GCF of 532/522, 2378/204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 532/522, 2378/204 i.e 2/17748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/522, 2378/204.
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 532/522,2378/204?
Given fractions are 532/522,2378/204
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 532/522,2378/204, numerators are 532,2378
Denominators are 522,204
The GCF of 532,2378 is 2 .
LCM of 522,204 is 17748.
The greatest common factor of 532/522,2378/204 = [GCF of 532,2378]/[LCM of 522,204]= 2/17748
Therefore, the GCF of 532/522,2378/204 is 2/17748.
To find the highest common factor of 532,2378, we have to find the factors of both numbers and list the highest common factor.
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378
The HCF of 532,2378 is 2.
Lets's calculate GCF of 532,2378
| 2 | 532, 2378 |
| 266, 1189 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 532,2378 By Matching Biggest Common Factor Method
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Now, list down the factors of 2378
:1,2,29,41,58,82,1189,2378
Greatest Common Factor
We found the factors 532,2378 . The biggest common factor number is the GCF number.
So the greatest common factor 532,2378 is 2.
Lets's calculate LCM of 522,204
| 2 | 522, 204 |
| 3 | 261, 102 |
| 87, 34 |
∴ So the LCM of the given numbers is 2 x 3 x 87 x 34 = 17748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17748
Therefore, the GCF of Fractions 532/522,2378/204 is 2/17748
Least Common Multiple of 522,204 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 522,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,204) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(522,204) x common factors =6 x 1 = 6
LCM(522,204) = ( 522 × 204 ) / 6
LCM(522,204) = 106488 / 6
LCM(522,204) = 17748
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FAQs on GCF of Fractions of 532/522, 2378/204
1. What is the HCF of 532,2378?
The HCF of 532,2378 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 532/522, 2378/204?
Answer: GCF of Numerators as per given numbers 532/522, 2378/204 is
GCF of Numerators i.e. for 532,2378 is 2
LCM of denominators i.e. for 522,204 is 17748.
Thus, GCF of Fractions is 2/17748.Finally, GCF of Fractions for 532/522, 2378/204 is 2/17748.