GCF of 5571/845, 3148/7146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5571/845, 3148/7146 i.e 1/6038370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5571/845, 3148/7146.
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 5571/845,3148/7146?
Given fractions are 5571/845,3148/7146
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 5571/845,3148/7146, numerators are 5571,3148
Denominators are 845,7146
The GCF of 5571,3148 is 1 .
LCM of 845,7146 is 6038370.
The greatest common factor of 5571/845,3148/7146 = [GCF of 5571,3148]/[LCM of 845,7146]= 1/6038370
Therefore, the GCF of 5571/845,3148/7146 is 1/6038370.
To find the highest common factor of 5571,3148, we have to find the factors of both numbers and list the highest common factor.
The factors of 5571 are 1, 3, 9, 619, 1857, 5571
The factors of 3148 are 1, 2, 4, 787, 1574, 3148
The HCF of 5571,3148 is 1.
Lets's calculate GCF of 5571,3148
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5571,3148 By Matching Biggest Common Factor Method
Now, list down the factors of 5571
:1,3,9,619,1857,5571
Now, list down the factors of 3148
:1,2,4,787,1574,3148
Greatest Common Factor
We found the factors 5571,3148 . The biggest common factor number is the GCF number.
So the greatest common factor 5571,3148 is 1.
Lets's calculate LCM of 845,7146
Given numbers has no common factors except 1. So, there LCM is their product i.e 6038370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6038370
Therefore, the GCF of Fractions 5571/845,3148/7146 is 1/6038370
Least Common Multiple of 845,7146 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 845,7146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,7146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,7146) x common factors =1 x 1 = 1
LCM(845,7146) = ( 845 × 7146 ) / 1
LCM(845,7146) = 6038370 / 1
LCM(845,7146) = 6038370
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FAQs on GCF of Fractions of 5571/845, 3148/7146
1. What is the HCF of 5571,3148?
The HCF of 5571,3148 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 5571/845, 3148/7146?
Answer: GCF of Numerators as per given numbers 5571/845, 3148/7146 is
GCF of Numerators i.e. for 5571,3148 is 1
LCM of denominators i.e. for 845,7146 is 6038370.
Thus, GCF of Fractions is 1/6038370.Finally, GCF of Fractions for 5571/845, 3148/7146 is 1/6038370.