GCF of 39/433, 310/924, 289/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/433, 310/924, 289/974 i.e 1/194844804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/433, 310/924, 289/974.
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 39/433,310/924,289/974?
Given fractions are 39/433,310/924,289/974
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 39/433,310/924,289/974, numerators are 39,310,289
Denominators are 433,924,974
The GCF of 39,310,289 is 1 .
LCM of 433,924,974 is 194844804.
The greatest common factor of 39/433,310/924,289/974 = [GCF of 39,310,289]/[LCM of 433,924,974]= 1/194844804
Therefore, the GCF of 39/433,310/924,289/974 is 1/194844804.
To find the highest common factor of 39,310,289, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310
The factors of 289 are 1, 17, 289
The HCF of 39,310,289 is 1.
Lets's calculate GCF of 39,310,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,310,289 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 310
:1,2,5,10,31,62,155,310
Now, list down the factors of 289
:1,17,289
Greatest Common Factor
We found the factors 39,310,289 . The biggest common factor number is the GCF number.
So the greatest common factor 39,310,289 is 1.
Lets's calculate LCM of 433,924,974
| 2 | 433, 924, 974 |
| 433, 462, 487 |
∴ So the LCM of the given numbers is 2 x 433 x 462 x 487 = 194844804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194844804
Therefore, the GCF of Fractions 39/433,310/924,289/974 is 1/194844804
Least Common Multiple of 433,924,974 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 433,924,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,924,974) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(433,924,974) x common factors =1 x 2 = 2
LCM(433,924,974) = ( 433 × 924 × 974 ) / 2
LCM(433,924,974) = 389689608 / 2
LCM(433,924,974) = 194844804
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FAQs on GCF of Fractions of 39/433, 310/924, 289/974
1. What is the HCF of 39,310,289?
The HCF of 39,310,289 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 39/433, 310/924, 289/974?
Answer: GCF of Numerators as per given numbers 39/433, 310/924, 289/974 is
GCF of Numerators i.e. for 39,310,289 is 1
LCM of denominators i.e. for 433,924,974 is 194844804.
Thus, GCF of Fractions is 1/194844804.Finally, GCF of Fractions for 39/433, 310/924, 289/974 is 1/194844804.