GCF of 4818/986, 1713/430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4818/986, 1713/430 i.e 3/211990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4818/986, 1713/430.
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 4818/986,1713/430?
Given fractions are 4818/986,1713/430
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 4818/986,1713/430, numerators are 4818,1713
Denominators are 986,430
The GCF of 4818,1713 is 3 .
LCM of 986,430 is 211990.
The greatest common factor of 4818/986,1713/430 = [GCF of 4818,1713]/[LCM of 986,430]= 3/211990
Therefore, the GCF of 4818/986,1713/430 is 3/211990.
To find the highest common factor of 4818,1713, we have to find the factors of both numbers and list the highest common factor.
The factors of 4818 are 1, 2, 3, 6, 11, 22, 33, 66, 73, 146, 219, 438, 803, 1606, 2409, 4818
The factors of 1713 are 1, 3, 571, 1713
The HCF of 4818,1713 is 3.
Lets's calculate GCF of 4818,1713
| 3 | 4818, 1713 |
| 1606, 571 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4818,1713 By Matching Biggest Common Factor Method
Now, list down the factors of 4818
:1,2,3,6,11,22,33,66,73,146,219,438,803,1606,2409,4818
Now, list down the factors of 1713
:1,3,571,1713
Greatest Common Factor
We found the factors 4818,1713 . The biggest common factor number is the GCF number.
So the greatest common factor 4818,1713 is 3.
Lets's calculate LCM of 986,430
| 2 | 986, 430 |
| 493, 215 |
∴ So the LCM of the given numbers is 2 x 493 x 215 = 211990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/211990
Therefore, the GCF of Fractions 4818/986,1713/430 is 3/211990
Least Common Multiple of 986,430 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 986,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,430) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,430) x common factors =2 x 1 = 2
LCM(986,430) = ( 986 × 430 ) / 2
LCM(986,430) = 423980 / 2
LCM(986,430) = 211990
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FAQs on GCF of Fractions of 4818/986, 1713/430
1. What is the HCF of 4818,1713?
The HCF of 4818,1713 is 3
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 4818/986, 1713/430?
Answer: GCF of Numerators as per given numbers 4818/986, 1713/430 is
GCF of Numerators i.e. for 4818,1713 is 3
LCM of denominators i.e. for 986,430 is 211990.
Thus, GCF of Fractions is 3/211990.Finally, GCF of Fractions for 4818/986, 1713/430 is 3/211990.