GCF of 463/385, 138/357, 470/671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 463/385, 138/357, 470/671 i.e 1/1197735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 463/385, 138/357, 470/671.
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 463/385,138/357,470/671?
Given fractions are 463/385,138/357,470/671
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 463/385,138/357,470/671, numerators are 463,138,470
Denominators are 385,357,671
The GCF of 463,138,470 is 1 .
LCM of 385,357,671 is 1197735.
The greatest common factor of 463/385,138/357,470/671 = [GCF of 463,138,470]/[LCM of 385,357,671]= 1/1197735
Therefore, the GCF of 463/385,138/357,470/671 is 1/1197735.
To find the highest common factor of 463,138,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 463 are 1, 463
The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 463,138,470 is 1.
Lets's calculate GCF of 463,138,470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 463,138,470 By Matching Biggest Common Factor Method
Now, list down the factors of 463
:1,463
Now, list down the factors of 138
:1,2,3,6,23,46,69,138
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 463,138,470 . The biggest common factor number is the GCF number.
So the greatest common factor 463,138,470 is 1.
Lets's calculate LCM of 385,357,671
| 7 | 385, 357, 671 |
| 11 | 55, 51, 671 |
| 5, 51, 61 |
∴ So the LCM of the given numbers is 7 x 11 x 5 x 51 x 61 = 1197735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1197735
Therefore, the GCF of Fractions 463/385,138/357,470/671 is 1/1197735
Least Common Multiple of 385,357,671 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 385,357,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,357,671) = 1
common factors(in case of two or more numbers have common factors) = 77
GCF(385,357,671) x common factors =1 x 77 = 77
LCM(385,357,671) = ( 385 × 357 × 671 ) / 77
LCM(385,357,671) = 92225595 / 77
LCM(385,357,671) = 1197735
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FAQs on GCF of Fractions of 463/385, 138/357, 470/671
1. What is the HCF of 463,138,470?
The HCF of 463,138,470 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 463/385, 138/357, 470/671?
Answer: GCF of Numerators as per given numbers 463/385, 138/357, 470/671 is
GCF of Numerators i.e. for 463,138,470 is 1
LCM of denominators i.e. for 385,357,671 is 1197735.
Thus, GCF of Fractions is 1/1197735.Finally, GCF of Fractions for 463/385, 138/357, 470/671 is 1/1197735.