GCF of 403/210, 8596/2744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 403/210, 8596/2744 i.e 1/41160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 403/210, 8596/2744.
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 403/210,8596/2744?
Given fractions are 403/210,8596/2744
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 403/210,8596/2744, numerators are 403,8596
Denominators are 210,2744
The GCF of 403,8596 is 1 .
LCM of 210,2744 is 41160.
The greatest common factor of 403/210,8596/2744 = [GCF of 403,8596]/[LCM of 210,2744]= 1/41160
Therefore, the GCF of 403/210,8596/2744 is 1/41160.
To find the highest common factor of 403,8596, we have to find the factors of both numbers and list the highest common factor.
The factors of 403 are 1, 13, 31, 403
The factors of 8596 are 1, 2, 4, 7, 14, 28, 307, 614, 1228, 2149, 4298, 8596
The HCF of 403,8596 is 1.
Lets's calculate GCF of 403,8596
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 403,8596 By Matching Biggest Common Factor Method
Now, list down the factors of 403
:1,13,31,403
Now, list down the factors of 8596
:1,2,4,7,14,28,307,614,1228,2149,4298,8596
Greatest Common Factor
We found the factors 403,8596 . The biggest common factor number is the GCF number.
So the greatest common factor 403,8596 is 1.
Lets's calculate LCM of 210,2744
| 2 | 210, 2744 |
| 7 | 105, 1372 |
| 15, 196 |
∴ So the LCM of the given numbers is 2 x 7 x 15 x 196 = 41160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41160
Therefore, the GCF of Fractions 403/210,8596/2744 is 1/41160
Least Common Multiple of 210,2744 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 210,2744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,2744) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(210,2744) x common factors =14 x 1 = 14
LCM(210,2744) = ( 210 × 2744 ) / 14
LCM(210,2744) = 576240 / 14
LCM(210,2744) = 41160
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FAQs on GCF of Fractions of 403/210, 8596/2744
1. What is the HCF of 403,8596?
The HCF of 403,8596 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 403/210, 8596/2744?
Answer: GCF of Numerators as per given numbers 403/210, 8596/2744 is
GCF of Numerators i.e. for 403,8596 is 1
LCM of denominators i.e. for 210,2744 is 41160.
Thus, GCF of Fractions is 1/41160.Finally, GCF of Fractions for 403/210, 8596/2744 is 1/41160.