GCF of 1683/719, 7208/1935
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1683/719, 7208/1935 i.e 17/1391265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1683/719, 7208/1935.
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 1683/719,7208/1935?
Given fractions are 1683/719,7208/1935
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 1683/719,7208/1935, numerators are 1683,7208
Denominators are 719,1935
The GCF of 1683,7208 is 17 .
LCM of 719,1935 is 1391265.
The greatest common factor of 1683/719,7208/1935 = [GCF of 1683,7208]/[LCM of 719,1935]= 17/1391265
Therefore, the GCF of 1683/719,7208/1935 is 17/1391265.
To find the highest common factor of 1683,7208, we have to find the factors of both numbers and list the highest common factor.
The factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683
The factors of 7208 are 1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208
The HCF of 1683,7208 is 17.
Lets's calculate GCF of 1683,7208
| 17 | 1683, 7208 |
| 99, 424 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 1683,7208 By Matching Biggest Common Factor Method
Now, list down the factors of 1683
:1,3,9,11,17,33,51,99,153,187,561,1683
Now, list down the factors of 7208
:1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208
Greatest Common Factor
We found the factors 1683,7208 . The biggest common factor number is the GCF number.
So the greatest common factor 1683,7208 is 17.
Lets's calculate LCM of 719,1935
Given numbers has no common factors except 1. So, there LCM is their product i.e 1391265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1391265
Therefore, the GCF of Fractions 1683/719,7208/1935 is 17/1391265
Least Common Multiple of 719,1935 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 719,1935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,1935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,1935) x common factors =1 x 1 = 1
LCM(719,1935) = ( 719 × 1935 ) / 1
LCM(719,1935) = 1391265 / 1
LCM(719,1935) = 1391265
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1683/719, 7208/1935
1. What is the HCF of 1683,7208?
The HCF of 1683,7208 is 17
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 1683/719, 7208/1935?
Answer: GCF of Numerators as per given numbers 1683/719, 7208/1935 is
GCF of Numerators i.e. for 1683,7208 is 17
LCM of denominators i.e. for 719,1935 is 1391265.
Thus, GCF of Fractions is 17/1391265.Finally, GCF of Fractions for 1683/719, 7208/1935 is 17/1391265.