GCF of 5039/326, 3354/2780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5039/326, 3354/2780 i.e 1/453140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5039/326, 3354/2780.
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 5039/326,3354/2780?
Given fractions are 5039/326,3354/2780
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 5039/326,3354/2780, numerators are 5039,3354
Denominators are 326,2780
The GCF of 5039,3354 is 1 .
LCM of 326,2780 is 453140.
The greatest common factor of 5039/326,3354/2780 = [GCF of 5039,3354]/[LCM of 326,2780]= 1/453140
Therefore, the GCF of 5039/326,3354/2780 is 1/453140.
To find the highest common factor of 5039,3354, we have to find the factors of both numbers and list the highest common factor.
The factors of 5039 are 1, 5039
The factors of 3354 are 1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 258, 559, 1118, 1677, 3354
The HCF of 5039,3354 is 1.
Lets's calculate GCF of 5039,3354
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5039,3354 By Matching Biggest Common Factor Method
Now, list down the factors of 5039
:1,5039
Now, list down the factors of 3354
:1,2,3,6,13,26,39,43,78,86,129,258,559,1118,1677,3354
Greatest Common Factor
We found the factors 5039,3354 . The biggest common factor number is the GCF number.
So the greatest common factor 5039,3354 is 1.
Lets's calculate LCM of 326,2780
| 2 | 326, 2780 |
| 163, 1390 |
∴ So the LCM of the given numbers is 2 x 163 x 1390 = 453140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453140
Therefore, the GCF of Fractions 5039/326,3354/2780 is 1/453140
Least Common Multiple of 326,2780 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 326,2780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,2780) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,2780) x common factors =2 x 1 = 2
LCM(326,2780) = ( 326 × 2780 ) / 2
LCM(326,2780) = 906280 / 2
LCM(326,2780) = 453140
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FAQs on GCF of Fractions of 5039/326, 3354/2780
1. What is the HCF of 5039,3354?
The HCF of 5039,3354 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 5039/326, 3354/2780?
Answer: GCF of Numerators as per given numbers 5039/326, 3354/2780 is
GCF of Numerators i.e. for 5039,3354 is 1
LCM of denominators i.e. for 326,2780 is 453140.
Thus, GCF of Fractions is 1/453140.Finally, GCF of Fractions for 5039/326, 3354/2780 is 1/453140.