GCF of 3211/334, 4519/8912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3211/334, 4519/8912 i.e 1/1488304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3211/334, 4519/8912.
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 3211/334,4519/8912?
Given fractions are 3211/334,4519/8912
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 3211/334,4519/8912, numerators are 3211,4519
Denominators are 334,8912
The GCF of 3211,4519 is 1 .
LCM of 334,8912 is 1488304.
The greatest common factor of 3211/334,4519/8912 = [GCF of 3211,4519]/[LCM of 334,8912]= 1/1488304
Therefore, the GCF of 3211/334,4519/8912 is 1/1488304.
To find the highest common factor of 3211,4519, we have to find the factors of both numbers and list the highest common factor.
The factors of 3211 are 1, 13, 19, 169, 247, 3211
The factors of 4519 are 1, 4519
The HCF of 3211,4519 is 1.
Lets's calculate GCF of 3211,4519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3211,4519 By Matching Biggest Common Factor Method
Now, list down the factors of 3211
:1,13,19,169,247,3211
Now, list down the factors of 4519
:1,4519
Greatest Common Factor
We found the factors 3211,4519 . The biggest common factor number is the GCF number.
So the greatest common factor 3211,4519 is 1.
Lets's calculate LCM of 334,8912
| 2 | 334, 8912 |
| 167, 4456 |
∴ So the LCM of the given numbers is 2 x 167 x 4456 = 1488304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1488304
Therefore, the GCF of Fractions 3211/334,4519/8912 is 1/1488304
Least Common Multiple of 334,8912 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 334,8912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,8912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,8912) x common factors =2 x 1 = 2
LCM(334,8912) = ( 334 × 8912 ) / 2
LCM(334,8912) = 2976608 / 2
LCM(334,8912) = 1488304
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FAQs on GCF of Fractions of 3211/334, 4519/8912
1. What is the HCF of 3211,4519?
The HCF of 3211,4519 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 3211/334, 4519/8912?
Answer: GCF of Numerators as per given numbers 3211/334, 4519/8912 is
GCF of Numerators i.e. for 3211,4519 is 1
LCM of denominators i.e. for 334,8912 is 1488304.
Thus, GCF of Fractions is 1/1488304.Finally, GCF of Fractions for 3211/334, 4519/8912 is 1/1488304.