GCF of 2870/385, 4195/5171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2870/385, 4195/5171 i.e 5/1990835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2870/385, 4195/5171.
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 2870/385,4195/5171?
Given fractions are 2870/385,4195/5171
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 2870/385,4195/5171, numerators are 2870,4195
Denominators are 385,5171
The GCF of 2870,4195 is 5 .
LCM of 385,5171 is 1990835.
The greatest common factor of 2870/385,4195/5171 = [GCF of 2870,4195]/[LCM of 385,5171]= 5/1990835
Therefore, the GCF of 2870/385,4195/5171 is 5/1990835.
To find the highest common factor of 2870,4195, we have to find the factors of both numbers and list the highest common factor.
The factors of 2870 are 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870
The factors of 4195 are 1, 5, 839, 4195
The HCF of 2870,4195 is 5.
Lets's calculate GCF of 2870,4195
| 5 | 2870, 4195 |
| 574, 839 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2870,4195 By Matching Biggest Common Factor Method
Now, list down the factors of 2870
:1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870
Now, list down the factors of 4195
:1,5,839,4195
Greatest Common Factor
We found the factors 2870,4195 . The biggest common factor number is the GCF number.
So the greatest common factor 2870,4195 is 5.
Lets's calculate LCM of 385,5171
Given numbers has no common factors except 1. So, there LCM is their product i.e 1990835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1990835
Therefore, the GCF of Fractions 2870/385,4195/5171 is 5/1990835
Least Common Multiple of 385,5171 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 385,5171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,5171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,5171) x common factors =1 x 1 = 1
LCM(385,5171) = ( 385 × 5171 ) / 1
LCM(385,5171) = 1990835 / 1
LCM(385,5171) = 1990835
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FAQs on GCF of Fractions of 2870/385, 4195/5171
1. What is the HCF of 2870,4195?
The HCF of 2870,4195 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 2870/385, 4195/5171?
Answer: GCF of Numerators as per given numbers 2870/385, 4195/5171 is
GCF of Numerators i.e. for 2870,4195 is 5
LCM of denominators i.e. for 385,5171 is 1990835.
Thus, GCF of Fractions is 5/1990835.Finally, GCF of Fractions for 2870/385, 4195/5171 is 5/1990835.