GCF of 4902/686, 1466/2523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4902/686, 1466/2523 i.e 2/1730778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4902/686, 1466/2523.
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 4902/686,1466/2523?
Given fractions are 4902/686,1466/2523
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 4902/686,1466/2523, numerators are 4902,1466
Denominators are 686,2523
The GCF of 4902,1466 is 2 .
LCM of 686,2523 is 1730778.
The greatest common factor of 4902/686,1466/2523 = [GCF of 4902,1466]/[LCM of 686,2523]= 2/1730778
Therefore, the GCF of 4902/686,1466/2523 is 2/1730778.
To find the highest common factor of 4902,1466, we have to find the factors of both numbers and list the highest common factor.
The factors of 4902 are 1, 2, 3, 6, 19, 38, 43, 57, 86, 114, 129, 258, 817, 1634, 2451, 4902
The factors of 1466 are 1, 2, 733, 1466
The HCF of 4902,1466 is 2.
Lets's calculate GCF of 4902,1466
| 2 | 4902, 1466 |
| 2451, 733 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4902,1466 By Matching Biggest Common Factor Method
Now, list down the factors of 4902
:1,2,3,6,19,38,43,57,86,114,129,258,817,1634,2451,4902
Now, list down the factors of 1466
:1,2,733,1466
Greatest Common Factor
We found the factors 4902,1466 . The biggest common factor number is the GCF number.
So the greatest common factor 4902,1466 is 2.
Lets's calculate LCM of 686,2523
Given numbers has no common factors except 1. So, there LCM is their product i.e 1730778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1730778
Therefore, the GCF of Fractions 4902/686,1466/2523 is 2/1730778
Least Common Multiple of 686,2523 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 686,2523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,2523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,2523) x common factors =1 x 1 = 1
LCM(686,2523) = ( 686 × 2523 ) / 1
LCM(686,2523) = 1730778 / 1
LCM(686,2523) = 1730778
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FAQs on GCF of Fractions of 4902/686, 1466/2523
1. What is the HCF of 4902,1466?
The HCF of 4902,1466 is 2
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 4902/686, 1466/2523?
Answer: GCF of Numerators as per given numbers 4902/686, 1466/2523 is
GCF of Numerators i.e. for 4902,1466 is 2
LCM of denominators i.e. for 686,2523 is 1730778.
Thus, GCF of Fractions is 2/1730778.Finally, GCF of Fractions for 4902/686, 1466/2523 is 2/1730778.