GCF of 7571/414, 3160/1223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7571/414, 3160/1223 i.e 1/506322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7571/414, 3160/1223.
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 7571/414,3160/1223?
Given fractions are 7571/414,3160/1223
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 7571/414,3160/1223, numerators are 7571,3160
Denominators are 414,1223
The GCF of 7571,3160 is 1 .
LCM of 414,1223 is 506322.
The greatest common factor of 7571/414,3160/1223 = [GCF of 7571,3160]/[LCM of 414,1223]= 1/506322
Therefore, the GCF of 7571/414,3160/1223 is 1/506322.
To find the highest common factor of 7571,3160, we have to find the factors of both numbers and list the highest common factor.
The factors of 7571 are 1, 67, 113, 7571
The factors of 3160 are 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160
The HCF of 7571,3160 is 1.
Lets's calculate GCF of 7571,3160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7571,3160 By Matching Biggest Common Factor Method
Now, list down the factors of 7571
:1,67,113,7571
Now, list down the factors of 3160
:1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160
Greatest Common Factor
We found the factors 7571,3160 . The biggest common factor number is the GCF number.
So the greatest common factor 7571,3160 is 1.
Lets's calculate LCM of 414,1223
Given numbers has no common factors except 1. So, there LCM is their product i.e 506322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/506322
Therefore, the GCF of Fractions 7571/414,3160/1223 is 1/506322
Least Common Multiple of 414,1223 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 414,1223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,1223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(414,1223) x common factors =1 x 1 = 1
LCM(414,1223) = ( 414 × 1223 ) / 1
LCM(414,1223) = 506322 / 1
LCM(414,1223) = 506322
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FAQs on GCF of Fractions of 7571/414, 3160/1223
1. What is the HCF of 7571,3160?
The HCF of 7571,3160 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 7571/414, 3160/1223?
Answer: GCF of Numerators as per given numbers 7571/414, 3160/1223 is
GCF of Numerators i.e. for 7571,3160 is 1
LCM of denominators i.e. for 414,1223 is 506322.
Thus, GCF of Fractions is 1/506322.Finally, GCF of Fractions for 7571/414, 3160/1223 is 1/506322.