GCF of 5165/569, 1785/7053
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5165/569, 1785/7053 i.e 5/4013157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5165/569, 1785/7053.
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 5165/569,1785/7053?
Given fractions are 5165/569,1785/7053
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 5165/569,1785/7053, numerators are 5165,1785
Denominators are 569,7053
The GCF of 5165,1785 is 5 .
LCM of 569,7053 is 4013157.
The greatest common factor of 5165/569,1785/7053 = [GCF of 5165,1785]/[LCM of 569,7053]= 5/4013157
Therefore, the GCF of 5165/569,1785/7053 is 5/4013157.
To find the highest common factor of 5165,1785, we have to find the factors of both numbers and list the highest common factor.
The factors of 5165 are 1, 5, 1033, 5165
The factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785
The HCF of 5165,1785 is 5.
Lets's calculate GCF of 5165,1785
| 5 | 5165, 1785 |
| 1033, 357 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5165,1785 By Matching Biggest Common Factor Method
Now, list down the factors of 5165
:1,5,1033,5165
Now, list down the factors of 1785
:1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785
Greatest Common Factor
We found the factors 5165,1785 . The biggest common factor number is the GCF number.
So the greatest common factor 5165,1785 is 5.
Lets's calculate LCM of 569,7053
Given numbers has no common factors except 1. So, there LCM is their product i.e 4013157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4013157
Therefore, the GCF of Fractions 5165/569,1785/7053 is 5/4013157
Least Common Multiple of 569,7053 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 569,7053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,7053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,7053) x common factors =1 x 1 = 1
LCM(569,7053) = ( 569 × 7053 ) / 1
LCM(569,7053) = 4013157 / 1
LCM(569,7053) = 4013157
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FAQs on GCF of Fractions of 5165/569, 1785/7053
1. What is the HCF of 5165,1785?
The HCF of 5165,1785 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 5165/569, 1785/7053?
Answer: GCF of Numerators as per given numbers 5165/569, 1785/7053 is
GCF of Numerators i.e. for 5165,1785 is 5
LCM of denominators i.e. for 569,7053 is 4013157.
Thus, GCF of Fractions is 5/4013157.Finally, GCF of Fractions for 5165/569, 1785/7053 is 5/4013157.