GCF of 5415/698, 5578/6758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5415/698, 5578/6758 i.e 1/2358542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5415/698, 5578/6758.
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 5415/698,5578/6758?
Given fractions are 5415/698,5578/6758
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 5415/698,5578/6758, numerators are 5415,5578
Denominators are 698,6758
The GCF of 5415,5578 is 1 .
LCM of 698,6758 is 2358542.
The greatest common factor of 5415/698,5578/6758 = [GCF of 5415,5578]/[LCM of 698,6758]= 1/2358542
Therefore, the GCF of 5415/698,5578/6758 is 1/2358542.
To find the highest common factor of 5415,5578, we have to find the factors of both numbers and list the highest common factor.
The factors of 5415 are 1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415
The factors of 5578 are 1, 2, 2789, 5578
The HCF of 5415,5578 is 1.
Lets's calculate GCF of 5415,5578
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5415,5578 By Matching Biggest Common Factor Method
Now, list down the factors of 5415
:1,3,5,15,19,57,95,285,361,1083,1805,5415
Now, list down the factors of 5578
:1,2,2789,5578
Greatest Common Factor
We found the factors 5415,5578 . The biggest common factor number is the GCF number.
So the greatest common factor 5415,5578 is 1.
Lets's calculate LCM of 698,6758
| 2 | 698, 6758 |
| 349, 3379 |
∴ So the LCM of the given numbers is 2 x 349 x 3379 = 2358542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2358542
Therefore, the GCF of Fractions 5415/698,5578/6758 is 1/2358542
Least Common Multiple of 698,6758 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 698,6758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,6758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,6758) x common factors =2 x 1 = 2
LCM(698,6758) = ( 698 × 6758 ) / 2
LCM(698,6758) = 4717084 / 2
LCM(698,6758) = 2358542
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FAQs on GCF of Fractions of 5415/698, 5578/6758
1. What is the HCF of 5415,5578?
The HCF of 5415,5578 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 5415/698, 5578/6758?
Answer: GCF of Numerators as per given numbers 5415/698, 5578/6758 is
GCF of Numerators i.e. for 5415,5578 is 1
LCM of denominators i.e. for 698,6758 is 2358542.
Thus, GCF of Fractions is 1/2358542.Finally, GCF of Fractions for 5415/698, 5578/6758 is 1/2358542.