GCF of 4990/736, 1938/9554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4990/736, 1938/9554 i.e 2/3515872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4990/736, 1938/9554.
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 4990/736,1938/9554?
Given fractions are 4990/736,1938/9554
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 4990/736,1938/9554, numerators are 4990,1938
Denominators are 736,9554
The GCF of 4990,1938 is 2 .
LCM of 736,9554 is 3515872.
The greatest common factor of 4990/736,1938/9554 = [GCF of 4990,1938]/[LCM of 736,9554]= 2/3515872
Therefore, the GCF of 4990/736,1938/9554 is 2/3515872.
To find the highest common factor of 4990,1938, we have to find the factors of both numbers and list the highest common factor.
The factors of 4990 are 1, 2, 5, 10, 499, 998, 2495, 4990
The factors of 1938 are 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938
The HCF of 4990,1938 is 2.
Lets's calculate GCF of 4990,1938
| 2 | 4990, 1938 |
| 2495, 969 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4990,1938 By Matching Biggest Common Factor Method
Now, list down the factors of 4990
:1,2,5,10,499,998,2495,4990
Now, list down the factors of 1938
:1,2,3,6,17,19,34,38,51,57,102,114,323,646,969,1938
Greatest Common Factor
We found the factors 4990,1938 . The biggest common factor number is the GCF number.
So the greatest common factor 4990,1938 is 2.
Lets's calculate LCM of 736,9554
| 2 | 736, 9554 |
| 368, 4777 |
∴ So the LCM of the given numbers is 2 x 368 x 4777 = 3515872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3515872
Therefore, the GCF of Fractions 4990/736,1938/9554 is 2/3515872
Least Common Multiple of 736,9554 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 736,9554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,9554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(736,9554) x common factors =2 x 1 = 2
LCM(736,9554) = ( 736 × 9554 ) / 2
LCM(736,9554) = 7031744 / 2
LCM(736,9554) = 3515872
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FAQs on GCF of Fractions of 4990/736, 1938/9554
1. What is the HCF of 4990,1938?
The HCF of 4990,1938 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 4990/736, 1938/9554?
Answer: GCF of Numerators as per given numbers 4990/736, 1938/9554 is
GCF of Numerators i.e. for 4990,1938 is 2
LCM of denominators i.e. for 736,9554 is 3515872.
Thus, GCF of Fractions is 2/3515872.Finally, GCF of Fractions for 4990/736, 1938/9554 is 2/3515872.