GCF of 7277/552, 3810/2349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7277/552, 3810/2349 i.e 1/432216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7277/552, 3810/2349.
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 7277/552,3810/2349?
Given fractions are 7277/552,3810/2349
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 7277/552,3810/2349, numerators are 7277,3810
Denominators are 552,2349
The GCF of 7277,3810 is 1 .
LCM of 552,2349 is 432216.
The greatest common factor of 7277/552,3810/2349 = [GCF of 7277,3810]/[LCM of 552,2349]= 1/432216
Therefore, the GCF of 7277/552,3810/2349 is 1/432216.
To find the highest common factor of 7277,3810, we have to find the factors of both numbers and list the highest common factor.
The factors of 7277 are 1, 19, 383, 7277
The factors of 3810 are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810
The HCF of 7277,3810 is 1.
Lets's calculate GCF of 7277,3810
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7277,3810 By Matching Biggest Common Factor Method
Now, list down the factors of 7277
:1,19,383,7277
Now, list down the factors of 3810
:1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810
Greatest Common Factor
We found the factors 7277,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 7277,3810 is 1.
Lets's calculate LCM of 552,2349
| 3 | 552, 2349 |
| 184, 783 |
∴ So the LCM of the given numbers is 3 x 184 x 783 = 432216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432216
Therefore, the GCF of Fractions 7277/552,3810/2349 is 1/432216
Least Common Multiple of 552,2349 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 552,2349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,2349) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(552,2349) x common factors =3 x 1 = 3
LCM(552,2349) = ( 552 × 2349 ) / 3
LCM(552,2349) = 1296648 / 3
LCM(552,2349) = 432216
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FAQs on GCF of Fractions of 7277/552, 3810/2349
1. What is the HCF of 7277,3810?
The HCF of 7277,3810 is 1
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 7277/552, 3810/2349?
Answer: GCF of Numerators as per given numbers 7277/552, 3810/2349 is
GCF of Numerators i.e. for 7277,3810 is 1
LCM of denominators i.e. for 552,2349 is 432216.
Thus, GCF of Fractions is 1/432216.Finally, GCF of Fractions for 7277/552, 3810/2349 is 1/432216.