GCF of 47/14, 292/67, 407/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 47/14, 292/67, 407/219 i.e 1/205422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 47/14, 292/67, 407/219.
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 47/14,292/67,407/219?
Given fractions are 47/14,292/67,407/219
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 47/14,292/67,407/219, numerators are 47,292,407
Denominators are 14,67,219
The GCF of 47,292,407 is 1 .
LCM of 14,67,219 is 205422.
The greatest common factor of 47/14,292/67,407/219 = [GCF of 47,292,407]/[LCM of 14,67,219]= 1/205422
Therefore, the GCF of 47/14,292/67,407/219 is 1/205422.
To find the highest common factor of 47,292,407, we have to find the factors of both numbers and list the highest common factor.
The factors of 47 are 1, 47
The factors of 292 are 1, 2, 4, 73, 146, 292
The factors of 407 are 1, 11, 37, 407
The HCF of 47,292,407 is 1.
Lets's calculate GCF of 47,292,407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 47,292,407 By Matching Biggest Common Factor Method
Now, list down the factors of 47
:1,47
Now, list down the factors of 292
:1,2,4,73,146,292
Now, list down the factors of 407
:1,11,37,407
Greatest Common Factor
We found the factors 47,292,407 . The biggest common factor number is the GCF number.
So the greatest common factor 47,292,407 is 1.
Lets's calculate LCM of 14,67,219
Given numbers has no common factors except 1. So, there LCM is their product i.e 205422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205422
Therefore, the GCF of Fractions 47/14,292/67,407/219 is 1/205422
Least Common Multiple of 14,67,219 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 14,67,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,67,219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,67,219) x common factors =1 x 1 = 1
LCM(14,67,219) = ( 14 × 67 × 219 ) / 1
LCM(14,67,219) = 205422 / 1
LCM(14,67,219) = 205422
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FAQs on GCF of Fractions of 47/14, 292/67, 407/219
1. What is the HCF of 47,292,407?
The HCF of 47,292,407 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 47/14, 292/67, 407/219?
Answer: GCF of Numerators as per given numbers 47/14, 292/67, 407/219 is
GCF of Numerators i.e. for 47,292,407 is 1
LCM of denominators i.e. for 14,67,219 is 205422.
Thus, GCF of Fractions is 1/205422.Finally, GCF of Fractions for 47/14, 292/67, 407/219 is 1/205422.