GCF of 702/595, 8203/607
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 702/595, 8203/607 i.e 13/361165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 702/595, 8203/607.
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 702/595,8203/607?
Given fractions are 702/595,8203/607
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 702/595,8203/607, numerators are 702,8203
Denominators are 595,607
The GCF of 702,8203 is 13 .
LCM of 595,607 is 361165.
The greatest common factor of 702/595,8203/607 = [GCF of 702,8203]/[LCM of 595,607]= 13/361165
Therefore, the GCF of 702/595,8203/607 is 13/361165.
To find the highest common factor of 702,8203, we have to find the factors of both numbers and list the highest common factor.
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The factors of 8203 are 1, 13, 631, 8203
The HCF of 702,8203 is 13.
Lets's calculate GCF of 702,8203
| 13 | 702, 8203 |
| 54, 631 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 702,8203 By Matching Biggest Common Factor Method
Now, list down the factors of 702
:1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Now, list down the factors of 8203
:1,13,631,8203
Greatest Common Factor
We found the factors 702,8203 . The biggest common factor number is the GCF number.
So the greatest common factor 702,8203 is 13.
Lets's calculate LCM of 595,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 361165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/361165
Therefore, the GCF of Fractions 702/595,8203/607 is 13/361165
Least Common Multiple of 595,607 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 595,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,607) x common factors =1 x 1 = 1
LCM(595,607) = ( 595 × 607 ) / 1
LCM(595,607) = 361165 / 1
LCM(595,607) = 361165
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 702/595, 8203/607
1. What is the HCF of 702,8203?
The HCF of 702,8203 is 13
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 702/595, 8203/607?
Answer: GCF of Numerators as per given numbers 702/595, 8203/607 is
GCF of Numerators i.e. for 702,8203 is 13
LCM of denominators i.e. for 595,607 is 361165.
Thus, GCF of Fractions is 13/361165.Finally, GCF of Fractions for 702/595, 8203/607 is 13/361165.