GCF of 845/472, 5395/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 845/472, 5395/914 i.e 65/215704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/472, 5395/914.
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 845/472,5395/914?
Given fractions are 845/472,5395/914
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 845/472,5395/914, numerators are 845,5395
Denominators are 472,914
The GCF of 845,5395 is 65 .
LCM of 472,914 is 215704.
The greatest common factor of 845/472,5395/914 = [GCF of 845,5395]/[LCM of 472,914]= 65/215704
Therefore, the GCF of 845/472,5395/914 is 65/215704.
To find the highest common factor of 845,5395, 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 5395 are 1, 5, 13, 65, 83, 415, 1079, 5395
The HCF of 845,5395 is 65.
Lets's calculate GCF of 845,5395
| 5 | 845, 5395 |
| 13 | 169, 1079 |
| 13, 83 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Greatest Common Factor of 845,5395 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 5395
:1,5,13,65,83,415,1079,5395
Greatest Common Factor
We found the factors 845,5395 . The biggest common factor number is the GCF number.
So the greatest common factor 845,5395 is 65.
Lets's calculate LCM of 472,914
| 2 | 472, 914 |
| 236, 457 |
∴ So the LCM of the given numbers is 2 x 236 x 457 = 215704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/215704
Therefore, the GCF of Fractions 845/472,5395/914 is 65/215704
Least Common Multiple of 472,914 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 472,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(472,914) x common factors =2 x 1 = 2
LCM(472,914) = ( 472 × 914 ) / 2
LCM(472,914) = 431408 / 2
LCM(472,914) = 215704
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FAQs on GCF of Fractions of 845/472, 5395/914
1. What is the HCF of 845,5395?
The HCF of 845,5395 is 65
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 845/472, 5395/914?
Answer: GCF of Numerators as per given numbers 845/472, 5395/914 is
GCF of Numerators i.e. for 845,5395 is 65
LCM of denominators i.e. for 472,914 is 215704.
Thus, GCF of Fractions is 65/215704.Finally, GCF of Fractions for 845/472, 5395/914 is 65/215704.