GCF of 214/11, 763/87, 346/82
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 214/11, 763/87, 346/82 i.e 1/78474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 214/11, 763/87, 346/82.
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 214/11,763/87,346/82?
Given fractions are 214/11,763/87,346/82
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 214/11,763/87,346/82, numerators are 214,763,346
Denominators are 11,87,82
The GCF of 214,763,346 is 1 .
LCM of 11,87,82 is 78474.
The greatest common factor of 214/11,763/87,346/82 = [GCF of 214,763,346]/[LCM of 11,87,82]= 1/78474
Therefore, the GCF of 214/11,763/87,346/82 is 1/78474.
To find the highest common factor of 214,763,346, we have to find the factors of both numbers and list the highest common factor.
The factors of 214 are 1, 2, 107, 214
The factors of 763 are 1, 7, 109, 763
The factors of 346 are 1, 2, 173, 346
The HCF of 214,763,346 is 1.
Lets's calculate GCF of 214,763,346
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 214,763,346 By Matching Biggest Common Factor Method
Now, list down the factors of 214
:1,2,107,214
Now, list down the factors of 763
:1,7,109,763
Now, list down the factors of 346
:1,2,173,346
Greatest Common Factor
We found the factors 214,763,346 . The biggest common factor number is the GCF number.
So the greatest common factor 214,763,346 is 1.
Lets's calculate LCM of 11,87,82
Given numbers has no common factors except 1. So, there LCM is their product i.e 78474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78474
Therefore, the GCF of Fractions 214/11,763/87,346/82 is 1/78474
Least Common Multiple of 11,87,82 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 11,87,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,87,82) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,87,82) x common factors =1 x 1 = 1
LCM(11,87,82) = ( 11 × 87 × 82 ) / 1
LCM(11,87,82) = 78474 / 1
LCM(11,87,82) = 78474
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FAQs on GCF of Fractions of 214/11, 763/87, 346/82
1. What is the HCF of 214,763,346?
The HCF of 214,763,346 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 214/11, 763/87, 346/82?
Answer: GCF of Numerators as per given numbers 214/11, 763/87, 346/82 is
GCF of Numerators i.e. for 214,763,346 is 1
LCM of denominators i.e. for 11,87,82 is 78474.
Thus, GCF of Fractions is 1/78474.Finally, GCF of Fractions for 214/11, 763/87, 346/82 is 1/78474.