GCF of 1702/502, 5740/4086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1702/502, 5740/4086 i.e 2/1025586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1702/502, 5740/4086.
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 1702/502,5740/4086?
Given fractions are 1702/502,5740/4086
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 1702/502,5740/4086, numerators are 1702,5740
Denominators are 502,4086
The GCF of 1702,5740 is 2 .
LCM of 502,4086 is 1025586.
The greatest common factor of 1702/502,5740/4086 = [GCF of 1702,5740]/[LCM of 502,4086]= 2/1025586
Therefore, the GCF of 1702/502,5740/4086 is 2/1025586.
To find the highest common factor of 1702,5740, we have to find the factors of both numbers and list the highest common factor.
The factors of 1702 are 1, 2, 23, 37, 46, 74, 851, 1702
The factors of 5740 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 70, 82, 140, 164, 205, 287, 410, 574, 820, 1148, 1435, 2870, 5740
The HCF of 1702,5740 is 2.
Lets's calculate GCF of 1702,5740
| 2 | 1702, 5740 |
| 851, 2870 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1702,5740 By Matching Biggest Common Factor Method
Now, list down the factors of 1702
:1,2,23,37,46,74,851,1702
Now, list down the factors of 5740
:1,2,4,5,7,10,14,20,28,35,41,70,82,140,164,205,287,410,574,820,1148,1435,2870,5740
Greatest Common Factor
We found the factors 1702,5740 . The biggest common factor number is the GCF number.
So the greatest common factor 1702,5740 is 2.
Lets's calculate LCM of 502,4086
| 2 | 502, 4086 |
| 251, 2043 |
∴ So the LCM of the given numbers is 2 x 251 x 2043 = 1025586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1025586
Therefore, the GCF of Fractions 1702/502,5740/4086 is 2/1025586
Least Common Multiple of 502,4086 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 502,4086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,4086) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(502,4086) x common factors =2 x 1 = 2
LCM(502,4086) = ( 502 × 4086 ) / 2
LCM(502,4086) = 2051172 / 2
LCM(502,4086) = 1025586
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FAQs on GCF of Fractions of 1702/502, 5740/4086
1. What is the HCF of 1702,5740?
The HCF of 1702,5740 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 1702/502, 5740/4086?
Answer: GCF of Numerators as per given numbers 1702/502, 5740/4086 is
GCF of Numerators i.e. for 1702,5740 is 2
LCM of denominators i.e. for 502,4086 is 1025586.
Thus, GCF of Fractions is 2/1025586.Finally, GCF of Fractions for 1702/502, 5740/4086 is 2/1025586.