GCF of 34/976, 15/635, 977/366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/976, 15/635, 977/366 i.e 1/1859280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/976, 15/635, 977/366.
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 34/976,15/635,977/366?
Given fractions are 34/976,15/635,977/366
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 34/976,15/635,977/366, numerators are 34,15,977
Denominators are 976,635,366
The GCF of 34,15,977 is 1 .
LCM of 976,635,366 is 1859280.
The greatest common factor of 34/976,15/635,977/366 = [GCF of 34,15,977]/[LCM of 976,635,366]= 1/1859280
Therefore, the GCF of 34/976,15/635,977/366 is 1/1859280.
To find the highest common factor of 34,15,977, 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 15 are 1, 3, 5, 15
The factors of 977 are 1, 977
The HCF of 34,15,977 is 1.
Lets's calculate GCF of 34,15,977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,15,977 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 977
:1,977
Greatest Common Factor
We found the factors 34,15,977 . The biggest common factor number is the GCF number.
So the greatest common factor 34,15,977 is 1.
Lets's calculate LCM of 976,635,366
| 2 | 976, 635, 366 |
| 61 | 488, 635, 183 |
| 8, 635, 3 |
∴ So the LCM of the given numbers is 2 x 61 x 8 x 635 x 3 = 1859280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1859280
Therefore, the GCF of Fractions 34/976,15/635,977/366 is 1/1859280
Least Common Multiple of 976,635,366 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 976,635,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,635,366) = 1
common factors(in case of two or more numbers have common factors) = 122
GCF(976,635,366) x common factors =1 x 122 = 122
LCM(976,635,366) = ( 976 × 635 × 366 ) / 122
LCM(976,635,366) = 226832160 / 122
LCM(976,635,366) = 1859280
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FAQs on GCF of Fractions of 34/976, 15/635, 977/366
1. What is the HCF of 34,15,977?
The HCF of 34,15,977 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 34/976, 15/635, 977/366?
Answer: GCF of Numerators as per given numbers 34/976, 15/635, 977/366 is
GCF of Numerators i.e. for 34,15,977 is 1
LCM of denominators i.e. for 976,635,366 is 1859280.
Thus, GCF of Fractions is 1/1859280.Finally, GCF of Fractions for 34/976, 15/635, 977/366 is 1/1859280.