GCF of 4942/557, 1260/4485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4942/557, 1260/4485 i.e 14/2498145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4942/557, 1260/4485.
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 4942/557,1260/4485?
Given fractions are 4942/557,1260/4485
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 4942/557,1260/4485, numerators are 4942,1260
Denominators are 557,4485
The GCF of 4942,1260 is 14 .
LCM of 557,4485 is 2498145.
The greatest common factor of 4942/557,1260/4485 = [GCF of 4942,1260]/[LCM of 557,4485]= 14/2498145
Therefore, the GCF of 4942/557,1260/4485 is 14/2498145.
To find the highest common factor of 4942,1260, we have to find the factors of both numbers and list the highest common factor.
The factors of 4942 are 1, 2, 7, 14, 353, 706, 2471, 4942
The factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260
The HCF of 4942,1260 is 14.
Lets's calculate GCF of 4942,1260
| 2 | 4942, 1260 |
| 7 | 2471, 630 |
| 353, 90 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4942,1260 By Matching Biggest Common Factor Method
Now, list down the factors of 4942
:1,2,7,14,353,706,2471,4942
Now, list down the factors of 1260
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260
Greatest Common Factor
We found the factors 4942,1260 . The biggest common factor number is the GCF number.
So the greatest common factor 4942,1260 is 14.
Lets's calculate LCM of 557,4485
Given numbers has no common factors except 1. So, there LCM is their product i.e 2498145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2498145
Therefore, the GCF of Fractions 4942/557,1260/4485 is 14/2498145
Least Common Multiple of 557,4485 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 557,4485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,4485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,4485) x common factors =1 x 1 = 1
LCM(557,4485) = ( 557 × 4485 ) / 1
LCM(557,4485) = 2498145 / 1
LCM(557,4485) = 2498145
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FAQs on GCF of Fractions of 4942/557, 1260/4485
1. What is the HCF of 4942,1260?
The HCF of 4942,1260 is 14
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 4942/557, 1260/4485?
Answer: GCF of Numerators as per given numbers 4942/557, 1260/4485 is
GCF of Numerators i.e. for 4942,1260 is 14
LCM of denominators i.e. for 557,4485 is 2498145.
Thus, GCF of Fractions is 14/2498145.Finally, GCF of Fractions for 4942/557, 1260/4485 is 14/2498145.