GCF of 348/33, 522/3708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 348/33, 522/3708 i.e 174/40788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/33, 522/3708.
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 348/33,522/3708?
Given fractions are 348/33,522/3708
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 348/33,522/3708, numerators are 348,522
Denominators are 33,3708
The GCF of 348,522 is 174 .
LCM of 33,3708 is 40788.
The greatest common factor of 348/33,522/3708 = [GCF of 348,522]/[LCM of 33,3708]= 174/40788
Therefore, the GCF of 348/33,522/3708 is 174/40788.
To find the highest common factor of 348,522, we have to find the factors of both numbers and list the highest common factor.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
The HCF of 348,522 is 174.
Lets's calculate GCF of 348,522
| 2 | 348, 522 |
| 3 | 174, 261 |
| 29 | 58, 87 |
| 2, 3 |
∴ So the GCF of the given numbers is 2 x 3 x 29 = 174
Greatest Common Factor of 348,522 By Matching Biggest Common Factor Method
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 522
:1,2,3,6,9,18,29,58,87,174,261,522
Greatest Common Factor
We found the factors 348,522 . The biggest common factor number is the GCF number.
So the greatest common factor 348,522 is 174.
Lets's calculate LCM of 33,3708
| 3 | 33, 3708 |
| 11, 1236 |
∴ So the LCM of the given numbers is 3 x 11 x 1236 = 40788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 174/40788
Therefore, the GCF of Fractions 348/33,522/3708 is 174/40788
Least Common Multiple of 33,3708 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 33,3708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,3708) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(33,3708) x common factors =3 x 1 = 3
LCM(33,3708) = ( 33 × 3708 ) / 3
LCM(33,3708) = 122364 / 3
LCM(33,3708) = 40788
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FAQs on GCF of Fractions of 348/33, 522/3708
1. What is the HCF of 348,522?
The HCF of 348,522 is 174
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 348/33, 522/3708?
Answer: GCF of Numerators as per given numbers 348/33, 522/3708 is
GCF of Numerators i.e. for 348,522 is 174
LCM of denominators i.e. for 33,3708 is 40788.
Thus, GCF of Fractions is 174/40788.Finally, GCF of Fractions for 348/33, 522/3708 is 174/40788.