GCF of 1193/767, 4457/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1193/767, 4457/413 i.e 1/5369 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1193/767, 4457/413.
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 1193/767,4457/413?
Given fractions are 1193/767,4457/413
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 1193/767,4457/413, numerators are 1193,4457
Denominators are 767,413
The GCF of 1193,4457 is 1 .
LCM of 767,413 is 5369.
The greatest common factor of 1193/767,4457/413 = [GCF of 1193,4457]/[LCM of 767,413]= 1/5369
Therefore, the GCF of 1193/767,4457/413 is 1/5369.
To find the highest common factor of 1193,4457, we have to find the factors of both numbers and list the highest common factor.
The factors of 1193 are 1, 1193
The factors of 4457 are 1, 4457
The HCF of 1193,4457 is 1.
Lets's calculate GCF of 1193,4457
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1193,4457 By Matching Biggest Common Factor Method
Now, list down the factors of 1193
:1,1193
Now, list down the factors of 4457
:1,4457
Greatest Common Factor
We found the factors 1193,4457 . The biggest common factor number is the GCF number.
So the greatest common factor 1193,4457 is 1.
Lets's calculate LCM of 767,413
| 59 | 767, 413 |
| 13, 7 |
∴ So the LCM of the given numbers is 59 x 13 x 7 = 5369
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5369
Therefore, the GCF of Fractions 1193/767,4457/413 is 1/5369
Least Common Multiple of 767,413 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 767,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,413) = 59
common factors(in case of two or more numbers have common factors) = 1
GCF(767,413) x common factors =59 x 1 = 59
LCM(767,413) = ( 767 × 413 ) / 59
LCM(767,413) = 316771 / 59
LCM(767,413) = 5369
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FAQs on GCF of Fractions of 1193/767, 4457/413
1. What is the HCF of 1193,4457?
The HCF of 1193,4457 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 1193/767, 4457/413?
Answer: GCF of Numerators as per given numbers 1193/767, 4457/413 is
GCF of Numerators i.e. for 1193,4457 is 1
LCM of denominators i.e. for 767,413 is 5369.
Thus, GCF of Fractions is 1/5369.Finally, GCF of Fractions for 1193/767, 4457/413 is 1/5369.