GCF of 3133/640, 5968/1847
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3133/640, 5968/1847 i.e 1/1182080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3133/640, 5968/1847.
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 3133/640,5968/1847?
Given fractions are 3133/640,5968/1847
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 3133/640,5968/1847, numerators are 3133,5968
Denominators are 640,1847
The GCF of 3133,5968 is 1 .
LCM of 640,1847 is 1182080.
The greatest common factor of 3133/640,5968/1847 = [GCF of 3133,5968]/[LCM of 640,1847]= 1/1182080
Therefore, the GCF of 3133/640,5968/1847 is 1/1182080.
To find the highest common factor of 3133,5968, we have to find the factors of both numbers and list the highest common factor.
The factors of 3133 are 1, 13, 241, 3133
The factors of 5968 are 1, 2, 4, 8, 16, 373, 746, 1492, 2984, 5968
The HCF of 3133,5968 is 1.
Lets's calculate GCF of 3133,5968
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3133,5968 By Matching Biggest Common Factor Method
Now, list down the factors of 3133
:1,13,241,3133
Now, list down the factors of 5968
:1,2,4,8,16,373,746,1492,2984,5968
Greatest Common Factor
We found the factors 3133,5968 . The biggest common factor number is the GCF number.
So the greatest common factor 3133,5968 is 1.
Lets's calculate LCM of 640,1847
Given numbers has no common factors except 1. So, there LCM is their product i.e 1182080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1182080
Therefore, the GCF of Fractions 3133/640,5968/1847 is 1/1182080
Least Common Multiple of 640,1847 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 640,1847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,1847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(640,1847) x common factors =1 x 1 = 1
LCM(640,1847) = ( 640 × 1847 ) / 1
LCM(640,1847) = 1182080 / 1
LCM(640,1847) = 1182080
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FAQs on GCF of Fractions of 3133/640, 5968/1847
1. What is the HCF of 3133,5968?
The HCF of 3133,5968 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 3133/640, 5968/1847?
Answer: GCF of Numerators as per given numbers 3133/640, 5968/1847 is
GCF of Numerators i.e. for 3133,5968 is 1
LCM of denominators i.e. for 640,1847 is 1182080.
Thus, GCF of Fractions is 1/1182080.Finally, GCF of Fractions for 3133/640, 5968/1847 is 1/1182080.