GCF of 442/174, 3445/663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 442/174, 3445/663 i.e 13/38454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/174, 3445/663.
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 442/174,3445/663?
Given fractions are 442/174,3445/663
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 442/174,3445/663, numerators are 442,3445
Denominators are 174,663
The GCF of 442,3445 is 13 .
LCM of 174,663 is 38454.
The greatest common factor of 442/174,3445/663 = [GCF of 442,3445]/[LCM of 174,663]= 13/38454
Therefore, the GCF of 442/174,3445/663 is 13/38454.
To find the highest common factor of 442,3445, 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 3445 are 1, 5, 13, 53, 65, 265, 689, 3445
The HCF of 442,3445 is 13.
Lets's calculate GCF of 442,3445
| 13 | 442, 3445 |
| 34, 265 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 442,3445 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 3445
:1,5,13,53,65,265,689,3445
Greatest Common Factor
We found the factors 442,3445 . The biggest common factor number is the GCF number.
So the greatest common factor 442,3445 is 13.
Lets's calculate LCM of 174,663
| 3 | 174, 663 |
| 58, 221 |
∴ So the LCM of the given numbers is 3 x 58 x 221 = 38454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/38454
Therefore, the GCF of Fractions 442/174,3445/663 is 13/38454
Least Common Multiple of 174,663 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 174,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,663) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(174,663) x common factors =3 x 1 = 3
LCM(174,663) = ( 174 × 663 ) / 3
LCM(174,663) = 115362 / 3
LCM(174,663) = 38454
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FAQs on GCF of Fractions of 442/174, 3445/663
1. What is the HCF of 442,3445?
The HCF of 442,3445 is 13
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 442/174, 3445/663?
Answer: GCF of Numerators as per given numbers 442/174, 3445/663 is
GCF of Numerators i.e. for 442,3445 is 13
LCM of denominators i.e. for 174,663 is 38454.
Thus, GCF of Fractions is 13/38454.Finally, GCF of Fractions for 442/174, 3445/663 is 13/38454.