GCF of 2809/782, 3078/5046
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2809/782, 3078/5046 i.e 1/1972986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2809/782, 3078/5046.
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 2809/782,3078/5046?
Given fractions are 2809/782,3078/5046
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 2809/782,3078/5046, numerators are 2809,3078
Denominators are 782,5046
The GCF of 2809,3078 is 1 .
LCM of 782,5046 is 1972986.
The greatest common factor of 2809/782,3078/5046 = [GCF of 2809,3078]/[LCM of 782,5046]= 1/1972986
Therefore, the GCF of 2809/782,3078/5046 is 1/1972986.
To find the highest common factor of 2809,3078, we have to find the factors of both numbers and list the highest common factor.
The factors of 2809 are 1, 53, 2809
The factors of 3078 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 513, 1026, 1539, 3078
The HCF of 2809,3078 is 1.
Lets's calculate GCF of 2809,3078
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2809,3078 By Matching Biggest Common Factor Method
Now, list down the factors of 2809
:1,53,2809
Now, list down the factors of 3078
:1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,342,513,1026,1539,3078
Greatest Common Factor
We found the factors 2809,3078 . The biggest common factor number is the GCF number.
So the greatest common factor 2809,3078 is 1.
Lets's calculate LCM of 782,5046
| 2 | 782, 5046 |
| 391, 2523 |
∴ So the LCM of the given numbers is 2 x 391 x 2523 = 1972986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1972986
Therefore, the GCF of Fractions 2809/782,3078/5046 is 1/1972986
Least Common Multiple of 782,5046 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 782,5046 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,5046) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(782,5046) x common factors =2 x 1 = 2
LCM(782,5046) = ( 782 × 5046 ) / 2
LCM(782,5046) = 3945972 / 2
LCM(782,5046) = 1972986
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FAQs on GCF of Fractions of 2809/782, 3078/5046
1. What is the HCF of 2809,3078?
The HCF of 2809,3078 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 2809/782, 3078/5046?
Answer: GCF of Numerators as per given numbers 2809/782, 3078/5046 is
GCF of Numerators i.e. for 2809,3078 is 1
LCM of denominators i.e. for 782,5046 is 1972986.
Thus, GCF of Fractions is 1/1972986.Finally, GCF of Fractions for 2809/782, 3078/5046 is 1/1972986.