GCF of 290/382, 680/238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/382, 680/238 i.e 10/45458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/382, 680/238.
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 290/382,680/238?
Given fractions are 290/382,680/238
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 290/382,680/238, numerators are 290,680
Denominators are 382,238
The GCF of 290,680 is 10 .
LCM of 382,238 is 45458.
The greatest common factor of 290/382,680/238 = [GCF of 290,680]/[LCM of 382,238]= 10/45458
Therefore, the GCF of 290/382,680/238 is 10/45458.
To find the highest common factor of 290,680, 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 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
The HCF of 290,680 is 10.
Lets's calculate GCF of 290,680
| 2 | 290, 680 |
| 5 | 145, 340 |
| 29, 68 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 290,680 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 680
:1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 290,680 . The biggest common factor number is the GCF number.
So the greatest common factor 290,680 is 10.
Lets's calculate LCM of 382,238
| 2 | 382, 238 |
| 191, 119 |
∴ So the LCM of the given numbers is 2 x 191 x 119 = 45458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/45458
Therefore, the GCF of Fractions 290/382,680/238 is 10/45458
Least Common Multiple of 382,238 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 382,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,238) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,238) x common factors =2 x 1 = 2
LCM(382,238) = ( 382 × 238 ) / 2
LCM(382,238) = 90916 / 2
LCM(382,238) = 45458
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FAQs on GCF of Fractions of 290/382, 680/238
1. What is the HCF of 290,680?
The HCF of 290,680 is 10
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 290/382, 680/238?
Answer: GCF of Numerators as per given numbers 290/382, 680/238 is
GCF of Numerators i.e. for 290,680 is 10
LCM of denominators i.e. for 382,238 is 45458.
Thus, GCF of Fractions is 10/45458.Finally, GCF of Fractions for 290/382, 680/238 is 10/45458.