GCF of 43/216, 129/757, 387/930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/216, 129/757, 387/930 i.e 43/25344360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/216, 129/757, 387/930.
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 43/216,129/757,387/930?
Given fractions are 43/216,129/757,387/930
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 43/216,129/757,387/930, numerators are 43,129,387
Denominators are 216,757,930
The GCF of 43,129,387 is 43 .
LCM of 216,757,930 is 25344360.
The greatest common factor of 43/216,129/757,387/930 = [GCF of 43,129,387]/[LCM of 216,757,930]= 43/25344360
Therefore, the GCF of 43/216,129/757,387/930 is 43/25344360.
To find the highest common factor of 43,129,387, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 129 are 1, 3, 43, 129
The factors of 387 are 1, 3, 9, 43, 129, 387
The HCF of 43,129,387 is 43.
Lets's calculate GCF of 43,129,387
| 43 | 43, 129, 387 |
| 1, 3, 9 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 43,129,387 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 129
:1,3,43,129
Now, list down the factors of 387
:1,3,9,43,129,387
Greatest Common Factor
We found the factors 43,129,387 . The biggest common factor number is the GCF number.
So the greatest common factor 43,129,387 is 43.
Lets's calculate LCM of 216,757,930
| 2 | 216, 757, 930 |
| 3 | 108, 757, 465 |
| 36, 757, 155 |
∴ So the LCM of the given numbers is 2 x 3 x 36 x 757 x 155 = 25344360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/25344360
Therefore, the GCF of Fractions 43/216,129/757,387/930 is 43/25344360
Least Common Multiple of 216,757,930 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 216,757,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,757,930) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(216,757,930) x common factors =1 x 6 = 6
LCM(216,757,930) = ( 216 × 757 × 930 ) / 6
LCM(216,757,930) = 152066160 / 6
LCM(216,757,930) = 25344360
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FAQs on GCF of Fractions of 43/216, 129/757, 387/930
1. What is the HCF of 43,129,387?
The HCF of 43,129,387 is 43
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 43/216, 129/757, 387/930?
Answer: GCF of Numerators as per given numbers 43/216, 129/757, 387/930 is
GCF of Numerators i.e. for 43,129,387 is 43
LCM of denominators i.e. for 216,757,930 is 25344360.
Thus, GCF of Fractions is 43/25344360.Finally, GCF of Fractions for 43/216, 129/757, 387/930 is 43/25344360.