GCF of 3980/773, 4114/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3980/773, 4114/384 i.e 2/296832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3980/773, 4114/384.
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 3980/773,4114/384?
Given fractions are 3980/773,4114/384
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 3980/773,4114/384, numerators are 3980,4114
Denominators are 773,384
The GCF of 3980,4114 is 2 .
LCM of 773,384 is 296832.
The greatest common factor of 3980/773,4114/384 = [GCF of 3980,4114]/[LCM of 773,384]= 2/296832
Therefore, the GCF of 3980/773,4114/384 is 2/296832.
To find the highest common factor of 3980,4114, we have to find the factors of both numbers and list the highest common factor.
The factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980
The factors of 4114 are 1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114
The HCF of 3980,4114 is 2.
Lets's calculate GCF of 3980,4114
| 2 | 3980, 4114 |
| 1990, 2057 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3980,4114 By Matching Biggest Common Factor Method
Now, list down the factors of 3980
:1,2,4,5,10,20,199,398,796,995,1990,3980
Now, list down the factors of 4114
:1,2,11,17,22,34,121,187,242,374,2057,4114
Greatest Common Factor
We found the factors 3980,4114 . The biggest common factor number is the GCF number.
So the greatest common factor 3980,4114 is 2.
Lets's calculate LCM of 773,384
Given numbers has no common factors except 1. So, there LCM is their product i.e 296832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/296832
Therefore, the GCF of Fractions 3980/773,4114/384 is 2/296832
Least Common Multiple of 773,384 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 773,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,384) x common factors =1 x 1 = 1
LCM(773,384) = ( 773 × 384 ) / 1
LCM(773,384) = 296832 / 1
LCM(773,384) = 296832
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FAQs on GCF of Fractions of 3980/773, 4114/384
1. What is the HCF of 3980,4114?
The HCF of 3980,4114 is 2
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 3980/773, 4114/384?
Answer: GCF of Numerators as per given numbers 3980/773, 4114/384 is
GCF of Numerators i.e. for 3980,4114 is 2
LCM of denominators i.e. for 773,384 is 296832.
Thus, GCF of Fractions is 2/296832.Finally, GCF of Fractions for 3980/773, 4114/384 is 2/296832.