GCF of 7277/339, 7506/2862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7277/339, 7506/2862 i.e 1/323406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7277/339, 7506/2862.
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 7277/339,7506/2862?
Given fractions are 7277/339,7506/2862
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 7277/339,7506/2862, numerators are 7277,7506
Denominators are 339,2862
The GCF of 7277,7506 is 1 .
LCM of 339,2862 is 323406.
The greatest common factor of 7277/339,7506/2862 = [GCF of 7277,7506]/[LCM of 339,2862]= 1/323406
Therefore, the GCF of 7277/339,7506/2862 is 1/323406.
To find the highest common factor of 7277,7506, 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 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506
The HCF of 7277,7506 is 1.
Lets's calculate GCF of 7277,7506
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7277,7506 By Matching Biggest Common Factor Method
Now, list down the factors of 7277
:1,19,383,7277
Now, list down the factors of 7506
:1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506
Greatest Common Factor
We found the factors 7277,7506 . The biggest common factor number is the GCF number.
So the greatest common factor 7277,7506 is 1.
Lets's calculate LCM of 339,2862
| 3 | 339, 2862 |
| 113, 954 |
∴ So the LCM of the given numbers is 3 x 113 x 954 = 323406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323406
Therefore, the GCF of Fractions 7277/339,7506/2862 is 1/323406
Least Common Multiple of 339,2862 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 339,2862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,2862) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(339,2862) x common factors =3 x 1 = 3
LCM(339,2862) = ( 339 × 2862 ) / 3
LCM(339,2862) = 970218 / 3
LCM(339,2862) = 323406
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FAQs on GCF of Fractions of 7277/339, 7506/2862
1. What is the HCF of 7277,7506?
The HCF of 7277,7506 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 7277/339, 7506/2862?
Answer: GCF of Numerators as per given numbers 7277/339, 7506/2862 is
GCF of Numerators i.e. for 7277,7506 is 1
LCM of denominators i.e. for 339,2862 is 323406.
Thus, GCF of Fractions is 1/323406.Finally, GCF of Fractions for 7277/339, 7506/2862 is 1/323406.