GCF of 2896/758, 3098/448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2896/758, 3098/448 i.e 2/169792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2896/758, 3098/448.
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 2896/758,3098/448?
Given fractions are 2896/758,3098/448
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 2896/758,3098/448, numerators are 2896,3098
Denominators are 758,448
The GCF of 2896,3098 is 2 .
LCM of 758,448 is 169792.
The greatest common factor of 2896/758,3098/448 = [GCF of 2896,3098]/[LCM of 758,448]= 2/169792
Therefore, the GCF of 2896/758,3098/448 is 2/169792.
To find the highest common factor of 2896,3098, we have to find the factors of both numbers and list the highest common factor.
The factors of 2896 are 1, 2, 4, 8, 16, 181, 362, 724, 1448, 2896
The factors of 3098 are 1, 2, 1549, 3098
The HCF of 2896,3098 is 2.
Lets's calculate GCF of 2896,3098
| 2 | 2896, 3098 |
| 1448, 1549 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2896,3098 By Matching Biggest Common Factor Method
Now, list down the factors of 2896
:1,2,4,8,16,181,362,724,1448,2896
Now, list down the factors of 3098
:1,2,1549,3098
Greatest Common Factor
We found the factors 2896,3098 . The biggest common factor number is the GCF number.
So the greatest common factor 2896,3098 is 2.
Lets's calculate LCM of 758,448
| 2 | 758, 448 |
| 379, 224 |
∴ So the LCM of the given numbers is 2 x 379 x 224 = 169792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/169792
Therefore, the GCF of Fractions 2896/758,3098/448 is 2/169792
Least Common Multiple of 758,448 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 758,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,448) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,448) x common factors =2 x 1 = 2
LCM(758,448) = ( 758 × 448 ) / 2
LCM(758,448) = 339584 / 2
LCM(758,448) = 169792
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FAQs on GCF of Fractions of 2896/758, 3098/448
1. What is the HCF of 2896,3098?
The HCF of 2896,3098 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 2896/758, 3098/448?
Answer: GCF of Numerators as per given numbers 2896/758, 3098/448 is
GCF of Numerators i.e. for 2896,3098 is 2
LCM of denominators i.e. for 758,448 is 169792.
Thus, GCF of Fractions is 2/169792.Finally, GCF of Fractions for 2896/758, 3098/448 is 2/169792.