GCF of 6128/296, 5962/1582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6128/296, 5962/1582 i.e 2/234136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6128/296, 5962/1582.
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 6128/296,5962/1582?
Given fractions are 6128/296,5962/1582
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 6128/296,5962/1582, numerators are 6128,5962
Denominators are 296,1582
The GCF of 6128,5962 is 2 .
LCM of 296,1582 is 234136.
The greatest common factor of 6128/296,5962/1582 = [GCF of 6128,5962]/[LCM of 296,1582]= 2/234136
Therefore, the GCF of 6128/296,5962/1582 is 2/234136.
To find the highest common factor of 6128,5962, we have to find the factors of both numbers and list the highest common factor.
The factors of 6128 are 1, 2, 4, 8, 16, 383, 766, 1532, 3064, 6128
The factors of 5962 are 1, 2, 11, 22, 271, 542, 2981, 5962
The HCF of 6128,5962 is 2.
Lets's calculate GCF of 6128,5962
| 2 | 6128, 5962 |
| 3064, 2981 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6128,5962 By Matching Biggest Common Factor Method
Now, list down the factors of 6128
:1,2,4,8,16,383,766,1532,3064,6128
Now, list down the factors of 5962
:1,2,11,22,271,542,2981,5962
Greatest Common Factor
We found the factors 6128,5962 . The biggest common factor number is the GCF number.
So the greatest common factor 6128,5962 is 2.
Lets's calculate LCM of 296,1582
| 2 | 296, 1582 |
| 148, 791 |
∴ So the LCM of the given numbers is 2 x 148 x 791 = 234136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/234136
Therefore, the GCF of Fractions 6128/296,5962/1582 is 2/234136
Least Common Multiple of 296,1582 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 296,1582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,1582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(296,1582) x common factors =2 x 1 = 2
LCM(296,1582) = ( 296 × 1582 ) / 2
LCM(296,1582) = 468272 / 2
LCM(296,1582) = 234136
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FAQs on GCF of Fractions of 6128/296, 5962/1582
1. What is the HCF of 6128,5962?
The HCF of 6128,5962 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 6128/296, 5962/1582?
Answer: GCF of Numerators as per given numbers 6128/296, 5962/1582 is
GCF of Numerators i.e. for 6128,5962 is 2
LCM of denominators i.e. for 296,1582 is 234136.
Thus, GCF of Fractions is 2/234136.Finally, GCF of Fractions for 6128/296, 5962/1582 is 2/234136.