GCF of 435/391, 397/418, 381/530
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 435/391, 397/418, 381/530 i.e 1/43311070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 435/391, 397/418, 381/530.
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 435/391,397/418,381/530?
Given fractions are 435/391,397/418,381/530
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 435/391,397/418,381/530, numerators are 435,397,381
Denominators are 391,418,530
The GCF of 435,397,381 is 1 .
LCM of 391,418,530 is 43311070.
The greatest common factor of 435/391,397/418,381/530 = [GCF of 435,397,381]/[LCM of 391,418,530]= 1/43311070
Therefore, the GCF of 435/391,397/418,381/530 is 1/43311070.
To find the highest common factor of 435,397,381, we have to find the factors of both numbers and list the highest common factor.
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435
The factors of 397 are 1, 397
The factors of 381 are 1, 3, 127, 381
The HCF of 435,397,381 is 1.
Lets's calculate GCF of 435,397,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 435,397,381 By Matching Biggest Common Factor Method
Now, list down the factors of 435
:1,3,5,15,29,87,145,435
Now, list down the factors of 397
:1,397
Now, list down the factors of 381
:1,3,127,381
Greatest Common Factor
We found the factors 435,397,381 . The biggest common factor number is the GCF number.
So the greatest common factor 435,397,381 is 1.
Lets's calculate LCM of 391,418,530
| 2 | 391, 418, 530 |
| 391, 209, 265 |
∴ So the LCM of the given numbers is 2 x 391 x 209 x 265 = 43311070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43311070
Therefore, the GCF of Fractions 435/391,397/418,381/530 is 1/43311070
Least Common Multiple of 391,418,530 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 391,418,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,418,530) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(391,418,530) x common factors =1 x 2 = 2
LCM(391,418,530) = ( 391 × 418 × 530 ) / 2
LCM(391,418,530) = 86622140 / 2
LCM(391,418,530) = 43311070
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FAQs on GCF of Fractions of 435/391, 397/418, 381/530
1. What is the HCF of 435,397,381?
The HCF of 435,397,381 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 435/391, 397/418, 381/530?
Answer: GCF of Numerators as per given numbers 435/391, 397/418, 381/530 is
GCF of Numerators i.e. for 435,397,381 is 1
LCM of denominators i.e. for 391,418,530 is 43311070.
Thus, GCF of Fractions is 1/43311070.Finally, GCF of Fractions for 435/391, 397/418, 381/530 is 1/43311070.