GCF of 393/960, 234/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 393/960, 234/974 i.e 3/467520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 393/960, 234/974.
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 393/960,234/974?
Given fractions are 393/960,234/974
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 393/960,234/974, numerators are 393,234
Denominators are 960,974
The GCF of 393,234 is 3 .
LCM of 960,974 is 467520.
The greatest common factor of 393/960,234/974 = [GCF of 393,234]/[LCM of 960,974]= 3/467520
Therefore, the GCF of 393/960,234/974 is 3/467520.
To find the highest common factor of 393,234, we have to find the factors of both numbers and list the highest common factor.
The factors of 393 are 1, 3, 131, 393
The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
The HCF of 393,234 is 3.
Lets's calculate GCF of 393,234
| 3 | 393, 234 |
| 131, 78 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 393,234 By Matching Biggest Common Factor Method
Now, list down the factors of 393
:1,3,131,393
Now, list down the factors of 234
:1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 393,234 . The biggest common factor number is the GCF number.
So the greatest common factor 393,234 is 3.
Lets's calculate LCM of 960,974
| 2 | 960, 974 |
| 480, 487 |
∴ So the LCM of the given numbers is 2 x 480 x 487 = 467520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/467520
Therefore, the GCF of Fractions 393/960,234/974 is 3/467520
Least Common Multiple of 960,974 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 960,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(960,974) x common factors =2 x 1 = 2
LCM(960,974) = ( 960 × 974 ) / 2
LCM(960,974) = 935040 / 2
LCM(960,974) = 467520
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FAQs on GCF of Fractions of 393/960, 234/974
1. What is the HCF of 393,234?
The HCF of 393,234 is 3
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 393/960, 234/974?
Answer: GCF of Numerators as per given numbers 393/960, 234/974 is
GCF of Numerators i.e. for 393,234 is 3
LCM of denominators i.e. for 960,974 is 467520.
Thus, GCF of Fractions is 3/467520.Finally, GCF of Fractions for 393/960, 234/974 is 3/467520.