GCF of 49/650, 58/383, 296/124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 49/650, 58/383, 296/124 i.e 1/15434900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/650, 58/383, 296/124.
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 49/650,58/383,296/124?
Given fractions are 49/650,58/383,296/124
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 49/650,58/383,296/124, numerators are 49,58,296
Denominators are 650,383,124
The GCF of 49,58,296 is 1 .
LCM of 650,383,124 is 15434900.
The greatest common factor of 49/650,58/383,296/124 = [GCF of 49,58,296]/[LCM of 650,383,124]= 1/15434900
Therefore, the GCF of 49/650,58/383,296/124 is 1/15434900.
To find the highest common factor of 49,58,296, we have to find the factors of both numbers and list the highest common factor.
The factors of 49 are 1, 7, 49
The factors of 58 are 1, 2, 29, 58
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296
The HCF of 49,58,296 is 1.
Lets's calculate GCF of 49,58,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 49,58,296 By Matching Biggest Common Factor Method
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 58
:1,2,29,58
Now, list down the factors of 296
:1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 49,58,296 . The biggest common factor number is the GCF number.
So the greatest common factor 49,58,296 is 1.
Lets's calculate LCM of 650,383,124
| 2 | 650, 383, 124 |
| 325, 383, 62 |
∴ So the LCM of the given numbers is 2 x 325 x 383 x 62 = 15434900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15434900
Therefore, the GCF of Fractions 49/650,58/383,296/124 is 1/15434900
Least Common Multiple of 650,383,124 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 650,383,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,383,124) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(650,383,124) x common factors =1 x 2 = 2
LCM(650,383,124) = ( 650 × 383 × 124 ) / 2
LCM(650,383,124) = 30869800 / 2
LCM(650,383,124) = 15434900
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FAQs on GCF of Fractions of 49/650, 58/383, 296/124
1. What is the HCF of 49,58,296?
The HCF of 49,58,296 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 49/650, 58/383, 296/124?
Answer: GCF of Numerators as per given numbers 49/650, 58/383, 296/124 is
GCF of Numerators i.e. for 49,58,296 is 1
LCM of denominators i.e. for 650,383,124 is 15434900.
Thus, GCF of Fractions is 1/15434900.Finally, GCF of Fractions for 49/650, 58/383, 296/124 is 1/15434900.