GCF of 85/94, 395/19, 322/437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 85/94, 395/19, 322/437 i.e 1/41078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/94, 395/19, 322/437.
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 85/94,395/19,322/437?
Given fractions are 85/94,395/19,322/437
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 85/94,395/19,322/437, numerators are 85,395,322
Denominators are 94,19,437
The GCF of 85,395,322 is 1 .
LCM of 94,19,437 is 41078.
The greatest common factor of 85/94,395/19,322/437 = [GCF of 85,395,322]/[LCM of 94,19,437]= 1/41078
Therefore, the GCF of 85/94,395/19,322/437 is 1/41078.
To find the highest common factor of 85,395,322, we have to find the factors of both numbers and list the highest common factor.
The factors of 85 are 1, 5, 17, 85
The factors of 395 are 1, 5, 79, 395
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The HCF of 85,395,322 is 1.
Lets's calculate GCF of 85,395,322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 85,395,322 By Matching Biggest Common Factor Method
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 395
:1,5,79,395
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 85,395,322 . The biggest common factor number is the GCF number.
So the greatest common factor 85,395,322 is 1.
Lets's calculate LCM of 94,19,437
| 19 | 94, 19, 437 |
| 94, 1, 23 |
∴ So the LCM of the given numbers is 19 x 94 x 1 x 23 = 41078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41078
Therefore, the GCF of Fractions 85/94,395/19,322/437 is 1/41078
Least Common Multiple of 94,19,437 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 94,19,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,19,437) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(94,19,437) x common factors =1 x 19 = 19
LCM(94,19,437) = ( 94 × 19 × 437 ) / 19
LCM(94,19,437) = 780482 / 19
LCM(94,19,437) = 41078
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FAQs on GCF of Fractions of 85/94, 395/19, 322/437
1. What is the HCF of 85,395,322?
The HCF of 85,395,322 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 85/94, 395/19, 322/437?
Answer: GCF of Numerators as per given numbers 85/94, 395/19, 322/437 is
GCF of Numerators i.e. for 85,395,322 is 1
LCM of denominators i.e. for 94,19,437 is 41078.
Thus, GCF of Fractions is 1/41078.Finally, GCF of Fractions for 85/94, 395/19, 322/437 is 1/41078.