GCF of 2365/119, 1050/755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2365/119, 1050/755 i.e 5/89845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2365/119, 1050/755.
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 2365/119,1050/755?
Given fractions are 2365/119,1050/755
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 2365/119,1050/755, numerators are 2365,1050
Denominators are 119,755
The GCF of 2365,1050 is 5 .
LCM of 119,755 is 89845.
The greatest common factor of 2365/119,1050/755 = [GCF of 2365,1050]/[LCM of 119,755]= 5/89845
Therefore, the GCF of 2365/119,1050/755 is 5/89845.
To find the highest common factor of 2365,1050, we have to find the factors of both numbers and list the highest common factor.
The factors of 2365 are 1, 5, 11, 43, 55, 215, 473, 2365
The factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050
The HCF of 2365,1050 is 5.
Lets's calculate GCF of 2365,1050
| 5 | 2365, 1050 |
| 473, 210 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2365,1050 By Matching Biggest Common Factor Method
Now, list down the factors of 2365
:1,5,11,43,55,215,473,2365
Now, list down the factors of 1050
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050
Greatest Common Factor
We found the factors 2365,1050 . The biggest common factor number is the GCF number.
So the greatest common factor 2365,1050 is 5.
Lets's calculate LCM of 119,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 89845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/89845
Therefore, the GCF of Fractions 2365/119,1050/755 is 5/89845
Least Common Multiple of 119,755 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 119,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,755) x common factors =1 x 1 = 1
LCM(119,755) = ( 119 × 755 ) / 1
LCM(119,755) = 89845 / 1
LCM(119,755) = 89845
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2365/119, 1050/755
1. What is the HCF of 2365,1050?
The HCF of 2365,1050 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 2365/119, 1050/755?
Answer: GCF of Numerators as per given numbers 2365/119, 1050/755 is
GCF of Numerators i.e. for 2365,1050 is 5
LCM of denominators i.e. for 119,755 is 89845.
Thus, GCF of Fractions is 5/89845.Finally, GCF of Fractions for 2365/119, 1050/755 is 5/89845.