GCF of 455/19, 785/3117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 455/19, 785/3117 i.e 5/59223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/19, 785/3117.
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 455/19,785/3117?
Given fractions are 455/19,785/3117
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 455/19,785/3117, numerators are 455,785
Denominators are 19,3117
The GCF of 455,785 is 5 .
LCM of 19,3117 is 59223.
The greatest common factor of 455/19,785/3117 = [GCF of 455,785]/[LCM of 19,3117]= 5/59223
Therefore, the GCF of 455/19,785/3117 is 5/59223.
To find the highest common factor of 455,785, we have to find the factors of both numbers and list the highest common factor.
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The factors of 785 are 1, 5, 157, 785
The HCF of 455,785 is 5.
Lets's calculate GCF of 455,785
| 5 | 455, 785 |
| 91, 157 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 455,785 By Matching Biggest Common Factor Method
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Now, list down the factors of 785
:1,5,157,785
Greatest Common Factor
We found the factors 455,785 . The biggest common factor number is the GCF number.
So the greatest common factor 455,785 is 5.
Lets's calculate LCM of 19,3117
Given numbers has no common factors except 1. So, there LCM is their product i.e 59223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/59223
Therefore, the GCF of Fractions 455/19,785/3117 is 5/59223
Least Common Multiple of 19,3117 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 19,3117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,3117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,3117) x common factors =1 x 1 = 1
LCM(19,3117) = ( 19 × 3117 ) / 1
LCM(19,3117) = 59223 / 1
LCM(19,3117) = 59223
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FAQs on GCF of Fractions of 455/19, 785/3117
1. What is the HCF of 455,785?
The HCF of 455,785 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 455/19, 785/3117?
Answer: GCF of Numerators as per given numbers 455/19, 785/3117 is
GCF of Numerators i.e. for 455,785 is 5
LCM of denominators i.e. for 19,3117 is 59223.
Thus, GCF of Fractions is 5/59223.Finally, GCF of Fractions for 455/19, 785/3117 is 5/59223.