GCF of 3143/362, 6039/3070
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3143/362, 6039/3070 i.e 1/555670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3143/362, 6039/3070.
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 3143/362,6039/3070?
Given fractions are 3143/362,6039/3070
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 3143/362,6039/3070, numerators are 3143,6039
Denominators are 362,3070
The GCF of 3143,6039 is 1 .
LCM of 362,3070 is 555670.
The greatest common factor of 3143/362,6039/3070 = [GCF of 3143,6039]/[LCM of 362,3070]= 1/555670
Therefore, the GCF of 3143/362,6039/3070 is 1/555670.
To find the highest common factor of 3143,6039, we have to find the factors of both numbers and list the highest common factor.
The factors of 3143 are 1, 7, 449, 3143
The factors of 6039 are 1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039
The HCF of 3143,6039 is 1.
Lets's calculate GCF of 3143,6039
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3143,6039 By Matching Biggest Common Factor Method
Now, list down the factors of 3143
:1,7,449,3143
Now, list down the factors of 6039
:1,3,9,11,33,61,99,183,549,671,2013,6039
Greatest Common Factor
We found the factors 3143,6039 . The biggest common factor number is the GCF number.
So the greatest common factor 3143,6039 is 1.
Lets's calculate LCM of 362,3070
| 2 | 362, 3070 |
| 181, 1535 |
∴ So the LCM of the given numbers is 2 x 181 x 1535 = 555670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/555670
Therefore, the GCF of Fractions 3143/362,6039/3070 is 1/555670
Least Common Multiple of 362,3070 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 362,3070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,3070) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,3070) x common factors =2 x 1 = 2
LCM(362,3070) = ( 362 × 3070 ) / 2
LCM(362,3070) = 1111340 / 2
LCM(362,3070) = 555670
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FAQs on GCF of Fractions of 3143/362, 6039/3070
1. What is the HCF of 3143,6039?
The HCF of 3143,6039 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 3143/362, 6039/3070?
Answer: GCF of Numerators as per given numbers 3143/362, 6039/3070 is
GCF of Numerators i.e. for 3143,6039 is 1
LCM of denominators i.e. for 362,3070 is 555670.
Thus, GCF of Fractions is 1/555670.Finally, GCF of Fractions for 3143/362, 6039/3070 is 1/555670.