GCF of 978/332, 345/233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 978/332, 345/233 i.e 3/77356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 978/332, 345/233.
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 978/332,345/233?
Given fractions are 978/332,345/233
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 978/332,345/233, numerators are 978,345
Denominators are 332,233
The GCF of 978,345 is 3 .
LCM of 332,233 is 77356.
The greatest common factor of 978/332,345/233 = [GCF of 978,345]/[LCM of 332,233]= 3/77356
Therefore, the GCF of 978/332,345/233 is 3/77356.
To find the highest common factor of 978,345, we have to find the factors of both numbers and list the highest common factor.
The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978
The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345
The HCF of 978,345 is 3.
Lets's calculate GCF of 978,345
| 3 | 978, 345 |
| 326, 115 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 978,345 By Matching Biggest Common Factor Method
Now, list down the factors of 978
:1,2,3,6,163,326,489,978
Now, list down the factors of 345
:1,3,5,15,23,69,115,345
Greatest Common Factor
We found the factors 978,345 . The biggest common factor number is the GCF number.
So the greatest common factor 978,345 is 3.
Lets's calculate LCM of 332,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 77356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/77356
Therefore, the GCF of Fractions 978/332,345/233 is 3/77356
Least Common Multiple of 332,233 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 332,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,233) x common factors =1 x 1 = 1
LCM(332,233) = ( 332 × 233 ) / 1
LCM(332,233) = 77356 / 1
LCM(332,233) = 77356
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FAQs on GCF of Fractions of 978/332, 345/233
1. What is the HCF of 978,345?
The HCF of 978,345 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 978/332, 345/233?
Answer: GCF of Numerators as per given numbers 978/332, 345/233 is
GCF of Numerators i.e. for 978,345 is 3
LCM of denominators i.e. for 332,233 is 77356.
Thus, GCF of Fractions is 3/77356.Finally, GCF of Fractions for 978/332, 345/233 is 3/77356.