GCF of 834/207, 8073/774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 834/207, 8073/774 i.e 3/17802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 834/207, 8073/774.
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 834/207,8073/774?
Given fractions are 834/207,8073/774
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 834/207,8073/774, numerators are 834,8073
Denominators are 207,774
The GCF of 834,8073 is 3 .
LCM of 207,774 is 17802.
The greatest common factor of 834/207,8073/774 = [GCF of 834,8073]/[LCM of 207,774]= 3/17802
Therefore, the GCF of 834/207,8073/774 is 3/17802.
To find the highest common factor of 834,8073, 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 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073
The HCF of 834,8073 is 3.
Lets's calculate GCF of 834,8073
| 3 | 834, 8073 |
| 278, 2691 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 834,8073 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 8073
:1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073
Greatest Common Factor
We found the factors 834,8073 . The biggest common factor number is the GCF number.
So the greatest common factor 834,8073 is 3.
Lets's calculate LCM of 207,774
| 3 | 207, 774 |
| 3 | 69, 258 |
| 23, 86 |
∴ So the LCM of the given numbers is 3 x 3 x 23 x 86 = 17802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17802
Therefore, the GCF of Fractions 834/207,8073/774 is 3/17802
Least Common Multiple of 207,774 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 207,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,774) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(207,774) x common factors =9 x 1 = 9
LCM(207,774) = ( 207 × 774 ) / 9
LCM(207,774) = 160218 / 9
LCM(207,774) = 17802
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FAQs on GCF of Fractions of 834/207, 8073/774
1. What is the HCF of 834,8073?
The HCF of 834,8073 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 834/207, 8073/774?
Answer: GCF of Numerators as per given numbers 834/207, 8073/774 is
GCF of Numerators i.e. for 834,8073 is 3
LCM of denominators i.e. for 207,774 is 17802.
Thus, GCF of Fractions is 3/17802.Finally, GCF of Fractions for 834/207, 8073/774 is 3/17802.