GCF of 3121/349, 6680/1661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3121/349, 6680/1661 i.e 1/579689 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3121/349, 6680/1661.
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 3121/349,6680/1661?
Given fractions are 3121/349,6680/1661
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 3121/349,6680/1661, numerators are 3121,6680
Denominators are 349,1661
The GCF of 3121,6680 is 1 .
LCM of 349,1661 is 579689.
The greatest common factor of 3121/349,6680/1661 = [GCF of 3121,6680]/[LCM of 349,1661]= 1/579689
Therefore, the GCF of 3121/349,6680/1661 is 1/579689.
To find the highest common factor of 3121,6680, we have to find the factors of both numbers and list the highest common factor.
The factors of 3121 are 1, 3121
The factors of 6680 are 1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340, 6680
The HCF of 3121,6680 is 1.
Lets's calculate GCF of 3121,6680
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3121,6680 By Matching Biggest Common Factor Method
Now, list down the factors of 3121
:1,3121
Now, list down the factors of 6680
:1,2,4,5,8,10,20,40,167,334,668,835,1336,1670,3340,6680
Greatest Common Factor
We found the factors 3121,6680 . The biggest common factor number is the GCF number.
So the greatest common factor 3121,6680 is 1.
Lets's calculate LCM of 349,1661
Given numbers has no common factors except 1. So, there LCM is their product i.e 579689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/579689
Therefore, the GCF of Fractions 3121/349,6680/1661 is 1/579689
Least Common Multiple of 349,1661 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 349,1661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,1661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,1661) x common factors =1 x 1 = 1
LCM(349,1661) = ( 349 × 1661 ) / 1
LCM(349,1661) = 579689 / 1
LCM(349,1661) = 579689
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FAQs on GCF of Fractions of 3121/349, 6680/1661
1. What is the HCF of 3121,6680?
The HCF of 3121,6680 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 3121/349, 6680/1661?
Answer: GCF of Numerators as per given numbers 3121/349, 6680/1661 is
GCF of Numerators i.e. for 3121,6680 is 1
LCM of denominators i.e. for 349,1661 is 579689.
Thus, GCF of Fractions is 1/579689.Finally, GCF of Fractions for 3121/349, 6680/1661 is 1/579689.