GCF of 9354/218, 8078/3204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9354/218, 8078/3204 i.e 2/349236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9354/218, 8078/3204.
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 9354/218,8078/3204?
Given fractions are 9354/218,8078/3204
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 9354/218,8078/3204, numerators are 9354,8078
Denominators are 218,3204
The GCF of 9354,8078 is 2 .
LCM of 218,3204 is 349236.
The greatest common factor of 9354/218,8078/3204 = [GCF of 9354,8078]/[LCM of 218,3204]= 2/349236
Therefore, the GCF of 9354/218,8078/3204 is 2/349236.
To find the highest common factor of 9354,8078, we have to find the factors of both numbers and list the highest common factor.
The factors of 9354 are 1, 2, 3, 6, 1559, 3118, 4677, 9354
The factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078
The HCF of 9354,8078 is 2.
Lets's calculate GCF of 9354,8078
| 2 | 9354, 8078 |
| 4677, 4039 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9354,8078 By Matching Biggest Common Factor Method
Now, list down the factors of 9354
:1,2,3,6,1559,3118,4677,9354
Now, list down the factors of 8078
:1,2,7,14,577,1154,4039,8078
Greatest Common Factor
We found the factors 9354,8078 . The biggest common factor number is the GCF number.
So the greatest common factor 9354,8078 is 2.
Lets's calculate LCM of 218,3204
| 2 | 218, 3204 |
| 109, 1602 |
∴ So the LCM of the given numbers is 2 x 109 x 1602 = 349236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/349236
Therefore, the GCF of Fractions 9354/218,8078/3204 is 2/349236
Least Common Multiple of 218,3204 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 218,3204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,3204) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,3204) x common factors =2 x 1 = 2
LCM(218,3204) = ( 218 × 3204 ) / 2
LCM(218,3204) = 698472 / 2
LCM(218,3204) = 349236
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FAQs on GCF of Fractions of 9354/218, 8078/3204
1. What is the HCF of 9354,8078?
The HCF of 9354,8078 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 9354/218, 8078/3204?
Answer: GCF of Numerators as per given numbers 9354/218, 8078/3204 is
GCF of Numerators i.e. for 9354,8078 is 2
LCM of denominators i.e. for 218,3204 is 349236.
Thus, GCF of Fractions is 2/349236.Finally, GCF of Fractions for 9354/218, 8078/3204 is 2/349236.