GCF of 895/786, 4745/494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 895/786, 4745/494 i.e 5/194142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 895/786, 4745/494.
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 895/786,4745/494?
Given fractions are 895/786,4745/494
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 895/786,4745/494, numerators are 895,4745
Denominators are 786,494
The GCF of 895,4745 is 5 .
LCM of 786,494 is 194142.
The greatest common factor of 895/786,4745/494 = [GCF of 895,4745]/[LCM of 786,494]= 5/194142
Therefore, the GCF of 895/786,4745/494 is 5/194142.
To find the highest common factor of 895,4745, we have to find the factors of both numbers and list the highest common factor.
The factors of 895 are 1, 5, 179, 895
The factors of 4745 are 1, 5, 13, 65, 73, 365, 949, 4745
The HCF of 895,4745 is 5.
Lets's calculate GCF of 895,4745
| 5 | 895, 4745 |
| 179, 949 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 895,4745 By Matching Biggest Common Factor Method
Now, list down the factors of 895
:1,5,179,895
Now, list down the factors of 4745
:1,5,13,65,73,365,949,4745
Greatest Common Factor
We found the factors 895,4745 . The biggest common factor number is the GCF number.
So the greatest common factor 895,4745 is 5.
Lets's calculate LCM of 786,494
| 2 | 786, 494 |
| 393, 247 |
∴ So the LCM of the given numbers is 2 x 393 x 247 = 194142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/194142
Therefore, the GCF of Fractions 895/786,4745/494 is 5/194142
Least Common Multiple of 786,494 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 786,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,494) x common factors =2 x 1 = 2
LCM(786,494) = ( 786 × 494 ) / 2
LCM(786,494) = 388284 / 2
LCM(786,494) = 194142
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FAQs on GCF of Fractions of 895/786, 4745/494
1. What is the HCF of 895,4745?
The HCF of 895,4745 is 5
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 895/786, 4745/494?
Answer: GCF of Numerators as per given numbers 895/786, 4745/494 is
GCF of Numerators i.e. for 895,4745 is 5
LCM of denominators i.e. for 786,494 is 194142.
Thus, GCF of Fractions is 5/194142.Finally, GCF of Fractions for 895/786, 4745/494 is 5/194142.