GCF of 1436/681, 2090/8034
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1436/681, 2090/8034 i.e 2/1823718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1436/681, 2090/8034.
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 1436/681,2090/8034?
Given fractions are 1436/681,2090/8034
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 1436/681,2090/8034, numerators are 1436,2090
Denominators are 681,8034
The GCF of 1436,2090 is 2 .
LCM of 681,8034 is 1823718.
The greatest common factor of 1436/681,2090/8034 = [GCF of 1436,2090]/[LCM of 681,8034]= 2/1823718
Therefore, the GCF of 1436/681,2090/8034 is 2/1823718.
To find the highest common factor of 1436,2090, we have to find the factors of both numbers and list the highest common factor.
The factors of 1436 are 1, 2, 4, 359, 718, 1436
The factors of 2090 are 1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045, 2090
The HCF of 1436,2090 is 2.
Lets's calculate GCF of 1436,2090
| 2 | 1436, 2090 |
| 718, 1045 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1436,2090 By Matching Biggest Common Factor Method
Now, list down the factors of 1436
:1,2,4,359,718,1436
Now, list down the factors of 2090
:1,2,5,10,11,19,22,38,55,95,110,190,209,418,1045,2090
Greatest Common Factor
We found the factors 1436,2090 . The biggest common factor number is the GCF number.
So the greatest common factor 1436,2090 is 2.
Lets's calculate LCM of 681,8034
| 3 | 681, 8034 |
| 227, 2678 |
∴ So the LCM of the given numbers is 3 x 227 x 2678 = 1823718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1823718
Therefore, the GCF of Fractions 1436/681,2090/8034 is 2/1823718
Least Common Multiple of 681,8034 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 681,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,8034) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(681,8034) x common factors =3 x 1 = 3
LCM(681,8034) = ( 681 × 8034 ) / 3
LCM(681,8034) = 5471154 / 3
LCM(681,8034) = 1823718
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FAQs on GCF of Fractions of 1436/681, 2090/8034
1. What is the HCF of 1436,2090?
The HCF of 1436,2090 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 1436/681, 2090/8034?
Answer: GCF of Numerators as per given numbers 1436/681, 2090/8034 is
GCF of Numerators i.e. for 1436,2090 is 2
LCM of denominators i.e. for 681,8034 is 1823718.
Thus, GCF of Fractions is 2/1823718.Finally, GCF of Fractions for 1436/681, 2090/8034 is 2/1823718.