GCF of 3473/354, 6809/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3473/354, 6809/916 i.e 1/162132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3473/354, 6809/916.
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 3473/354,6809/916?
Given fractions are 3473/354,6809/916
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 3473/354,6809/916, numerators are 3473,6809
Denominators are 354,916
The GCF of 3473,6809 is 1 .
LCM of 354,916 is 162132.
The greatest common factor of 3473/354,6809/916 = [GCF of 3473,6809]/[LCM of 354,916]= 1/162132
Therefore, the GCF of 3473/354,6809/916 is 1/162132.
To find the highest common factor of 3473,6809, we have to find the factors of both numbers and list the highest common factor.
The factors of 3473 are 1, 23, 151, 3473
The factors of 6809 are 1, 11, 619, 6809
The HCF of 3473,6809 is 1.
Lets's calculate GCF of 3473,6809
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3473,6809 By Matching Biggest Common Factor Method
Now, list down the factors of 3473
:1,23,151,3473
Now, list down the factors of 6809
:1,11,619,6809
Greatest Common Factor
We found the factors 3473,6809 . The biggest common factor number is the GCF number.
So the greatest common factor 3473,6809 is 1.
Lets's calculate LCM of 354,916
| 2 | 354, 916 |
| 177, 458 |
∴ So the LCM of the given numbers is 2 x 177 x 458 = 162132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162132
Therefore, the GCF of Fractions 3473/354,6809/916 is 1/162132
Least Common Multiple of 354,916 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 354,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,916) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,916) x common factors =2 x 1 = 2
LCM(354,916) = ( 354 × 916 ) / 2
LCM(354,916) = 324264 / 2
LCM(354,916) = 162132
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FAQs on GCF of Fractions of 3473/354, 6809/916
1. What is the HCF of 3473,6809?
The HCF of 3473,6809 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 3473/354, 6809/916?
Answer: GCF of Numerators as per given numbers 3473/354, 6809/916 is
GCF of Numerators i.e. for 3473,6809 is 1
LCM of denominators i.e. for 354,916 is 162132.
Thus, GCF of Fractions is 1/162132.Finally, GCF of Fractions for 3473/354, 6809/916 is 1/162132.