GCF of 542/553, 4754/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 542/553, 4754/740 i.e 2/409220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 542/553, 4754/740.
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 542/553,4754/740?
Given fractions are 542/553,4754/740
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 542/553,4754/740, numerators are 542,4754
Denominators are 553,740
The GCF of 542,4754 is 2 .
LCM of 553,740 is 409220.
The greatest common factor of 542/553,4754/740 = [GCF of 542,4754]/[LCM of 553,740]= 2/409220
Therefore, the GCF of 542/553,4754/740 is 2/409220.
To find the highest common factor of 542,4754, we have to find the factors of both numbers and list the highest common factor.
The factors of 542 are 1, 2, 271, 542
The factors of 4754 are 1, 2, 2377, 4754
The HCF of 542,4754 is 2.
Lets's calculate GCF of 542,4754
| 2 | 542, 4754 |
| 271, 2377 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 542,4754 By Matching Biggest Common Factor Method
Now, list down the factors of 542
:1,2,271,542
Now, list down the factors of 4754
:1,2,2377,4754
Greatest Common Factor
We found the factors 542,4754 . The biggest common factor number is the GCF number.
So the greatest common factor 542,4754 is 2.
Lets's calculate LCM of 553,740
Given numbers has no common factors except 1. So, there LCM is their product i.e 409220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/409220
Therefore, the GCF of Fractions 542/553,4754/740 is 2/409220
Least Common Multiple of 553,740 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 553,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,740) x common factors =1 x 1 = 1
LCM(553,740) = ( 553 × 740 ) / 1
LCM(553,740) = 409220 / 1
LCM(553,740) = 409220
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FAQs on GCF of Fractions of 542/553, 4754/740
1. What is the HCF of 542,4754?
The HCF of 542,4754 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 542/553, 4754/740?
Answer: GCF of Numerators as per given numbers 542/553, 4754/740 is
GCF of Numerators i.e. for 542,4754 is 2
LCM of denominators i.e. for 553,740 is 409220.
Thus, GCF of Fractions is 2/409220.Finally, GCF of Fractions for 542/553, 4754/740 is 2/409220.