GCF of 976/49, 344/30, 359/20
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 976/49, 344/30, 359/20 i.e 1/2940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/49, 344/30, 359/20.
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 976/49,344/30,359/20?
Given fractions are 976/49,344/30,359/20
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 976/49,344/30,359/20, numerators are 976,344,359
Denominators are 49,30,20
The GCF of 976,344,359 is 1 .
LCM of 49,30,20 is 2940.
The greatest common factor of 976/49,344/30,359/20 = [GCF of 976,344,359]/[LCM of 49,30,20]= 1/2940
Therefore, the GCF of 976/49,344/30,359/20 is 1/2940.
To find the highest common factor of 976,344,359, we have to find the factors of both numbers and list the highest common factor.
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The factors of 359 are 1, 359
The HCF of 976,344,359 is 1.
Lets's calculate GCF of 976,344,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 976,344,359 By Matching Biggest Common Factor Method
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Now, list down the factors of 359
:1,359
Greatest Common Factor
We found the factors 976,344,359 . The biggest common factor number is the GCF number.
So the greatest common factor 976,344,359 is 1.
Lets's calculate LCM of 49,30,20
| 2 | 49, 30, 20 |
| 5 | 49, 15, 10 |
| 49, 3, 2 |
∴ So the LCM of the given numbers is 2 x 5 x 49 x 3 x 2 = 2940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2940
Therefore, the GCF of Fractions 976/49,344/30,359/20 is 1/2940
Least Common Multiple of 49,30,20 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 49,30,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,30,20) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(49,30,20) x common factors =1 x 10 = 10
LCM(49,30,20) = ( 49 × 30 × 20 ) / 10
LCM(49,30,20) = 29400 / 10
LCM(49,30,20) = 2940
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FAQs on GCF of Fractions of 976/49, 344/30, 359/20
1. What is the HCF of 976,344,359?
The HCF of 976,344,359 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 976/49, 344/30, 359/20?
Answer: GCF of Numerators as per given numbers 976/49, 344/30, 359/20 is
GCF of Numerators i.e. for 976,344,359 is 1
LCM of denominators i.e. for 49,30,20 is 2940.
Thus, GCF of Fractions is 1/2940.Finally, GCF of Fractions for 976/49, 344/30, 359/20 is 1/2940.