GCF of 551/493, 1305/4208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 551/493, 1305/4208 i.e 29/2074544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 551/493, 1305/4208.
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 551/493,1305/4208?
Given fractions are 551/493,1305/4208
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 551/493,1305/4208, numerators are 551,1305
Denominators are 493,4208
The GCF of 551,1305 is 29 .
LCM of 493,4208 is 2074544.
The greatest common factor of 551/493,1305/4208 = [GCF of 551,1305]/[LCM of 493,4208]= 29/2074544
Therefore, the GCF of 551/493,1305/4208 is 29/2074544.
To find the highest common factor of 551,1305, we have to find the factors of both numbers and list the highest common factor.
The factors of 551 are 1, 19, 29, 551
The factors of 1305 are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305
The HCF of 551,1305 is 29.
Lets's calculate GCF of 551,1305
| 29 | 551, 1305 |
| 19, 45 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 551,1305 By Matching Biggest Common Factor Method
Now, list down the factors of 551
:1,19,29,551
Now, list down the factors of 1305
:1,3,5,9,15,29,45,87,145,261,435,1305
Greatest Common Factor
We found the factors 551,1305 . The biggest common factor number is the GCF number.
So the greatest common factor 551,1305 is 29.
Lets's calculate LCM of 493,4208
Given numbers has no common factors except 1. So, there LCM is their product i.e 2074544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/2074544
Therefore, the GCF of Fractions 551/493,1305/4208 is 29/2074544
Least Common Multiple of 493,4208 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 493,4208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,4208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,4208) x common factors =1 x 1 = 1
LCM(493,4208) = ( 493 × 4208 ) / 1
LCM(493,4208) = 2074544 / 1
LCM(493,4208) = 2074544
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FAQs on GCF of Fractions of 551/493, 1305/4208
1. What is the HCF of 551,1305?
The HCF of 551,1305 is 29
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 551/493, 1305/4208?
Answer: GCF of Numerators as per given numbers 551/493, 1305/4208 is
GCF of Numerators i.e. for 551,1305 is 29
LCM of denominators i.e. for 493,4208 is 2074544.
Thus, GCF of Fractions is 29/2074544.Finally, GCF of Fractions for 551/493, 1305/4208 is 29/2074544.