GCF of 3620/394, 6702/503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3620/394, 6702/503 i.e 2/198182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3620/394, 6702/503.
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 3620/394,6702/503?
Given fractions are 3620/394,6702/503
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 3620/394,6702/503, numerators are 3620,6702
Denominators are 394,503
The GCF of 3620,6702 is 2 .
LCM of 394,503 is 198182.
The greatest common factor of 3620/394,6702/503 = [GCF of 3620,6702]/[LCM of 394,503]= 2/198182
Therefore, the GCF of 3620/394,6702/503 is 2/198182.
To find the highest common factor of 3620,6702, we have to find the factors of both numbers and list the highest common factor.
The factors of 3620 are 1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620
The factors of 6702 are 1, 2, 3, 6, 1117, 2234, 3351, 6702
The HCF of 3620,6702 is 2.
Lets's calculate GCF of 3620,6702
| 2 | 3620, 6702 |
| 1810, 3351 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3620,6702 By Matching Biggest Common Factor Method
Now, list down the factors of 3620
:1,2,4,5,10,20,181,362,724,905,1810,3620
Now, list down the factors of 6702
:1,2,3,6,1117,2234,3351,6702
Greatest Common Factor
We found the factors 3620,6702 . The biggest common factor number is the GCF number.
So the greatest common factor 3620,6702 is 2.
Lets's calculate LCM of 394,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 198182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/198182
Therefore, the GCF of Fractions 3620/394,6702/503 is 2/198182
Least Common Multiple of 394,503 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 394,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(394,503) x common factors =1 x 1 = 1
LCM(394,503) = ( 394 × 503 ) / 1
LCM(394,503) = 198182 / 1
LCM(394,503) = 198182
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FAQs on GCF of Fractions of 3620/394, 6702/503
1. What is the HCF of 3620,6702?
The HCF of 3620,6702 is 2
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 3620/394, 6702/503?
Answer: GCF of Numerators as per given numbers 3620/394, 6702/503 is
GCF of Numerators i.e. for 3620,6702 is 2
LCM of denominators i.e. for 394,503 is 198182.
Thus, GCF of Fractions is 2/198182.Finally, GCF of Fractions for 3620/394, 6702/503 is 2/198182.