GCF of 5134/228, 3910/3529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5134/228, 3910/3529 i.e 34/804612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5134/228, 3910/3529.
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 5134/228,3910/3529?
Given fractions are 5134/228,3910/3529
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 5134/228,3910/3529, numerators are 5134,3910
Denominators are 228,3529
The GCF of 5134,3910 is 34 .
LCM of 228,3529 is 804612.
The greatest common factor of 5134/228,3910/3529 = [GCF of 5134,3910]/[LCM of 228,3529]= 34/804612
Therefore, the GCF of 5134/228,3910/3529 is 34/804612.
To find the highest common factor of 5134,3910, we have to find the factors of both numbers and list the highest common factor.
The factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134
The factors of 3910 are 1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910
The HCF of 5134,3910 is 34.
Lets's calculate GCF of 5134,3910
| 2 | 5134, 3910 |
| 17 | 2567, 1955 |
| 151, 115 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 5134,3910 By Matching Biggest Common Factor Method
Now, list down the factors of 5134
:1,2,17,34,151,302,2567,5134
Now, list down the factors of 3910
:1,2,5,10,17,23,34,46,85,115,170,230,391,782,1955,3910
Greatest Common Factor
We found the factors 5134,3910 . The biggest common factor number is the GCF number.
So the greatest common factor 5134,3910 is 34.
Lets's calculate LCM of 228,3529
Given numbers has no common factors except 1. So, there LCM is their product i.e 804612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/804612
Therefore, the GCF of Fractions 5134/228,3910/3529 is 34/804612
Least Common Multiple of 228,3529 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 228,3529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,3529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,3529) x common factors =1 x 1 = 1
LCM(228,3529) = ( 228 × 3529 ) / 1
LCM(228,3529) = 804612 / 1
LCM(228,3529) = 804612
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FAQs on GCF of Fractions of 5134/228, 3910/3529
1. What is the HCF of 5134,3910?
The HCF of 5134,3910 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 5134/228, 3910/3529?
Answer: GCF of Numerators as per given numbers 5134/228, 3910/3529 is
GCF of Numerators i.e. for 5134,3910 is 34
LCM of denominators i.e. for 228,3529 is 804612.
Thus, GCF of Fractions is 34/804612.Finally, GCF of Fractions for 5134/228, 3910/3529 is 34/804612.