GCF of 6395/171, 4720/5039
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6395/171, 4720/5039 i.e 5/861669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6395/171, 4720/5039.
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 6395/171,4720/5039?
Given fractions are 6395/171,4720/5039
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 6395/171,4720/5039, numerators are 6395,4720
Denominators are 171,5039
The GCF of 6395,4720 is 5 .
LCM of 171,5039 is 861669.
The greatest common factor of 6395/171,4720/5039 = [GCF of 6395,4720]/[LCM of 171,5039]= 5/861669
Therefore, the GCF of 6395/171,4720/5039 is 5/861669.
To find the highest common factor of 6395,4720, we have to find the factors of both numbers and list the highest common factor.
The factors of 6395 are 1, 5, 1279, 6395
The factors of 4720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720
The HCF of 6395,4720 is 5.
Lets's calculate GCF of 6395,4720
| 5 | 6395, 4720 |
| 1279, 944 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6395,4720 By Matching Biggest Common Factor Method
Now, list down the factors of 6395
:1,5,1279,6395
Now, list down the factors of 4720
:1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720
Greatest Common Factor
We found the factors 6395,4720 . The biggest common factor number is the GCF number.
So the greatest common factor 6395,4720 is 5.
Lets's calculate LCM of 171,5039
Given numbers has no common factors except 1. So, there LCM is their product i.e 861669
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/861669
Therefore, the GCF of Fractions 6395/171,4720/5039 is 5/861669
Least Common Multiple of 171,5039 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 171,5039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,5039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,5039) x common factors =1 x 1 = 1
LCM(171,5039) = ( 171 × 5039 ) / 1
LCM(171,5039) = 861669 / 1
LCM(171,5039) = 861669
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FAQs on GCF of Fractions of 6395/171, 4720/5039
1. What is the HCF of 6395,4720?
The HCF of 6395,4720 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 6395/171, 4720/5039?
Answer: GCF of Numerators as per given numbers 6395/171, 4720/5039 is
GCF of Numerators i.e. for 6395,4720 is 5
LCM of denominators i.e. for 171,5039 is 861669.
Thus, GCF of Fractions is 5/861669.Finally, GCF of Fractions for 6395/171, 4720/5039 is 5/861669.