GCF of 3453/114, 9825/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3453/114, 9825/322 i.e 3/18354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3453/114, 9825/322.
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 3453/114,9825/322?
Given fractions are 3453/114,9825/322
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 3453/114,9825/322, numerators are 3453,9825
Denominators are 114,322
The GCF of 3453,9825 is 3 .
LCM of 114,322 is 18354.
The greatest common factor of 3453/114,9825/322 = [GCF of 3453,9825]/[LCM of 114,322]= 3/18354
Therefore, the GCF of 3453/114,9825/322 is 3/18354.
To find the highest common factor of 3453,9825, we have to find the factors of both numbers and list the highest common factor.
The factors of 3453 are 1, 3, 1151, 3453
The factors of 9825 are 1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825
The HCF of 3453,9825 is 3.
Lets's calculate GCF of 3453,9825
| 3 | 3453, 9825 |
| 1151, 3275 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3453,9825 By Matching Biggest Common Factor Method
Now, list down the factors of 3453
:1,3,1151,3453
Now, list down the factors of 9825
:1,3,5,15,25,75,131,393,655,1965,3275,9825
Greatest Common Factor
We found the factors 3453,9825 . The biggest common factor number is the GCF number.
So the greatest common factor 3453,9825 is 3.
Lets's calculate LCM of 114,322
| 2 | 114, 322 |
| 57, 161 |
∴ So the LCM of the given numbers is 2 x 57 x 161 = 18354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18354
Therefore, the GCF of Fractions 3453/114,9825/322 is 3/18354
Least Common Multiple of 114,322 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 114,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,322) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(114,322) x common factors =2 x 1 = 2
LCM(114,322) = ( 114 × 322 ) / 2
LCM(114,322) = 36708 / 2
LCM(114,322) = 18354
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FAQs on GCF of Fractions of 3453/114, 9825/322
1. What is the HCF of 3453,9825?
The HCF of 3453,9825 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 3453/114, 9825/322?
Answer: GCF of Numerators as per given numbers 3453/114, 9825/322 is
GCF of Numerators i.e. for 3453,9825 is 3
LCM of denominators i.e. for 114,322 is 18354.
Thus, GCF of Fractions is 3/18354.Finally, GCF of Fractions for 3453/114, 9825/322 is 3/18354.