GCF of 2399/176, 5300/7733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2399/176, 5300/7733 i.e 1/123728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2399/176, 5300/7733.
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 2399/176,5300/7733?
Given fractions are 2399/176,5300/7733
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 2399/176,5300/7733, numerators are 2399,5300
Denominators are 176,7733
The GCF of 2399,5300 is 1 .
LCM of 176,7733 is 123728.
The greatest common factor of 2399/176,5300/7733 = [GCF of 2399,5300]/[LCM of 176,7733]= 1/123728
Therefore, the GCF of 2399/176,5300/7733 is 1/123728.
To find the highest common factor of 2399,5300, we have to find the factors of both numbers and list the highest common factor.
The factors of 2399 are 1, 2399
The factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300
The HCF of 2399,5300 is 1.
Lets's calculate GCF of 2399,5300
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2399,5300 By Matching Biggest Common Factor Method
Now, list down the factors of 2399
:1,2399
Now, list down the factors of 5300
:1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300
Greatest Common Factor
We found the factors 2399,5300 . The biggest common factor number is the GCF number.
So the greatest common factor 2399,5300 is 1.
Lets's calculate LCM of 176,7733
| 11 | 176, 7733 |
| 16, 703 |
∴ So the LCM of the given numbers is 11 x 16 x 703 = 123728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123728
Therefore, the GCF of Fractions 2399/176,5300/7733 is 1/123728
Least Common Multiple of 176,7733 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 176,7733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,7733) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(176,7733) x common factors =11 x 1 = 11
LCM(176,7733) = ( 176 × 7733 ) / 11
LCM(176,7733) = 1361008 / 11
LCM(176,7733) = 123728
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FAQs on GCF of Fractions of 2399/176, 5300/7733
1. What is the HCF of 2399,5300?
The HCF of 2399,5300 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 2399/176, 5300/7733?
Answer: GCF of Numerators as per given numbers 2399/176, 5300/7733 is
GCF of Numerators i.e. for 2399,5300 is 1
LCM of denominators i.e. for 176,7733 is 123728.
Thus, GCF of Fractions is 1/123728.Finally, GCF of Fractions for 2399/176, 5300/7733 is 1/123728.