 = 1
LCM(40,87,587) = ( 40 × 87 × 587 ) / 1
LCM(40,87,587) = 2042760 / 1
LCM(40,87,587) = 2042760
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FAQs on GCF of Fractions of 67/40, 383/87, 347/587
1. What is the HCF of 67,383,347?
The HCF of 67,383,347 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 67/40, 383/87, 347/587?
Answer: GCF of Numerators as per given numbers 67/40, 383/87, 347/587 is
GCF of Numerators i.e. for 67,383,347 is 1
LCM of denominators i.e. for 40,87,587 is 2042760.
Thus, GCF of Fractions is 1/2042760.Finally, GCF of Fractions for 67/40, 383/87, 347/587 is 1/2042760.