GCF of 4706/258, 2369/7707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4706/258, 2369/7707 i.e 1/662802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4706/258, 2369/7707.
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 4706/258,2369/7707?
Given fractions are 4706/258,2369/7707
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 4706/258,2369/7707, numerators are 4706,2369
Denominators are 258,7707
The GCF of 4706,2369 is 1 .
LCM of 258,7707 is 662802.
The greatest common factor of 4706/258,2369/7707 = [GCF of 4706,2369]/[LCM of 258,7707]= 1/662802
Therefore, the GCF of 4706/258,2369/7707 is 1/662802.
To find the highest common factor of 4706,2369, we have to find the factors of both numbers and list the highest common factor.
The factors of 4706 are 1, 2, 13, 26, 181, 362, 2353, 4706
The factors of 2369 are 1, 23, 103, 2369
The HCF of 4706,2369 is 1.
Lets's calculate GCF of 4706,2369
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4706,2369 By Matching Biggest Common Factor Method
Now, list down the factors of 4706
:1,2,13,26,181,362,2353,4706
Now, list down the factors of 2369
:1,23,103,2369
Greatest Common Factor
We found the factors 4706,2369 . The biggest common factor number is the GCF number.
So the greatest common factor 4706,2369 is 1.
Lets's calculate LCM of 258,7707
| 3 | 258, 7707 |
| 86, 2569 |
∴ So the LCM of the given numbers is 3 x 86 x 2569 = 662802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/662802
Therefore, the GCF of Fractions 4706/258,2369/7707 is 1/662802
Least Common Multiple of 258,7707 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 258,7707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,7707) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(258,7707) x common factors =3 x 1 = 3
LCM(258,7707) = ( 258 × 7707 ) / 3
LCM(258,7707) = 1988406 / 3
LCM(258,7707) = 662802
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FAQs on GCF of Fractions of 4706/258, 2369/7707
1. What is the HCF of 4706,2369?
The HCF of 4706,2369 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 4706/258, 2369/7707?
Answer: GCF of Numerators as per given numbers 4706/258, 2369/7707 is
GCF of Numerators i.e. for 4706,2369 is 1
LCM of denominators i.e. for 258,7707 is 662802.
Thus, GCF of Fractions is 1/662802.Finally, GCF of Fractions for 4706/258, 2369/7707 is 1/662802.