GCF of 5398/638, 6989/8130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5398/638, 6989/8130 i.e 1/2593470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5398/638, 6989/8130.
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 5398/638,6989/8130?
Given fractions are 5398/638,6989/8130
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 5398/638,6989/8130, numerators are 5398,6989
Denominators are 638,8130
The GCF of 5398,6989 is 1 .
LCM of 638,8130 is 2593470.
The greatest common factor of 5398/638,6989/8130 = [GCF of 5398,6989]/[LCM of 638,8130]= 1/2593470
Therefore, the GCF of 5398/638,6989/8130 is 1/2593470.
To find the highest common factor of 5398,6989, we have to find the factors of both numbers and list the highest common factor.
The factors of 5398 are 1, 2, 2699, 5398
The factors of 6989 are 1, 29, 241, 6989
The HCF of 5398,6989 is 1.
Lets's calculate GCF of 5398,6989
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5398,6989 By Matching Biggest Common Factor Method
Now, list down the factors of 5398
:1,2,2699,5398
Now, list down the factors of 6989
:1,29,241,6989
Greatest Common Factor
We found the factors 5398,6989 . The biggest common factor number is the GCF number.
So the greatest common factor 5398,6989 is 1.
Lets's calculate LCM of 638,8130
| 2 | 638, 8130 |
| 319, 4065 |
∴ So the LCM of the given numbers is 2 x 319 x 4065 = 2593470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2593470
Therefore, the GCF of Fractions 5398/638,6989/8130 is 1/2593470
Least Common Multiple of 638,8130 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 638,8130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,8130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,8130) x common factors =2 x 1 = 2
LCM(638,8130) = ( 638 × 8130 ) / 2
LCM(638,8130) = 5186940 / 2
LCM(638,8130) = 2593470
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FAQs on GCF of Fractions of 5398/638, 6989/8130
1. What is the HCF of 5398,6989?
The HCF of 5398,6989 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 5398/638, 6989/8130?
Answer: GCF of Numerators as per given numbers 5398/638, 6989/8130 is
GCF of Numerators i.e. for 5398,6989 is 1
LCM of denominators i.e. for 638,8130 is 2593470.
Thus, GCF of Fractions is 1/2593470.Finally, GCF of Fractions for 5398/638, 6989/8130 is 1/2593470.