GCF of 442/83, 716/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 442/83, 716/319 i.e 2/26477 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/83, 716/319.
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 442/83,716/319?
Given fractions are 442/83,716/319
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 442/83,716/319, numerators are 442,716
Denominators are 83,319
The GCF of 442,716 is 2 .
LCM of 83,319 is 26477.
The greatest common factor of 442/83,716/319 = [GCF of 442,716]/[LCM of 83,319]= 2/26477
Therefore, the GCF of 442/83,716/319 is 2/26477.
To find the highest common factor of 442,716, we have to find the factors of both numbers and list the highest common factor.
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The factors of 716 are 1, 2, 4, 179, 358, 716
The HCF of 442,716 is 2.
Lets's calculate GCF of 442,716
| 2 | 442, 716 |
| 221, 358 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 442,716 By Matching Biggest Common Factor Method
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Now, list down the factors of 716
:1,2,4,179,358,716
Greatest Common Factor
We found the factors 442,716 . The biggest common factor number is the GCF number.
So the greatest common factor 442,716 is 2.
Lets's calculate LCM of 83,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 26477
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26477
Therefore, the GCF of Fractions 442/83,716/319 is 2/26477
Least Common Multiple of 83,319 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 83,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,319) x common factors =1 x 1 = 1
LCM(83,319) = ( 83 × 319 ) / 1
LCM(83,319) = 26477 / 1
LCM(83,319) = 26477
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FAQs on GCF of Fractions of 442/83, 716/319
1. What is the HCF of 442,716?
The HCF of 442,716 is 2
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 442/83, 716/319?
Answer: GCF of Numerators as per given numbers 442/83, 716/319 is
GCF of Numerators i.e. for 442,716 is 2
LCM of denominators i.e. for 83,319 is 26477.
Thus, GCF of Fractions is 2/26477.Finally, GCF of Fractions for 442/83, 716/319 is 2/26477.