GCF of 439/531, 312/198, 307/234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 439/531, 312/198, 307/234 i.e 1/151866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 439/531, 312/198, 307/234.
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 439/531,312/198,307/234?
Given fractions are 439/531,312/198,307/234
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 439/531,312/198,307/234, numerators are 439,312,307
Denominators are 531,198,234
The GCF of 439,312,307 is 1 .
LCM of 531,198,234 is 151866.
The greatest common factor of 439/531,312/198,307/234 = [GCF of 439,312,307]/[LCM of 531,198,234]= 1/151866
Therefore, the GCF of 439/531,312/198,307/234 is 1/151866.
To find the highest common factor of 439,312,307, we have to find the factors of both numbers and list the highest common factor.
The factors of 439 are 1, 439
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The factors of 307 are 1, 307
The HCF of 439,312,307 is 1.
Lets's calculate GCF of 439,312,307
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 439,312,307 By Matching Biggest Common Factor Method
Now, list down the factors of 439
:1,439
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Now, list down the factors of 307
:1,307
Greatest Common Factor
We found the factors 439,312,307 . The biggest common factor number is the GCF number.
So the greatest common factor 439,312,307 is 1.
Lets's calculate LCM of 531,198,234
| 2 | 531, 198, 234 |
| 3 | 531, 99, 117 |
| 3 | 177, 33, 39 |
| 59, 11, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 59 x 11 x 13 = 151866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151866
Therefore, the GCF of Fractions 439/531,312/198,307/234 is 1/151866
Least Common Multiple of 531,198,234 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 531,198,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,198,234) = 9
common factors(in case of two or more numbers have common factors) = 18
GCF(531,198,234) x common factors =9 x 18 = 162
LCM(531,198,234) = ( 531 × 198 × 234 ) / 162
LCM(531,198,234) = 24602292 / 162
LCM(531,198,234) = 151866
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FAQs on GCF of Fractions of 439/531, 312/198, 307/234
1. What is the HCF of 439,312,307?
The HCF of 439,312,307 is 1
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 439/531, 312/198, 307/234?
Answer: GCF of Numerators as per given numbers 439/531, 312/198, 307/234 is
GCF of Numerators i.e. for 439,312,307 is 1
LCM of denominators i.e. for 531,198,234 is 151866.
Thus, GCF of Fractions is 1/151866.Finally, GCF of Fractions for 439/531, 312/198, 307/234 is 1/151866.