GCF of 6782/342, 2084/8901
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6782/342, 2084/8901 i.e 2/338238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6782/342, 2084/8901.
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 6782/342,2084/8901?
Given fractions are 6782/342,2084/8901
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 6782/342,2084/8901, numerators are 6782,2084
Denominators are 342,8901
The GCF of 6782,2084 is 2 .
LCM of 342,8901 is 338238.
The greatest common factor of 6782/342,2084/8901 = [GCF of 6782,2084]/[LCM of 342,8901]= 2/338238
Therefore, the GCF of 6782/342,2084/8901 is 2/338238.
To find the highest common factor of 6782,2084, we have to find the factors of both numbers and list the highest common factor.
The factors of 6782 are 1, 2, 3391, 6782
The factors of 2084 are 1, 2, 4, 521, 1042, 2084
The HCF of 6782,2084 is 2.
Lets's calculate GCF of 6782,2084
| 2 | 6782, 2084 |
| 3391, 1042 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6782,2084 By Matching Biggest Common Factor Method
Now, list down the factors of 6782
:1,2,3391,6782
Now, list down the factors of 2084
:1,2,4,521,1042,2084
Greatest Common Factor
We found the factors 6782,2084 . The biggest common factor number is the GCF number.
So the greatest common factor 6782,2084 is 2.
Lets's calculate LCM of 342,8901
| 3 | 342, 8901 |
| 3 | 114, 2967 |
| 38, 989 |
∴ So the LCM of the given numbers is 3 x 3 x 38 x 989 = 338238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/338238
Therefore, the GCF of Fractions 6782/342,2084/8901 is 2/338238
Least Common Multiple of 342,8901 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 342,8901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,8901) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(342,8901) x common factors =9 x 1 = 9
LCM(342,8901) = ( 342 × 8901 ) / 9
LCM(342,8901) = 3044142 / 9
LCM(342,8901) = 338238
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FAQs on GCF of Fractions of 6782/342, 2084/8901
1. What is the HCF of 6782,2084?
The HCF of 6782,2084 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 6782/342, 2084/8901?
Answer: GCF of Numerators as per given numbers 6782/342, 2084/8901 is
GCF of Numerators i.e. for 6782,2084 is 2
LCM of denominators i.e. for 342,8901 is 338238.
Thus, GCF of Fractions is 2/338238.Finally, GCF of Fractions for 6782/342, 2084/8901 is 2/338238.