GCF of 290/104, 2114/4927
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/104, 2114/4927 i.e 2/39416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/104, 2114/4927.
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 290/104,2114/4927?
Given fractions are 290/104,2114/4927
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 290/104,2114/4927, numerators are 290,2114
Denominators are 104,4927
The GCF of 290,2114 is 2 .
LCM of 104,4927 is 39416.
The greatest common factor of 290/104,2114/4927 = [GCF of 290,2114]/[LCM of 104,4927]= 2/39416
Therefore, the GCF of 290/104,2114/4927 is 2/39416.
To find the highest common factor of 290,2114, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 2114 are 1, 2, 7, 14, 151, 302, 1057, 2114
The HCF of 290,2114 is 2.
Lets's calculate GCF of 290,2114
| 2 | 290, 2114 |
| 145, 1057 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 290,2114 By Matching Biggest Common Factor Method
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 2114
:1,2,7,14,151,302,1057,2114
Greatest Common Factor
We found the factors 290,2114 . The biggest common factor number is the GCF number.
So the greatest common factor 290,2114 is 2.
Lets's calculate LCM of 104,4927
| 13 | 104, 4927 |
| 8, 379 |
∴ So the LCM of the given numbers is 13 x 8 x 379 = 39416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39416
Therefore, the GCF of Fractions 290/104,2114/4927 is 2/39416
Least Common Multiple of 104,4927 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 104,4927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,4927) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(104,4927) x common factors =13 x 1 = 13
LCM(104,4927) = ( 104 × 4927 ) / 13
LCM(104,4927) = 512408 / 13
LCM(104,4927) = 39416
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FAQs on GCF of Fractions of 290/104, 2114/4927
1. What is the HCF of 290,2114?
The HCF of 290,2114 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 290/104, 2114/4927?
Answer: GCF of Numerators as per given numbers 290/104, 2114/4927 is
GCF of Numerators i.e. for 290,2114 is 2
LCM of denominators i.e. for 104,4927 is 39416.
Thus, GCF of Fractions is 2/39416.Finally, GCF of Fractions for 290/104, 2114/4927 is 2/39416.