GCF of 4021/660, 6946/2426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4021/660, 6946/2426 i.e 1/800580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4021/660, 6946/2426.
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 4021/660,6946/2426?
Given fractions are 4021/660,6946/2426
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 4021/660,6946/2426, numerators are 4021,6946
Denominators are 660,2426
The GCF of 4021,6946 is 1 .
LCM of 660,2426 is 800580.
The greatest common factor of 4021/660,6946/2426 = [GCF of 4021,6946]/[LCM of 660,2426]= 1/800580
Therefore, the GCF of 4021/660,6946/2426 is 1/800580.
To find the highest common factor of 4021,6946, we have to find the factors of both numbers and list the highest common factor.
The factors of 4021 are 1, 4021
The factors of 6946 are 1, 2, 23, 46, 151, 302, 3473, 6946
The HCF of 4021,6946 is 1.
Lets's calculate GCF of 4021,6946
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4021,6946 By Matching Biggest Common Factor Method
Now, list down the factors of 4021
:1,4021
Now, list down the factors of 6946
:1,2,23,46,151,302,3473,6946
Greatest Common Factor
We found the factors 4021,6946 . The biggest common factor number is the GCF number.
So the greatest common factor 4021,6946 is 1.
Lets's calculate LCM of 660,2426
| 2 | 660, 2426 |
| 330, 1213 |
∴ So the LCM of the given numbers is 2 x 330 x 1213 = 800580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/800580
Therefore, the GCF of Fractions 4021/660,6946/2426 is 1/800580
Least Common Multiple of 660,2426 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 660,2426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,2426) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(660,2426) x common factors =2 x 1 = 2
LCM(660,2426) = ( 660 × 2426 ) / 2
LCM(660,2426) = 1601160 / 2
LCM(660,2426) = 800580
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FAQs on GCF of Fractions of 4021/660, 6946/2426
1. What is the HCF of 4021,6946?
The HCF of 4021,6946 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 4021/660, 6946/2426?
Answer: GCF of Numerators as per given numbers 4021/660, 6946/2426 is
GCF of Numerators i.e. for 4021,6946 is 1
LCM of denominators i.e. for 660,2426 is 800580.
Thus, GCF of Fractions is 1/800580.Finally, GCF of Fractions for 4021/660, 6946/2426 is 1/800580.