GCF of 1785/457, 7123/1041
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1785/457, 7123/1041 i.e 17/475737 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1785/457, 7123/1041.
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 1785/457,7123/1041?
Given fractions are 1785/457,7123/1041
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 1785/457,7123/1041, numerators are 1785,7123
Denominators are 457,1041
The GCF of 1785,7123 is 17 .
LCM of 457,1041 is 475737.
The greatest common factor of 1785/457,7123/1041 = [GCF of 1785,7123]/[LCM of 457,1041]= 17/475737
Therefore, the GCF of 1785/457,7123/1041 is 17/475737.
To find the highest common factor of 1785,7123, we have to find the factors of both numbers and list the highest common factor.
The factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785
The factors of 7123 are 1, 17, 419, 7123
The HCF of 1785,7123 is 17.
Lets's calculate GCF of 1785,7123
| 17 | 1785, 7123 |
| 105, 419 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 1785,7123 By Matching Biggest Common Factor Method
Now, list down the factors of 1785
:1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785
Now, list down the factors of 7123
:1,17,419,7123
Greatest Common Factor
We found the factors 1785,7123 . The biggest common factor number is the GCF number.
So the greatest common factor 1785,7123 is 17.
Lets's calculate LCM of 457,1041
Given numbers has no common factors except 1. So, there LCM is their product i.e 475737
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/475737
Therefore, the GCF of Fractions 1785/457,7123/1041 is 17/475737
Least Common Multiple of 457,1041 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 457,1041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,1041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,1041) x common factors =1 x 1 = 1
LCM(457,1041) = ( 457 × 1041 ) / 1
LCM(457,1041) = 475737 / 1
LCM(457,1041) = 475737
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FAQs on GCF of Fractions of 1785/457, 7123/1041
1. What is the HCF of 1785,7123?
The HCF of 1785,7123 is 17
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 1785/457, 7123/1041?
Answer: GCF of Numerators as per given numbers 1785/457, 7123/1041 is
GCF of Numerators i.e. for 1785,7123 is 17
LCM of denominators i.e. for 457,1041 is 475737.
Thus, GCF of Fractions is 17/475737.Finally, GCF of Fractions for 1785/457, 7123/1041 is 17/475737.