GCF of 2639/614, 2058/6326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2639/614, 2058/6326 i.e 7/1942082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2639/614, 2058/6326.
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 2639/614,2058/6326?
Given fractions are 2639/614,2058/6326
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 2639/614,2058/6326, numerators are 2639,2058
Denominators are 614,6326
The GCF of 2639,2058 is 7 .
LCM of 614,6326 is 1942082.
The greatest common factor of 2639/614,2058/6326 = [GCF of 2639,2058]/[LCM of 614,6326]= 7/1942082
Therefore, the GCF of 2639/614,2058/6326 is 7/1942082.
To find the highest common factor of 2639,2058, we have to find the factors of both numbers and list the highest common factor.
The factors of 2639 are 1, 7, 13, 29, 91, 203, 377, 2639
The factors of 2058 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029, 2058
The HCF of 2639,2058 is 7.
Lets's calculate GCF of 2639,2058
| 7 | 2639, 2058 |
| 377, 294 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2639,2058 By Matching Biggest Common Factor Method
Now, list down the factors of 2639
:1,7,13,29,91,203,377,2639
Now, list down the factors of 2058
:1,2,3,6,7,14,21,42,49,98,147,294,343,686,1029,2058
Greatest Common Factor
We found the factors 2639,2058 . The biggest common factor number is the GCF number.
So the greatest common factor 2639,2058 is 7.
Lets's calculate LCM of 614,6326
| 2 | 614, 6326 |
| 307, 3163 |
∴ So the LCM of the given numbers is 2 x 307 x 3163 = 1942082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1942082
Therefore, the GCF of Fractions 2639/614,2058/6326 is 7/1942082
Least Common Multiple of 614,6326 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 614,6326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,6326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,6326) x common factors =2 x 1 = 2
LCM(614,6326) = ( 614 × 6326 ) / 2
LCM(614,6326) = 3884164 / 2
LCM(614,6326) = 1942082
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FAQs on GCF of Fractions of 2639/614, 2058/6326
1. What is the HCF of 2639,2058?
The HCF of 2639,2058 is 7
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 2639/614, 2058/6326?
Answer: GCF of Numerators as per given numbers 2639/614, 2058/6326 is
GCF of Numerators i.e. for 2639,2058 is 7
LCM of denominators i.e. for 614,6326 is 1942082.
Thus, GCF of Fractions is 7/1942082.Finally, GCF of Fractions for 2639/614, 2058/6326 is 7/1942082.