GCF of 548/628, 494/732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 548/628, 494/732 i.e 2/114924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/628, 494/732.
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 548/628,494/732?
Given fractions are 548/628,494/732
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 548/628,494/732, numerators are 548,494
Denominators are 628,732
The GCF of 548,494 is 2 .
LCM of 628,732 is 114924.
The greatest common factor of 548/628,494/732 = [GCF of 548,494]/[LCM of 628,732]= 2/114924
Therefore, the GCF of 548/628,494/732 is 2/114924.
To find the highest common factor of 548,494, we have to find the factors of both numbers and list the highest common factor.
The factors of 548 are 1, 2, 4, 137, 274, 548
The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494
The HCF of 548,494 is 2.
Lets's calculate GCF of 548,494
| 2 | 548, 494 |
| 274, 247 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 548,494 By Matching Biggest Common Factor Method
Now, list down the factors of 548
:1,2,4,137,274,548
Now, list down the factors of 494
:1,2,13,19,26,38,247,494
Greatest Common Factor
We found the factors 548,494 . The biggest common factor number is the GCF number.
So the greatest common factor 548,494 is 2.
Lets's calculate LCM of 628,732
| 2 | 628, 732 |
| 2 | 314, 366 |
| 157, 183 |
∴ So the LCM of the given numbers is 2 x 2 x 157 x 183 = 114924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114924
Therefore, the GCF of Fractions 548/628,494/732 is 2/114924
Least Common Multiple of 628,732 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 628,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,732) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(628,732) x common factors =4 x 1 = 4
LCM(628,732) = ( 628 × 732 ) / 4
LCM(628,732) = 459696 / 4
LCM(628,732) = 114924
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FAQs on GCF of Fractions of 548/628, 494/732
1. What is the HCF of 548,494?
The HCF of 548,494 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 548/628, 494/732?
Answer: GCF of Numerators as per given numbers 548/628, 494/732 is
GCF of Numerators i.e. for 548,494 is 2
LCM of denominators i.e. for 628,732 is 114924.
Thus, GCF of Fractions is 2/114924.Finally, GCF of Fractions for 548/628, 494/732 is 2/114924.