GCF of 2903/713, 1050/180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2903/713, 1050/180 i.e 1/128340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2903/713, 1050/180.
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 2903/713,1050/180?
Given fractions are 2903/713,1050/180
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 2903/713,1050/180, numerators are 2903,1050
Denominators are 713,180
The GCF of 2903,1050 is 1 .
LCM of 713,180 is 128340.
The greatest common factor of 2903/713,1050/180 = [GCF of 2903,1050]/[LCM of 713,180]= 1/128340
Therefore, the GCF of 2903/713,1050/180 is 1/128340.
To find the highest common factor of 2903,1050, we have to find the factors of both numbers and list the highest common factor.
The factors of 2903 are 1, 2903
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 2903,1050 is 1.
Lets's calculate GCF of 2903,1050
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2903,1050 By Matching Biggest Common Factor Method
Now, list down the factors of 2903
:1,2903
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 2903,1050 . The biggest common factor number is the GCF number.
So the greatest common factor 2903,1050 is 1.
Lets's calculate LCM of 713,180
Given numbers has no common factors except 1. So, there LCM is their product i.e 128340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128340
Therefore, the GCF of Fractions 2903/713,1050/180 is 1/128340
Least Common Multiple of 713,180 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 713,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,180) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,180) x common factors =1 x 1 = 1
LCM(713,180) = ( 713 × 180 ) / 1
LCM(713,180) = 128340 / 1
LCM(713,180) = 128340
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FAQs on GCF of Fractions of 2903/713, 1050/180
1. What is the HCF of 2903,1050?
The HCF of 2903,1050 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 2903/713, 1050/180?
Answer: GCF of Numerators as per given numbers 2903/713, 1050/180 is
GCF of Numerators i.e. for 2903,1050 is 1
LCM of denominators i.e. for 713,180 is 128340.
Thus, GCF of Fractions is 1/128340.Finally, GCF of Fractions for 2903/713, 1050/180 is 1/128340.