GCF of 2404/123, 3978/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2404/123, 3978/160 i.e 2/19680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2404/123, 3978/160.
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 2404/123,3978/160?
Given fractions are 2404/123,3978/160
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 2404/123,3978/160, numerators are 2404,3978
Denominators are 123,160
The GCF of 2404,3978 is 2 .
LCM of 123,160 is 19680.
The greatest common factor of 2404/123,3978/160 = [GCF of 2404,3978]/[LCM of 123,160]= 2/19680
Therefore, the GCF of 2404/123,3978/160 is 2/19680.
To find the highest common factor of 2404,3978, we have to find the factors of both numbers and list the highest common factor.
The factors of 2404 are 1, 2, 4, 601, 1202, 2404
The factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978
The HCF of 2404,3978 is 2.
Lets's calculate GCF of 2404,3978
| 2 | 2404, 3978 |
| 1202, 1989 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2404,3978 By Matching Biggest Common Factor Method
Now, list down the factors of 2404
:1,2,4,601,1202,2404
Now, list down the factors of 3978
:1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978
Greatest Common Factor
We found the factors 2404,3978 . The biggest common factor number is the GCF number.
So the greatest common factor 2404,3978 is 2.
Lets's calculate LCM of 123,160
Given numbers has no common factors except 1. So, there LCM is their product i.e 19680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19680
Therefore, the GCF of Fractions 2404/123,3978/160 is 2/19680
Least Common Multiple of 123,160 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 123,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,160) x common factors =1 x 1 = 1
LCM(123,160) = ( 123 × 160 ) / 1
LCM(123,160) = 19680 / 1
LCM(123,160) = 19680
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FAQs on GCF of Fractions of 2404/123, 3978/160
1. What is the HCF of 2404,3978?
The HCF of 2404,3978 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 2404/123, 3978/160?
Answer: GCF of Numerators as per given numbers 2404/123, 3978/160 is
GCF of Numerators i.e. for 2404,3978 is 2
LCM of denominators i.e. for 123,160 is 19680.
Thus, GCF of Fractions is 2/19680.Finally, GCF of Fractions for 2404/123, 3978/160 is 2/19680.