GCF of 6104/525, 1226/1855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6104/525, 1226/1855 i.e 2/27825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6104/525, 1226/1855.
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 6104/525,1226/1855?
Given fractions are 6104/525,1226/1855
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 6104/525,1226/1855, numerators are 6104,1226
Denominators are 525,1855
The GCF of 6104,1226 is 2 .
LCM of 525,1855 is 27825.
The greatest common factor of 6104/525,1226/1855 = [GCF of 6104,1226]/[LCM of 525,1855]= 2/27825
Therefore, the GCF of 6104/525,1226/1855 is 2/27825.
To find the highest common factor of 6104,1226, we have to find the factors of both numbers and list the highest common factor.
The factors of 6104 are 1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104
The factors of 1226 are 1, 2, 613, 1226
The HCF of 6104,1226 is 2.
Lets's calculate GCF of 6104,1226
| 2 | 6104, 1226 |
| 3052, 613 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6104,1226 By Matching Biggest Common Factor Method
Now, list down the factors of 6104
:1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104
Now, list down the factors of 1226
:1,2,613,1226
Greatest Common Factor
We found the factors 6104,1226 . The biggest common factor number is the GCF number.
So the greatest common factor 6104,1226 is 2.
Lets's calculate LCM of 525,1855
| 5 | 525, 1855 |
| 7 | 105, 371 |
| 15, 53 |
∴ So the LCM of the given numbers is 5 x 7 x 15 x 53 = 27825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27825
Therefore, the GCF of Fractions 6104/525,1226/1855 is 2/27825
Least Common Multiple of 525,1855 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 525,1855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,1855) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(525,1855) x common factors =35 x 1 = 35
LCM(525,1855) = ( 525 × 1855 ) / 35
LCM(525,1855) = 973875 / 35
LCM(525,1855) = 27825
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FAQs on GCF of Fractions of 6104/525, 1226/1855
1. What is the HCF of 6104,1226?
The HCF of 6104,1226 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 6104/525, 1226/1855?
Answer: GCF of Numerators as per given numbers 6104/525, 1226/1855 is
GCF of Numerators i.e. for 6104,1226 is 2
LCM of denominators i.e. for 525,1855 is 27825.
Thus, GCF of Fractions is 2/27825.Finally, GCF of Fractions for 6104/525, 1226/1855 is 2/27825.