GCF of 834/841, 6774/391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 834/841, 6774/391 i.e 6/328831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 834/841, 6774/391.
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 834/841,6774/391?
Given fractions are 834/841,6774/391
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 834/841,6774/391, numerators are 834,6774
Denominators are 841,391
The GCF of 834,6774 is 6 .
LCM of 841,391 is 328831.
The greatest common factor of 834/841,6774/391 = [GCF of 834,6774]/[LCM of 841,391]= 6/328831
Therefore, the GCF of 834/841,6774/391 is 6/328831.
To find the highest common factor of 834,6774, we have to find the factors of both numbers and list the highest common factor.
The factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834
The factors of 6774 are 1, 2, 3, 6, 1129, 2258, 3387, 6774
The HCF of 834,6774 is 6.
Lets's calculate GCF of 834,6774
| 2 | 834, 6774 |
| 3 | 417, 3387 |
| 139, 1129 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 834,6774 By Matching Biggest Common Factor Method
Now, list down the factors of 834
:1,2,3,6,139,278,417,834
Now, list down the factors of 6774
:1,2,3,6,1129,2258,3387,6774
Greatest Common Factor
We found the factors 834,6774 . The biggest common factor number is the GCF number.
So the greatest common factor 834,6774 is 6.
Lets's calculate LCM of 841,391
Given numbers has no common factors except 1. So, there LCM is their product i.e 328831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/328831
Therefore, the GCF of Fractions 834/841,6774/391 is 6/328831
Least Common Multiple of 841,391 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 841,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,391) x common factors =1 x 1 = 1
LCM(841,391) = ( 841 × 391 ) / 1
LCM(841,391) = 328831 / 1
LCM(841,391) = 328831
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FAQs on GCF of Fractions of 834/841, 6774/391
1. What is the HCF of 834,6774?
The HCF of 834,6774 is 6
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 834/841, 6774/391?
Answer: GCF of Numerators as per given numbers 834/841, 6774/391 is
GCF of Numerators i.e. for 834,6774 is 6
LCM of denominators i.e. for 841,391 is 328831.
Thus, GCF of Fractions is 6/328831.Finally, GCF of Fractions for 834/841, 6774/391 is 6/328831.