GCF of 5783/271, 9472/602
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5783/271, 9472/602 i.e 1/163142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5783/271, 9472/602.
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 5783/271,9472/602?
Given fractions are 5783/271,9472/602
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 5783/271,9472/602, numerators are 5783,9472
Denominators are 271,602
The GCF of 5783,9472 is 1 .
LCM of 271,602 is 163142.
The greatest common factor of 5783/271,9472/602 = [GCF of 5783,9472]/[LCM of 271,602]= 1/163142
Therefore, the GCF of 5783/271,9472/602 is 1/163142.
To find the highest common factor of 5783,9472, we have to find the factors of both numbers and list the highest common factor.
The factors of 5783 are 1, 5783
The factors of 9472 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472
The HCF of 5783,9472 is 1.
Lets's calculate GCF of 5783,9472
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5783,9472 By Matching Biggest Common Factor Method
Now, list down the factors of 5783
:1,5783
Now, list down the factors of 9472
:1,2,4,8,16,32,37,64,74,128,148,256,296,592,1184,2368,4736,9472
Greatest Common Factor
We found the factors 5783,9472 . The biggest common factor number is the GCF number.
So the greatest common factor 5783,9472 is 1.
Lets's calculate LCM of 271,602
Given numbers has no common factors except 1. So, there LCM is their product i.e 163142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163142
Therefore, the GCF of Fractions 5783/271,9472/602 is 1/163142
Least Common Multiple of 271,602 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 271,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,602) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,602) x common factors =1 x 1 = 1
LCM(271,602) = ( 271 × 602 ) / 1
LCM(271,602) = 163142 / 1
LCM(271,602) = 163142
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FAQs on GCF of Fractions of 5783/271, 9472/602
1. What is the HCF of 5783,9472?
The HCF of 5783,9472 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 5783/271, 9472/602?
Answer: GCF of Numerators as per given numbers 5783/271, 9472/602 is
GCF of Numerators i.e. for 5783,9472 is 1
LCM of denominators i.e. for 271,602 is 163142.
Thus, GCF of Fractions is 1/163142.Finally, GCF of Fractions for 5783/271, 9472/602 is 1/163142.