GCF of 2515/651, 7274/7047
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2515/651, 7274/7047 i.e 1/1529199 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2515/651, 7274/7047.
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 2515/651,7274/7047?
Given fractions are 2515/651,7274/7047
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 2515/651,7274/7047, numerators are 2515,7274
Denominators are 651,7047
The GCF of 2515,7274 is 1 .
LCM of 651,7047 is 1529199.
The greatest common factor of 2515/651,7274/7047 = [GCF of 2515,7274]/[LCM of 651,7047]= 1/1529199
Therefore, the GCF of 2515/651,7274/7047 is 1/1529199.
To find the highest common factor of 2515,7274, we have to find the factors of both numbers and list the highest common factor.
The factors of 2515 are 1, 5, 503, 2515
The factors of 7274 are 1, 2, 3637, 7274
The HCF of 2515,7274 is 1.
Lets's calculate GCF of 2515,7274
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2515,7274 By Matching Biggest Common Factor Method
Now, list down the factors of 2515
:1,5,503,2515
Now, list down the factors of 7274
:1,2,3637,7274
Greatest Common Factor
We found the factors 2515,7274 . The biggest common factor number is the GCF number.
So the greatest common factor 2515,7274 is 1.
Lets's calculate LCM of 651,7047
| 3 | 651, 7047 |
| 217, 2349 |
∴ So the LCM of the given numbers is 3 x 217 x 2349 = 1529199
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1529199
Therefore, the GCF of Fractions 2515/651,7274/7047 is 1/1529199
Least Common Multiple of 651,7047 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 651,7047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,7047) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,7047) x common factors =3 x 1 = 3
LCM(651,7047) = ( 651 × 7047 ) / 3
LCM(651,7047) = 4587597 / 3
LCM(651,7047) = 1529199
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FAQs on GCF of Fractions of 2515/651, 7274/7047
1. What is the HCF of 2515,7274?
The HCF of 2515,7274 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 2515/651, 7274/7047?
Answer: GCF of Numerators as per given numbers 2515/651, 7274/7047 is
GCF of Numerators i.e. for 2515,7274 is 1
LCM of denominators i.e. for 651,7047 is 1529199.
Thus, GCF of Fractions is 1/1529199.Finally, GCF of Fractions for 2515/651, 7274/7047 is 1/1529199.