GCF of 383/647, 292/803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 383/647, 292/803 i.e 1/519541 easily. The following is the detailed procedure to determine the greatest common factor of fractions 383/647, 292/803.
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 383/647,292/803?
Given fractions are 383/647,292/803
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 383/647,292/803, numerators are 383,292
Denominators are 647,803
The GCF of 383,292 is 1 .
LCM of 647,803 is 519541.
The greatest common factor of 383/647,292/803 = [GCF of 383,292]/[LCM of 647,803]= 1/519541
Therefore, the GCF of 383/647,292/803 is 1/519541.
To find the highest common factor of 383,292, we have to find the factors of both numbers and list the highest common factor.
The factors of 383 are 1, 383
The factors of 292 are 1, 2, 4, 73, 146, 292
The HCF of 383,292 is 1.
Lets's calculate GCF of 383,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 383,292 By Matching Biggest Common Factor Method
Now, list down the factors of 383
:1,383
Now, list down the factors of 292
:1,2,4,73,146,292
Greatest Common Factor
We found the factors 383,292 . The biggest common factor number is the GCF number.
So the greatest common factor 383,292 is 1.
Lets's calculate LCM of 647,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 519541
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/519541
Therefore, the GCF of Fractions 383/647,292/803 is 1/519541
Least Common Multiple of 647,803 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 647,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,803) x common factors =1 x 1 = 1
LCM(647,803) = ( 647 × 803 ) / 1
LCM(647,803) = 519541 / 1
LCM(647,803) = 519541
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FAQs on GCF of Fractions of 383/647, 292/803
1. What is the HCF of 383,292?
The HCF of 383,292 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 383/647, 292/803?
Answer: GCF of Numerators as per given numbers 383/647, 292/803 is
GCF of Numerators i.e. for 383,292 is 1
LCM of denominators i.e. for 647,803 is 519541.
Thus, GCF of Fractions is 1/519541.Finally, GCF of Fractions for 383/647, 292/803 is 1/519541.