GCF of 6202/465, 7131/3033
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6202/465, 7131/3033 i.e 1/470115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6202/465, 7131/3033.
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 6202/465,7131/3033?
Given fractions are 6202/465,7131/3033
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 6202/465,7131/3033, numerators are 6202,7131
Denominators are 465,3033
The GCF of 6202,7131 is 1 .
LCM of 465,3033 is 470115.
The greatest common factor of 6202/465,7131/3033 = [GCF of 6202,7131]/[LCM of 465,3033]= 1/470115
Therefore, the GCF of 6202/465,7131/3033 is 1/470115.
To find the highest common factor of 6202,7131, we have to find the factors of both numbers and list the highest common factor.
The factors of 6202 are 1, 2, 7, 14, 443, 886, 3101, 6202
The factors of 7131 are 1, 3, 2377, 7131
The HCF of 6202,7131 is 1.
Lets's calculate GCF of 6202,7131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6202,7131 By Matching Biggest Common Factor Method
Now, list down the factors of 6202
:1,2,7,14,443,886,3101,6202
Now, list down the factors of 7131
:1,3,2377,7131
Greatest Common Factor
We found the factors 6202,7131 . The biggest common factor number is the GCF number.
So the greatest common factor 6202,7131 is 1.
Lets's calculate LCM of 465,3033
| 3 | 465, 3033 |
| 155, 1011 |
∴ So the LCM of the given numbers is 3 x 155 x 1011 = 470115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/470115
Therefore, the GCF of Fractions 6202/465,7131/3033 is 1/470115
Least Common Multiple of 465,3033 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 465,3033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,3033) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,3033) x common factors =3 x 1 = 3
LCM(465,3033) = ( 465 × 3033 ) / 3
LCM(465,3033) = 1410345 / 3
LCM(465,3033) = 470115
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FAQs on GCF of Fractions of 6202/465, 7131/3033
1. What is the HCF of 6202,7131?
The HCF of 6202,7131 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 6202/465, 7131/3033?
Answer: GCF of Numerators as per given numbers 6202/465, 7131/3033 is
GCF of Numerators i.e. for 6202,7131 is 1
LCM of denominators i.e. for 465,3033 is 470115.
Thus, GCF of Fractions is 1/470115.Finally, GCF of Fractions for 6202/465, 7131/3033 is 1/470115.