GCF of 2638/868, 3039/8170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2638/868, 3039/8170 i.e 1/3545780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2638/868, 3039/8170.
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 2638/868,3039/8170?
Given fractions are 2638/868,3039/8170
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 2638/868,3039/8170, numerators are 2638,3039
Denominators are 868,8170
The GCF of 2638,3039 is 1 .
LCM of 868,8170 is 3545780.
The greatest common factor of 2638/868,3039/8170 = [GCF of 2638,3039]/[LCM of 868,8170]= 1/3545780
Therefore, the GCF of 2638/868,3039/8170 is 1/3545780.
To find the highest common factor of 2638,3039, we have to find the factors of both numbers and list the highest common factor.
The factors of 2638 are 1, 2, 1319, 2638
The factors of 3039 are 1, 3, 1013, 3039
The HCF of 2638,3039 is 1.
Lets's calculate GCF of 2638,3039
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2638,3039 By Matching Biggest Common Factor Method
Now, list down the factors of 2638
:1,2,1319,2638
Now, list down the factors of 3039
:1,3,1013,3039
Greatest Common Factor
We found the factors 2638,3039 . The biggest common factor number is the GCF number.
So the greatest common factor 2638,3039 is 1.
Lets's calculate LCM of 868,8170
| 2 | 868, 8170 |
| 434, 4085 |
∴ So the LCM of the given numbers is 2 x 434 x 4085 = 3545780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3545780
Therefore, the GCF of Fractions 2638/868,3039/8170 is 1/3545780
Least Common Multiple of 868,8170 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 868,8170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,8170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(868,8170) x common factors =2 x 1 = 2
LCM(868,8170) = ( 868 × 8170 ) / 2
LCM(868,8170) = 7091560 / 2
LCM(868,8170) = 3545780
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FAQs on GCF of Fractions of 2638/868, 3039/8170
1. What is the HCF of 2638,3039?
The HCF of 2638,3039 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 2638/868, 3039/8170?
Answer: GCF of Numerators as per given numbers 2638/868, 3039/8170 is
GCF of Numerators i.e. for 2638,3039 is 1
LCM of denominators i.e. for 868,8170 is 3545780.
Thus, GCF of Fractions is 1/3545780.Finally, GCF of Fractions for 2638/868, 3039/8170 is 1/3545780.