GCF of 6670/302, 1683/123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6670/302, 1683/123 i.e 1/37146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6670/302, 1683/123.
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 6670/302,1683/123?
Given fractions are 6670/302,1683/123
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 6670/302,1683/123, numerators are 6670,1683
Denominators are 302,123
The GCF of 6670,1683 is 1 .
LCM of 302,123 is 37146.
The greatest common factor of 6670/302,1683/123 = [GCF of 6670,1683]/[LCM of 302,123]= 1/37146
Therefore, the GCF of 6670/302,1683/123 is 1/37146.
To find the highest common factor of 6670,1683, we have to find the factors of both numbers and list the highest common factor.
The factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
The factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683
The HCF of 6670,1683 is 1.
Lets's calculate GCF of 6670,1683
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6670,1683 By Matching Biggest Common Factor Method
Now, list down the factors of 6670
:1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Now, list down the factors of 1683
:1,3,9,11,17,33,51,99,153,187,561,1683
Greatest Common Factor
We found the factors 6670,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 6670,1683 is 1.
Lets's calculate LCM of 302,123
Given numbers has no common factors except 1. So, there LCM is their product i.e 37146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37146
Therefore, the GCF of Fractions 6670/302,1683/123 is 1/37146
Least Common Multiple of 302,123 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 302,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,123) x common factors =1 x 1 = 1
LCM(302,123) = ( 302 × 123 ) / 1
LCM(302,123) = 37146 / 1
LCM(302,123) = 37146
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FAQs on GCF of Fractions of 6670/302, 1683/123
1. What is the HCF of 6670,1683?
The HCF of 6670,1683 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 6670/302, 1683/123?
Answer: GCF of Numerators as per given numbers 6670/302, 1683/123 is
GCF of Numerators i.e. for 6670,1683 is 1
LCM of denominators i.e. for 302,123 is 37146.
Thus, GCF of Fractions is 1/37146.Finally, GCF of Fractions for 6670/302, 1683/123 is 1/37146.