GCF of 845/12, 676/7834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 845/12, 676/7834 i.e 169/47004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/12, 676/7834.
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 845/12,676/7834?
Given fractions are 845/12,676/7834
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 845/12,676/7834, numerators are 845,676
Denominators are 12,7834
The GCF of 845,676 is 169 .
LCM of 12,7834 is 47004.
The greatest common factor of 845/12,676/7834 = [GCF of 845,676]/[LCM of 12,7834]= 169/47004
Therefore, the GCF of 845/12,676/7834 is 169/47004.
To find the highest common factor of 845,676, we have to find the factors of both numbers and list the highest common factor.
The factors of 845 are 1, 5, 13, 65, 169, 845
The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676
The HCF of 845,676 is 169.
Lets's calculate GCF of 845,676
| 13 | 845, 676 |
| 13 | 65, 52 |
| 5, 4 |
∴ So the GCF of the given numbers is 13 x 13 = 169
Greatest Common Factor of 845,676 By Matching Biggest Common Factor Method
Now, list down the factors of 845
:1,5,13,65,169,845
Now, list down the factors of 676
:1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 845,676 . The biggest common factor number is the GCF number.
So the greatest common factor 845,676 is 169.
Lets's calculate LCM of 12,7834
| 2 | 12, 7834 |
| 6, 3917 |
∴ So the LCM of the given numbers is 2 x 6 x 3917 = 47004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 169/47004
Therefore, the GCF of Fractions 845/12,676/7834 is 169/47004
Least Common Multiple of 12,7834 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 12,7834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,7834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(12,7834) x common factors =2 x 1 = 2
LCM(12,7834) = ( 12 × 7834 ) / 2
LCM(12,7834) = 94008 / 2
LCM(12,7834) = 47004
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FAQs on GCF of Fractions of 845/12, 676/7834
1. What is the HCF of 845,676?
The HCF of 845,676 is 169
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 845/12, 676/7834?
Answer: GCF of Numerators as per given numbers 845/12, 676/7834 is
GCF of Numerators i.e. for 845,676 is 169
LCM of denominators i.e. for 12,7834 is 47004.
Thus, GCF of Fractions is 169/47004.Finally, GCF of Fractions for 845/12, 676/7834 is 169/47004.