GCF of 4978/742, 3059/4942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4978/742, 3059/4942 i.e 19/261926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4978/742, 3059/4942.
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 4978/742,3059/4942?
Given fractions are 4978/742,3059/4942
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 4978/742,3059/4942, numerators are 4978,3059
Denominators are 742,4942
The GCF of 4978,3059 is 19 .
LCM of 742,4942 is 261926.
The greatest common factor of 4978/742,3059/4942 = [GCF of 4978,3059]/[LCM of 742,4942]= 19/261926
Therefore, the GCF of 4978/742,3059/4942 is 19/261926.
To find the highest common factor of 4978,3059, we have to find the factors of both numbers and list the highest common factor.
The factors of 4978 are 1, 2, 19, 38, 131, 262, 2489, 4978
The factors of 3059 are 1, 7, 19, 23, 133, 161, 437, 3059
The HCF of 4978,3059 is 19.
Lets's calculate GCF of 4978,3059
| 19 | 4978, 3059 |
| 262, 161 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 4978,3059 By Matching Biggest Common Factor Method
Now, list down the factors of 4978
:1,2,19,38,131,262,2489,4978
Now, list down the factors of 3059
:1,7,19,23,133,161,437,3059
Greatest Common Factor
We found the factors 4978,3059 . The biggest common factor number is the GCF number.
So the greatest common factor 4978,3059 is 19.
Lets's calculate LCM of 742,4942
| 2 | 742, 4942 |
| 7 | 371, 2471 |
| 53, 353 |
∴ So the LCM of the given numbers is 2 x 7 x 53 x 353 = 261926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/261926
Therefore, the GCF of Fractions 4978/742,3059/4942 is 19/261926
Least Common Multiple of 742,4942 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 742,4942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,4942) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(742,4942) x common factors =14 x 1 = 14
LCM(742,4942) = ( 742 × 4942 ) / 14
LCM(742,4942) = 3666964 / 14
LCM(742,4942) = 261926
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FAQs on GCF of Fractions of 4978/742, 3059/4942
1. What is the HCF of 4978,3059?
The HCF of 4978,3059 is 19
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 4978/742, 3059/4942?
Answer: GCF of Numerators as per given numbers 4978/742, 3059/4942 is
GCF of Numerators i.e. for 4978,3059 is 19
LCM of denominators i.e. for 742,4942 is 261926.
Thus, GCF of Fractions is 19/261926.Finally, GCF of Fractions for 4978/742, 3059/4942 is 19/261926.