GCF of 34/51, 79/54, 755/936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/51, 79/54, 755/936 i.e 1/47736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/51, 79/54, 755/936.
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 34/51,79/54,755/936?
Given fractions are 34/51,79/54,755/936
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 34/51,79/54,755/936, numerators are 34,79,755
Denominators are 51,54,936
The GCF of 34,79,755 is 1 .
LCM of 51,54,936 is 47736.
The greatest common factor of 34/51,79/54,755/936 = [GCF of 34,79,755]/[LCM of 51,54,936]= 1/47736
Therefore, the GCF of 34/51,79/54,755/936 is 1/47736.
To find the highest common factor of 34,79,755, 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 79 are 1, 79
The factors of 755 are 1, 5, 151, 755
The HCF of 34,79,755 is 1.
Lets's calculate GCF of 34,79,755
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,79,755 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 79
:1,79
Now, list down the factors of 755
:1,5,151,755
Greatest Common Factor
We found the factors 34,79,755 . The biggest common factor number is the GCF number.
So the greatest common factor 34,79,755 is 1.
Lets's calculate LCM of 51,54,936
| 2 | 51, 54, 936 |
| 3 | 51, 27, 468 |
| 3 | 17, 9, 156 |
| 17, 3, 52 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 3 x 52 = 47736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47736
Therefore, the GCF of Fractions 34/51,79/54,755/936 is 1/47736
Least Common Multiple of 51,54,936 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 51,54,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,54,936) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(51,54,936) x common factors =3 x 18 = 54
LCM(51,54,936) = ( 51 × 54 × 936 ) / 54
LCM(51,54,936) = 2577744 / 54
LCM(51,54,936) = 47736
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FAQs on GCF of Fractions of 34/51, 79/54, 755/936
1. What is the HCF of 34,79,755?
The HCF of 34,79,755 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 34/51, 79/54, 755/936?
Answer: GCF of Numerators as per given numbers 34/51, 79/54, 755/936 is
GCF of Numerators i.e. for 34,79,755 is 1
LCM of denominators i.e. for 51,54,936 is 47736.
Thus, GCF of Fractions is 1/47736.Finally, GCF of Fractions for 34/51, 79/54, 755/936 is 1/47736.