GCF of 6218/604, 1705/747
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6218/604, 1705/747 i.e 1/451188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6218/604, 1705/747.
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 6218/604,1705/747?
Given fractions are 6218/604,1705/747
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 6218/604,1705/747, numerators are 6218,1705
Denominators are 604,747
The GCF of 6218,1705 is 1 .
LCM of 604,747 is 451188.
The greatest common factor of 6218/604,1705/747 = [GCF of 6218,1705]/[LCM of 604,747]= 1/451188
Therefore, the GCF of 6218/604,1705/747 is 1/451188.
To find the highest common factor of 6218,1705, we have to find the factors of both numbers and list the highest common factor.
The factors of 6218 are 1, 2, 3109, 6218
The factors of 1705 are 1, 5, 11, 31, 55, 155, 341, 1705
The HCF of 6218,1705 is 1.
Lets's calculate GCF of 6218,1705
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6218,1705 By Matching Biggest Common Factor Method
Now, list down the factors of 6218
:1,2,3109,6218
Now, list down the factors of 1705
:1,5,11,31,55,155,341,1705
Greatest Common Factor
We found the factors 6218,1705 . The biggest common factor number is the GCF number.
So the greatest common factor 6218,1705 is 1.
Lets's calculate LCM of 604,747
Given numbers has no common factors except 1. So, there LCM is their product i.e 451188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/451188
Therefore, the GCF of Fractions 6218/604,1705/747 is 1/451188
Least Common Multiple of 604,747 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 604,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(604,747) x common factors =1 x 1 = 1
LCM(604,747) = ( 604 × 747 ) / 1
LCM(604,747) = 451188 / 1
LCM(604,747) = 451188
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FAQs on GCF of Fractions of 6218/604, 1705/747
1. What is the HCF of 6218,1705?
The HCF of 6218,1705 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 6218/604, 1705/747?
Answer: GCF of Numerators as per given numbers 6218/604, 1705/747 is
GCF of Numerators i.e. for 6218,1705 is 1
LCM of denominators i.e. for 604,747 is 451188.
Thus, GCF of Fractions is 1/451188.Finally, GCF of Fractions for 6218/604, 1705/747 is 1/451188.