GCF of 5338/751, 2210/2977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5338/751, 2210/2977 i.e 34/2235727 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5338/751, 2210/2977.
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 5338/751,2210/2977?
Given fractions are 5338/751,2210/2977
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 5338/751,2210/2977, numerators are 5338,2210
Denominators are 751,2977
The GCF of 5338,2210 is 34 .
LCM of 751,2977 is 2235727.
The greatest common factor of 5338/751,2210/2977 = [GCF of 5338,2210]/[LCM of 751,2977]= 34/2235727
Therefore, the GCF of 5338/751,2210/2977 is 34/2235727.
To find the highest common factor of 5338,2210, we have to find the factors of both numbers and list the highest common factor.
The factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338
The factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210
The HCF of 5338,2210 is 34.
Lets's calculate GCF of 5338,2210
| 2 | 5338, 2210 |
| 17 | 2669, 1105 |
| 157, 65 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 5338,2210 By Matching Biggest Common Factor Method
Now, list down the factors of 5338
:1,2,17,34,157,314,2669,5338
Now, list down the factors of 2210
:1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210
Greatest Common Factor
We found the factors 5338,2210 . The biggest common factor number is the GCF number.
So the greatest common factor 5338,2210 is 34.
Lets's calculate LCM of 751,2977
Given numbers has no common factors except 1. So, there LCM is their product i.e 2235727
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/2235727
Therefore, the GCF of Fractions 5338/751,2210/2977 is 34/2235727
Least Common Multiple of 751,2977 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 751,2977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,2977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,2977) x common factors =1 x 1 = 1
LCM(751,2977) = ( 751 × 2977 ) / 1
LCM(751,2977) = 2235727 / 1
LCM(751,2977) = 2235727
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FAQs on GCF of Fractions of 5338/751, 2210/2977
1. What is the HCF of 5338,2210?
The HCF of 5338,2210 is 34
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 5338/751, 2210/2977?
Answer: GCF of Numerators as per given numbers 5338/751, 2210/2977 is
GCF of Numerators i.e. for 5338,2210 is 34
LCM of denominators i.e. for 751,2977 is 2235727.
Thus, GCF of Fractions is 34/2235727.Finally, GCF of Fractions for 5338/751, 2210/2977 is 34/2235727.