GCF of 2369/512, 7050/1780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2369/512, 7050/1780 i.e 1/227840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2369/512, 7050/1780.
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 2369/512,7050/1780?
Given fractions are 2369/512,7050/1780
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 2369/512,7050/1780, numerators are 2369,7050
Denominators are 512,1780
The GCF of 2369,7050 is 1 .
LCM of 512,1780 is 227840.
The greatest common factor of 2369/512,7050/1780 = [GCF of 2369,7050]/[LCM of 512,1780]= 1/227840
Therefore, the GCF of 2369/512,7050/1780 is 1/227840.
To find the highest common factor of 2369,7050, we have to find the factors of both numbers and list the highest common factor.
The factors of 2369 are 1, 23, 103, 2369
The factors of 7050 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050
The HCF of 2369,7050 is 1.
Lets's calculate GCF of 2369,7050
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2369,7050 By Matching Biggest Common Factor Method
Now, list down the factors of 2369
:1,23,103,2369
Now, list down the factors of 7050
:1,2,3,5,6,10,15,25,30,47,50,75,94,141,150,235,282,470,705,1175,1410,2350,3525,7050
Greatest Common Factor
We found the factors 2369,7050 . The biggest common factor number is the GCF number.
So the greatest common factor 2369,7050 is 1.
Lets's calculate LCM of 512,1780
| 2 | 512, 1780 |
| 2 | 256, 890 |
| 128, 445 |
∴ So the LCM of the given numbers is 2 x 2 x 128 x 445 = 227840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227840
Therefore, the GCF of Fractions 2369/512,7050/1780 is 1/227840
Least Common Multiple of 512,1780 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 512,1780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,1780) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(512,1780) x common factors =4 x 1 = 4
LCM(512,1780) = ( 512 × 1780 ) / 4
LCM(512,1780) = 911360 / 4
LCM(512,1780) = 227840
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FAQs on GCF of Fractions of 2369/512, 7050/1780
1. What is the HCF of 2369,7050?
The HCF of 2369,7050 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 2369/512, 7050/1780?
Answer: GCF of Numerators as per given numbers 2369/512, 7050/1780 is
GCF of Numerators i.e. for 2369,7050 is 1
LCM of denominators i.e. for 512,1780 is 227840.
Thus, GCF of Fractions is 1/227840.Finally, GCF of Fractions for 2369/512, 7050/1780 is 1/227840.