GCF of 835/475, 564/696, 905/604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 835/475, 564/696, 905/604 i.e 1/49920600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/475, 564/696, 905/604.
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 835/475,564/696,905/604?
Given fractions are 835/475,564/696,905/604
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 835/475,564/696,905/604, numerators are 835,564,905
Denominators are 475,696,604
The GCF of 835,564,905 is 1 .
LCM of 475,696,604 is 49920600.
The greatest common factor of 835/475,564/696,905/604 = [GCF of 835,564,905]/[LCM of 475,696,604]= 1/49920600
Therefore, the GCF of 835/475,564/696,905/604 is 1/49920600.
To find the highest common factor of 835,564,905, we have to find the factors of both numbers and list the highest common factor.
The factors of 835 are 1, 5, 167, 835
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The factors of 905 are 1, 5, 181, 905
The HCF of 835,564,905 is 1.
Lets's calculate GCF of 835,564,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 835,564,905 By Matching Biggest Common Factor Method
Now, list down the factors of 835
:1,5,167,835
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Now, list down the factors of 905
:1,5,181,905
Greatest Common Factor
We found the factors 835,564,905 . The biggest common factor number is the GCF number.
So the greatest common factor 835,564,905 is 1.
Lets's calculate LCM of 475,696,604
| 2 | 475, 696, 604 |
| 2 | 475, 348, 302 |
| 475, 174, 151 |
∴ So the LCM of the given numbers is 2 x 2 x 475 x 174 x 151 = 49920600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49920600
Therefore, the GCF of Fractions 835/475,564/696,905/604 is 1/49920600
Least Common Multiple of 475,696,604 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 475,696,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,696,604) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(475,696,604) x common factors =1 x 4 = 4
LCM(475,696,604) = ( 475 × 696 × 604 ) / 4
LCM(475,696,604) = 199682400 / 4
LCM(475,696,604) = 49920600
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 835/475, 564/696, 905/604
1. What is the HCF of 835,564,905?
The HCF of 835,564,905 is 1
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 835/475, 564/696, 905/604?
Answer: GCF of Numerators as per given numbers 835/475, 564/696, 905/604 is
GCF of Numerators i.e. for 835,564,905 is 1
LCM of denominators i.e. for 475,696,604 is 49920600.
Thus, GCF of Fractions is 1/49920600.Finally, GCF of Fractions for 835/475, 564/696, 905/604 is 1/49920600.