GCF of 1914/255, 6795/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1914/255, 6795/382 i.e 3/97410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1914/255, 6795/382.
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 1914/255,6795/382?
Given fractions are 1914/255,6795/382
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 1914/255,6795/382, numerators are 1914,6795
Denominators are 255,382
The GCF of 1914,6795 is 3 .
LCM of 255,382 is 97410.
The greatest common factor of 1914/255,6795/382 = [GCF of 1914,6795]/[LCM of 255,382]= 3/97410
Therefore, the GCF of 1914/255,6795/382 is 3/97410.
To find the highest common factor of 1914,6795, we have to find the factors of both numbers and list the highest common factor.
The factors of 1914 are 1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 174, 319, 638, 957, 1914
The factors of 6795 are 1, 3, 5, 9, 15, 45, 151, 453, 755, 1359, 2265, 6795
The HCF of 1914,6795 is 3.
Lets's calculate GCF of 1914,6795
| 3 | 1914, 6795 |
| 638, 2265 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1914,6795 By Matching Biggest Common Factor Method
Now, list down the factors of 1914
:1,2,3,6,11,22,29,33,58,66,87,174,319,638,957,1914
Now, list down the factors of 6795
:1,3,5,9,15,45,151,453,755,1359,2265,6795
Greatest Common Factor
We found the factors 1914,6795 . The biggest common factor number is the GCF number.
So the greatest common factor 1914,6795 is 3.
Lets's calculate LCM of 255,382
Given numbers has no common factors except 1. So, there LCM is their product i.e 97410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/97410
Therefore, the GCF of Fractions 1914/255,6795/382 is 3/97410
Least Common Multiple of 255,382 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 255,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(255,382) x common factors =1 x 1 = 1
LCM(255,382) = ( 255 × 382 ) / 1
LCM(255,382) = 97410 / 1
LCM(255,382) = 97410
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FAQs on GCF of Fractions of 1914/255, 6795/382
1. What is the HCF of 1914,6795?
The HCF of 1914,6795 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 1914/255, 6795/382?
Answer: GCF of Numerators as per given numbers 1914/255, 6795/382 is
GCF of Numerators i.e. for 1914,6795 is 3
LCM of denominators i.e. for 255,382 is 97410.
Thus, GCF of Fractions is 3/97410.Finally, GCF of Fractions for 1914/255, 6795/382 is 3/97410.