GCF of 3245/507, 7316/2533
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3245/507, 7316/2533 i.e 59/1284231 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3245/507, 7316/2533.
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 3245/507,7316/2533?
Given fractions are 3245/507,7316/2533
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 3245/507,7316/2533, numerators are 3245,7316
Denominators are 507,2533
The GCF of 3245,7316 is 59 .
LCM of 507,2533 is 1284231.
The greatest common factor of 3245/507,7316/2533 = [GCF of 3245,7316]/[LCM of 507,2533]= 59/1284231
Therefore, the GCF of 3245/507,7316/2533 is 59/1284231.
To find the highest common factor of 3245,7316, we have to find the factors of both numbers and list the highest common factor.
The factors of 3245 are 1, 5, 11, 55, 59, 295, 649, 3245
The factors of 7316 are 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316
The HCF of 3245,7316 is 59.
Lets's calculate GCF of 3245,7316
| 59 | 3245, 7316 |
| 55, 124 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 3245,7316 By Matching Biggest Common Factor Method
Now, list down the factors of 3245
:1,5,11,55,59,295,649,3245
Now, list down the factors of 7316
:1,2,4,31,59,62,118,124,236,1829,3658,7316
Greatest Common Factor
We found the factors 3245,7316 . The biggest common factor number is the GCF number.
So the greatest common factor 3245,7316 is 59.
Lets's calculate LCM of 507,2533
Given numbers has no common factors except 1. So, there LCM is their product i.e 1284231
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/1284231
Therefore, the GCF of Fractions 3245/507,7316/2533 is 59/1284231
Least Common Multiple of 507,2533 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 507,2533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,2533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,2533) x common factors =1 x 1 = 1
LCM(507,2533) = ( 507 × 2533 ) / 1
LCM(507,2533) = 1284231 / 1
LCM(507,2533) = 1284231
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FAQs on GCF of Fractions of 3245/507, 7316/2533
1. What is the HCF of 3245,7316?
The HCF of 3245,7316 is 59
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 3245/507, 7316/2533?
Answer: GCF of Numerators as per given numbers 3245/507, 7316/2533 is
GCF of Numerators i.e. for 3245,7316 is 59
LCM of denominators i.e. for 507,2533 is 1284231.
Thus, GCF of Fractions is 59/1284231.Finally, GCF of Fractions for 3245/507, 7316/2533 is 59/1284231.