GCF of 1880/494, 3467/9268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1880/494, 3467/9268 i.e 1/2289196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1880/494, 3467/9268.
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 1880/494,3467/9268?
Given fractions are 1880/494,3467/9268
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 1880/494,3467/9268, numerators are 1880,3467
Denominators are 494,9268
The GCF of 1880,3467 is 1 .
LCM of 494,9268 is 2289196.
The greatest common factor of 1880/494,3467/9268 = [GCF of 1880,3467]/[LCM of 494,9268]= 1/2289196
Therefore, the GCF of 1880/494,3467/9268 is 1/2289196.
To find the highest common factor of 1880,3467, we have to find the factors of both numbers and list the highest common factor.
The factors of 1880 are 1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, 940, 1880
The factors of 3467 are 1, 3467
The HCF of 1880,3467 is 1.
Lets's calculate GCF of 1880,3467
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1880,3467 By Matching Biggest Common Factor Method
Now, list down the factors of 1880
:1,2,4,5,8,10,20,40,47,94,188,235,376,470,940,1880
Now, list down the factors of 3467
:1,3467
Greatest Common Factor
We found the factors 1880,3467 . The biggest common factor number is the GCF number.
So the greatest common factor 1880,3467 is 1.
Lets's calculate LCM of 494,9268
| 2 | 494, 9268 |
| 247, 4634 |
∴ So the LCM of the given numbers is 2 x 247 x 4634 = 2289196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2289196
Therefore, the GCF of Fractions 1880/494,3467/9268 is 1/2289196
Least Common Multiple of 494,9268 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 494,9268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,9268) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(494,9268) x common factors =2 x 1 = 2
LCM(494,9268) = ( 494 × 9268 ) / 2
LCM(494,9268) = 4578392 / 2
LCM(494,9268) = 2289196
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FAQs on GCF of Fractions of 1880/494, 3467/9268
1. What is the HCF of 1880,3467?
The HCF of 1880,3467 is 1
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 1880/494, 3467/9268?
Answer: GCF of Numerators as per given numbers 1880/494, 3467/9268 is
GCF of Numerators i.e. for 1880,3467 is 1
LCM of denominators i.e. for 494,9268 is 2289196.
Thus, GCF of Fractions is 1/2289196.Finally, GCF of Fractions for 1880/494, 3467/9268 is 1/2289196.