GCF of 758/274, 2546/898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 758/274, 2546/898 i.e 2/123026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/274, 2546/898.
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 758/274,2546/898?
Given fractions are 758/274,2546/898
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 758/274,2546/898, numerators are 758,2546
Denominators are 274,898
The GCF of 758,2546 is 2 .
LCM of 274,898 is 123026.
The greatest common factor of 758/274,2546/898 = [GCF of 758,2546]/[LCM of 274,898]= 2/123026
Therefore, the GCF of 758/274,2546/898 is 2/123026.
To find the highest common factor of 758,2546, we have to find the factors of both numbers and list the highest common factor.
The factors of 758 are 1, 2, 379, 758
The factors of 2546 are 1, 2, 19, 38, 67, 134, 1273, 2546
The HCF of 758,2546 is 2.
Lets's calculate GCF of 758,2546
| 2 | 758, 2546 |
| 379, 1273 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 758,2546 By Matching Biggest Common Factor Method
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 2546
:1,2,19,38,67,134,1273,2546
Greatest Common Factor
We found the factors 758,2546 . The biggest common factor number is the GCF number.
So the greatest common factor 758,2546 is 2.
Lets's calculate LCM of 274,898
| 2 | 274, 898 |
| 137, 449 |
∴ So the LCM of the given numbers is 2 x 137 x 449 = 123026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/123026
Therefore, the GCF of Fractions 758/274,2546/898 is 2/123026
Least Common Multiple of 274,898 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 274,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,898) x common factors =2 x 1 = 2
LCM(274,898) = ( 274 × 898 ) / 2
LCM(274,898) = 246052 / 2
LCM(274,898) = 123026
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FAQs on GCF of Fractions of 758/274, 2546/898
1. What is the HCF of 758,2546?
The HCF of 758,2546 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 758/274, 2546/898?
Answer: GCF of Numerators as per given numbers 758/274, 2546/898 is
GCF of Numerators i.e. for 758,2546 is 2
LCM of denominators i.e. for 274,898 is 123026.
Thus, GCF of Fractions is 2/123026.Finally, GCF of Fractions for 758/274, 2546/898 is 2/123026.