GCF of 6548/838, 7675/6718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6548/838, 7675/6718 i.e 1/2814842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6548/838, 7675/6718.
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 6548/838,7675/6718?
Given fractions are 6548/838,7675/6718
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 6548/838,7675/6718, numerators are 6548,7675
Denominators are 838,6718
The GCF of 6548,7675 is 1 .
LCM of 838,6718 is 2814842.
The greatest common factor of 6548/838,7675/6718 = [GCF of 6548,7675]/[LCM of 838,6718]= 1/2814842
Therefore, the GCF of 6548/838,7675/6718 is 1/2814842.
To find the highest common factor of 6548,7675, we have to find the factors of both numbers and list the highest common factor.
The factors of 6548 are 1, 2, 4, 1637, 3274, 6548
The factors of 7675 are 1, 5, 25, 307, 1535, 7675
The HCF of 6548,7675 is 1.
Lets's calculate GCF of 6548,7675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6548,7675 By Matching Biggest Common Factor Method
Now, list down the factors of 6548
:1,2,4,1637,3274,6548
Now, list down the factors of 7675
:1,5,25,307,1535,7675
Greatest Common Factor
We found the factors 6548,7675 . The biggest common factor number is the GCF number.
So the greatest common factor 6548,7675 is 1.
Lets's calculate LCM of 838,6718
| 2 | 838, 6718 |
| 419, 3359 |
∴ So the LCM of the given numbers is 2 x 419 x 3359 = 2814842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2814842
Therefore, the GCF of Fractions 6548/838,7675/6718 is 1/2814842
Least Common Multiple of 838,6718 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 838,6718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,6718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,6718) x common factors =2 x 1 = 2
LCM(838,6718) = ( 838 × 6718 ) / 2
LCM(838,6718) = 5629684 / 2
LCM(838,6718) = 2814842
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FAQs on GCF of Fractions of 6548/838, 7675/6718
1. What is the HCF of 6548,7675?
The HCF of 6548,7675 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 6548/838, 7675/6718?
Answer: GCF of Numerators as per given numbers 6548/838, 7675/6718 is
GCF of Numerators i.e. for 6548,7675 is 1
LCM of denominators i.e. for 838,6718 is 2814842.
Thus, GCF of Fractions is 1/2814842.Finally, GCF of Fractions for 6548/838, 7675/6718 is 1/2814842.