GCF of 1834/786, 4706/1676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1834/786, 4706/1676 i.e 2/658668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1834/786, 4706/1676.
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 1834/786,4706/1676?
Given fractions are 1834/786,4706/1676
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 1834/786,4706/1676, numerators are 1834,4706
Denominators are 786,1676
The GCF of 1834,4706 is 2 .
LCM of 786,1676 is 658668.
The greatest common factor of 1834/786,4706/1676 = [GCF of 1834,4706]/[LCM of 786,1676]= 2/658668
Therefore, the GCF of 1834/786,4706/1676 is 2/658668.
To find the highest common factor of 1834,4706, we have to find the factors of both numbers and list the highest common factor.
The factors of 1834 are 1, 2, 7, 14, 131, 262, 917, 1834
The factors of 4706 are 1, 2, 13, 26, 181, 362, 2353, 4706
The HCF of 1834,4706 is 2.
Lets's calculate GCF of 1834,4706
| 2 | 1834, 4706 |
| 917, 2353 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1834,4706 By Matching Biggest Common Factor Method
Now, list down the factors of 1834
:1,2,7,14,131,262,917,1834
Now, list down the factors of 4706
:1,2,13,26,181,362,2353,4706
Greatest Common Factor
We found the factors 1834,4706 . The biggest common factor number is the GCF number.
So the greatest common factor 1834,4706 is 2.
Lets's calculate LCM of 786,1676
| 2 | 786, 1676 |
| 393, 838 |
∴ So the LCM of the given numbers is 2 x 393 x 838 = 658668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/658668
Therefore, the GCF of Fractions 1834/786,4706/1676 is 2/658668
Least Common Multiple of 786,1676 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 786,1676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,1676) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,1676) x common factors =2 x 1 = 2
LCM(786,1676) = ( 786 × 1676 ) / 2
LCM(786,1676) = 1317336 / 2
LCM(786,1676) = 658668
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FAQs on GCF of Fractions of 1834/786, 4706/1676
1. What is the HCF of 1834,4706?
The HCF of 1834,4706 is 2
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 1834/786, 4706/1676?
Answer: GCF of Numerators as per given numbers 1834/786, 4706/1676 is
GCF of Numerators i.e. for 1834,4706 is 2
LCM of denominators i.e. for 786,1676 is 658668.
Thus, GCF of Fractions is 2/658668.Finally, GCF of Fractions for 1834/786, 4706/1676 is 2/658668.