GCF of 5870/343, 6042/1713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5870/343, 6042/1713 i.e 2/587559 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5870/343, 6042/1713.
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 5870/343,6042/1713?
Given fractions are 5870/343,6042/1713
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 5870/343,6042/1713, numerators are 5870,6042
Denominators are 343,1713
The GCF of 5870,6042 is 2 .
LCM of 343,1713 is 587559.
The greatest common factor of 5870/343,6042/1713 = [GCF of 5870,6042]/[LCM of 343,1713]= 2/587559
Therefore, the GCF of 5870/343,6042/1713 is 2/587559.
To find the highest common factor of 5870,6042, we have to find the factors of both numbers and list the highest common factor.
The factors of 5870 are 1, 2, 5, 10, 587, 1174, 2935, 5870
The factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042
The HCF of 5870,6042 is 2.
Lets's calculate GCF of 5870,6042
| 2 | 5870, 6042 |
| 2935, 3021 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5870,6042 By Matching Biggest Common Factor Method
Now, list down the factors of 5870
:1,2,5,10,587,1174,2935,5870
Now, list down the factors of 6042
:1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042
Greatest Common Factor
We found the factors 5870,6042 . The biggest common factor number is the GCF number.
So the greatest common factor 5870,6042 is 2.
Lets's calculate LCM of 343,1713
Given numbers has no common factors except 1. So, there LCM is their product i.e 587559
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/587559
Therefore, the GCF of Fractions 5870/343,6042/1713 is 2/587559
Least Common Multiple of 343,1713 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 343,1713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,1713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,1713) x common factors =1 x 1 = 1
LCM(343,1713) = ( 343 × 1713 ) / 1
LCM(343,1713) = 587559 / 1
LCM(343,1713) = 587559
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FAQs on GCF of Fractions of 5870/343, 6042/1713
1. What is the HCF of 5870,6042?
The HCF of 5870,6042 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 5870/343, 6042/1713?
Answer: GCF of Numerators as per given numbers 5870/343, 6042/1713 is
GCF of Numerators i.e. for 5870,6042 is 2
LCM of denominators i.e. for 343,1713 is 587559.
Thus, GCF of Fractions is 2/587559.Finally, GCF of Fractions for 5870/343, 6042/1713 is 2/587559.