GCF of 34/415, 12/340, 956/943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/415, 12/340, 956/943 i.e 2/26611460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/415, 12/340, 956/943.
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 34/415,12/340,956/943?
Given fractions are 34/415,12/340,956/943
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 34/415,12/340,956/943, numerators are 34,12,956
Denominators are 415,340,943
The GCF of 34,12,956 is 2 .
LCM of 415,340,943 is 26611460.
The greatest common factor of 34/415,12/340,956/943 = [GCF of 34,12,956]/[LCM of 415,340,943]= 2/26611460
Therefore, the GCF of 34/415,12/340,956/943 is 2/26611460.
To find the highest common factor of 34,12,956, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 956 are 1, 2, 4, 239, 478, 956
The HCF of 34,12,956 is 2.
Lets's calculate GCF of 34,12,956
| 2 | 34, 12, 956 |
| 17, 6, 478 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,12,956 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 956
:1,2,4,239,478,956
Greatest Common Factor
We found the factors 34,12,956 . The biggest common factor number is the GCF number.
So the greatest common factor 34,12,956 is 2.
Lets's calculate LCM of 415,340,943
| 5 | 415, 340, 943 |
| 83, 68, 943 |
∴ So the LCM of the given numbers is 5 x 83 x 68 x 943 = 26611460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26611460
Therefore, the GCF of Fractions 34/415,12/340,956/943 is 2/26611460
Least Common Multiple of 415,340,943 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 415,340,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,340,943) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(415,340,943) x common factors =1 x 5 = 5
LCM(415,340,943) = ( 415 × 340 × 943 ) / 5
LCM(415,340,943) = 133057300 / 5
LCM(415,340,943) = 26611460
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FAQs on GCF of Fractions of 34/415, 12/340, 956/943
1. What is the HCF of 34,12,956?
The HCF of 34,12,956 is 2
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 34/415, 12/340, 956/943?
Answer: GCF of Numerators as per given numbers 34/415, 12/340, 956/943 is
GCF of Numerators i.e. for 34,12,956 is 2
LCM of denominators i.e. for 415,340,943 is 26611460.
Thus, GCF of Fractions is 2/26611460.Finally, GCF of Fractions for 34/415, 12/340, 956/943 is 2/26611460.