GCF of 5023/615, 4336/2870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5023/615, 4336/2870 i.e 1/8610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5023/615, 4336/2870.
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 5023/615,4336/2870?
Given fractions are 5023/615,4336/2870
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 5023/615,4336/2870, numerators are 5023,4336
Denominators are 615,2870
The GCF of 5023,4336 is 1 .
LCM of 615,2870 is 8610.
The greatest common factor of 5023/615,4336/2870 = [GCF of 5023,4336]/[LCM of 615,2870]= 1/8610
Therefore, the GCF of 5023/615,4336/2870 is 1/8610.
To find the highest common factor of 5023,4336, we have to find the factors of both numbers and list the highest common factor.
The factors of 5023 are 1, 5023
The factors of 4336 are 1, 2, 4, 8, 16, 271, 542, 1084, 2168, 4336
The HCF of 5023,4336 is 1.
Lets's calculate GCF of 5023,4336
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5023,4336 By Matching Biggest Common Factor Method
Now, list down the factors of 5023
:1,5023
Now, list down the factors of 4336
:1,2,4,8,16,271,542,1084,2168,4336
Greatest Common Factor
We found the factors 5023,4336 . The biggest common factor number is the GCF number.
So the greatest common factor 5023,4336 is 1.
Lets's calculate LCM of 615,2870
| 5 | 615, 2870 |
| 41 | 123, 574 |
| 3, 14 |
∴ So the LCM of the given numbers is 5 x 41 x 3 x 14 = 8610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8610
Therefore, the GCF of Fractions 5023/615,4336/2870 is 1/8610
Least Common Multiple of 615,2870 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 615,2870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,2870) = 205
common factors(in case of two or more numbers have common factors) = 1
GCF(615,2870) x common factors =205 x 1 = 205
LCM(615,2870) = ( 615 × 2870 ) / 205
LCM(615,2870) = 1765050 / 205
LCM(615,2870) = 8610
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FAQs on GCF of Fractions of 5023/615, 4336/2870
1. What is the HCF of 5023,4336?
The HCF of 5023,4336 is 1
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 5023/615, 4336/2870?
Answer: GCF of Numerators as per given numbers 5023/615, 4336/2870 is
GCF of Numerators i.e. for 5023,4336 is 1
LCM of denominators i.e. for 615,2870 is 8610.
Thus, GCF of Fractions is 1/8610.Finally, GCF of Fractions for 5023/615, 4336/2870 is 1/8610.