GCF of 4994/194, 1573/2759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4994/194, 1573/2759 i.e 11/535246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4994/194, 1573/2759.
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 4994/194,1573/2759?
Given fractions are 4994/194,1573/2759
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 4994/194,1573/2759, numerators are 4994,1573
Denominators are 194,2759
The GCF of 4994,1573 is 11 .
LCM of 194,2759 is 535246.
The greatest common factor of 4994/194,1573/2759 = [GCF of 4994,1573]/[LCM of 194,2759]= 11/535246
Therefore, the GCF of 4994/194,1573/2759 is 11/535246.
To find the highest common factor of 4994,1573, we have to find the factors of both numbers and list the highest common factor.
The factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994
The factors of 1573 are 1, 11, 13, 121, 143, 1573
The HCF of 4994,1573 is 11.
Lets's calculate GCF of 4994,1573
| 11 | 4994, 1573 |
| 454, 143 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4994,1573 By Matching Biggest Common Factor Method
Now, list down the factors of 4994
:1,2,11,22,227,454,2497,4994
Now, list down the factors of 1573
:1,11,13,121,143,1573
Greatest Common Factor
We found the factors 4994,1573 . The biggest common factor number is the GCF number.
So the greatest common factor 4994,1573 is 11.
Lets's calculate LCM of 194,2759
Given numbers has no common factors except 1. So, there LCM is their product i.e 535246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/535246
Therefore, the GCF of Fractions 4994/194,1573/2759 is 11/535246
Least Common Multiple of 194,2759 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 194,2759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,2759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(194,2759) x common factors =1 x 1 = 1
LCM(194,2759) = ( 194 × 2759 ) / 1
LCM(194,2759) = 535246 / 1
LCM(194,2759) = 535246
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FAQs on GCF of Fractions of 4994/194, 1573/2759
1. What is the HCF of 4994,1573?
The HCF of 4994,1573 is 11
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 4994/194, 1573/2759?
Answer: GCF of Numerators as per given numbers 4994/194, 1573/2759 is
GCF of Numerators i.e. for 4994,1573 is 11
LCM of denominators i.e. for 194,2759 is 535246.
Thus, GCF of Fractions is 11/535246.Finally, GCF of Fractions for 4994/194, 1573/2759 is 11/535246.