GCF of 2817/190, 6756/294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2817/190, 6756/294 i.e 3/27930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2817/190, 6756/294.
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 2817/190,6756/294?
Given fractions are 2817/190,6756/294
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 2817/190,6756/294, numerators are 2817,6756
Denominators are 190,294
The GCF of 2817,6756 is 3 .
LCM of 190,294 is 27930.
The greatest common factor of 2817/190,6756/294 = [GCF of 2817,6756]/[LCM of 190,294]= 3/27930
Therefore, the GCF of 2817/190,6756/294 is 3/27930.
To find the highest common factor of 2817,6756, we have to find the factors of both numbers and list the highest common factor.
The factors of 2817 are 1, 3, 9, 313, 939, 2817
The factors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756
The HCF of 2817,6756 is 3.
Lets's calculate GCF of 2817,6756
| 3 | 2817, 6756 |
| 939, 2252 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2817,6756 By Matching Biggest Common Factor Method
Now, list down the factors of 2817
:1,3,9,313,939,2817
Now, list down the factors of 6756
:1,2,3,4,6,12,563,1126,1689,2252,3378,6756
Greatest Common Factor
We found the factors 2817,6756 . The biggest common factor number is the GCF number.
So the greatest common factor 2817,6756 is 3.
Lets's calculate LCM of 190,294
| 2 | 190, 294 |
| 95, 147 |
∴ So the LCM of the given numbers is 2 x 95 x 147 = 27930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27930
Therefore, the GCF of Fractions 2817/190,6756/294 is 3/27930
Least Common Multiple of 190,294 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 190,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,294) x common factors =2 x 1 = 2
LCM(190,294) = ( 190 × 294 ) / 2
LCM(190,294) = 55860 / 2
LCM(190,294) = 27930
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FAQs on GCF of Fractions of 2817/190, 6756/294
1. What is the HCF of 2817,6756?
The HCF of 2817,6756 is 3
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 2817/190, 6756/294?
Answer: GCF of Numerators as per given numbers 2817/190, 6756/294 is
GCF of Numerators i.e. for 2817,6756 is 3
LCM of denominators i.e. for 190,294 is 27930.
Thus, GCF of Fractions is 3/27930.Finally, GCF of Fractions for 2817/190, 6756/294 is 3/27930.