GCF of 3339/176, 2140/6942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3339/176, 2140/6942 i.e 1/610896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3339/176, 2140/6942.
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 3339/176,2140/6942?
Given fractions are 3339/176,2140/6942
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 3339/176,2140/6942, numerators are 3339,2140
Denominators are 176,6942
The GCF of 3339,2140 is 1 .
LCM of 176,6942 is 610896.
The greatest common factor of 3339/176,2140/6942 = [GCF of 3339,2140]/[LCM of 176,6942]= 1/610896
Therefore, the GCF of 3339/176,2140/6942 is 1/610896.
To find the highest common factor of 3339,2140, we have to find the factors of both numbers and list the highest common factor.
The factors of 3339 are 1, 3, 7, 9, 21, 53, 63, 159, 371, 477, 1113, 3339
The factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140
The HCF of 3339,2140 is 1.
Lets's calculate GCF of 3339,2140
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3339,2140 By Matching Biggest Common Factor Method
Now, list down the factors of 3339
:1,3,7,9,21,53,63,159,371,477,1113,3339
Now, list down the factors of 2140
:1,2,4,5,10,20,107,214,428,535,1070,2140
Greatest Common Factor
We found the factors 3339,2140 . The biggest common factor number is the GCF number.
So the greatest common factor 3339,2140 is 1.
Lets's calculate LCM of 176,6942
| 2 | 176, 6942 |
| 88, 3471 |
∴ So the LCM of the given numbers is 2 x 88 x 3471 = 610896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/610896
Therefore, the GCF of Fractions 3339/176,2140/6942 is 1/610896
Least Common Multiple of 176,6942 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 176,6942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,6942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(176,6942) x common factors =2 x 1 = 2
LCM(176,6942) = ( 176 × 6942 ) / 2
LCM(176,6942) = 1221792 / 2
LCM(176,6942) = 610896
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FAQs on GCF of Fractions of 3339/176, 2140/6942
1. What is the HCF of 3339,2140?
The HCF of 3339,2140 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 3339/176, 2140/6942?
Answer: GCF of Numerators as per given numbers 3339/176, 2140/6942 is
GCF of Numerators i.e. for 3339,2140 is 1
LCM of denominators i.e. for 176,6942 is 610896.
Thus, GCF of Fractions is 1/610896.Finally, GCF of Fractions for 3339/176, 2140/6942 is 1/610896.