GCF of 6848/258, 6909/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6848/258, 6909/718 i.e 1/92622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6848/258, 6909/718.
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 6848/258,6909/718?
Given fractions are 6848/258,6909/718
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 6848/258,6909/718, numerators are 6848,6909
Denominators are 258,718
The GCF of 6848,6909 is 1 .
LCM of 258,718 is 92622.
The greatest common factor of 6848/258,6909/718 = [GCF of 6848,6909]/[LCM of 258,718]= 1/92622
Therefore, the GCF of 6848/258,6909/718 is 1/92622.
To find the highest common factor of 6848,6909, we have to find the factors of both numbers and list the highest common factor.
The factors of 6848 are 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848
The factors of 6909 are 1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909
The HCF of 6848,6909 is 1.
Lets's calculate GCF of 6848,6909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6848,6909 By Matching Biggest Common Factor Method
Now, list down the factors of 6848
:1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848
Now, list down the factors of 6909
:1,3,7,21,47,49,141,147,329,987,2303,6909
Greatest Common Factor
We found the factors 6848,6909 . The biggest common factor number is the GCF number.
So the greatest common factor 6848,6909 is 1.
Lets's calculate LCM of 258,718
| 2 | 258, 718 |
| 129, 359 |
∴ So the LCM of the given numbers is 2 x 129 x 359 = 92622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92622
Therefore, the GCF of Fractions 6848/258,6909/718 is 1/92622
Least Common Multiple of 258,718 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 258,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,718) x common factors =2 x 1 = 2
LCM(258,718) = ( 258 × 718 ) / 2
LCM(258,718) = 185244 / 2
LCM(258,718) = 92622
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FAQs on GCF of Fractions of 6848/258, 6909/718
1. What is the HCF of 6848,6909?
The HCF of 6848,6909 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 6848/258, 6909/718?
Answer: GCF of Numerators as per given numbers 6848/258, 6909/718 is
GCF of Numerators i.e. for 6848,6909 is 1
LCM of denominators i.e. for 258,718 is 92622.
Thus, GCF of Fractions is 1/92622.Finally, GCF of Fractions for 6848/258, 6909/718 is 1/92622.