Use our free GCF of Fractions Calculator tool to compute the GCF of 1701/228, 6370/995 i.e 7/226860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1701/228, 6370/995.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1701/228,6370/995
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 1701/228,6370/995, numerators are 1701,6370
Denominators are 228,995
The GCF of 1701,6370 is 7 .
LCM of 228,995 is 226860.
The greatest common factor of 1701/228,6370/995 = [GCF of 1701,6370]/[LCM of 228,995]= 7/226860
Therefore, the GCF of 1701/228,6370/995 is 7/226860.
To find the highest common factor of 1701,6370, we have to find the factors of both numbers and list the highest common factor.
The factors of 1701 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701
The factors of 6370 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370
The HCF of 1701,6370 is 7.
Lets's calculate GCF of 1701,6370
7 | 1701, 6370 |
243, 910 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 1701
:1,3,7,9,21,27,63,81,189,243,567,1701
Now, list down the factors of 6370
:1,2,5,7,10,13,14,26,35,49,65,70,91,98,130,182,245,455,490,637,910,1274,3185,6370
Greatest Common Factor
We found the factors 1701,6370 . The biggest common factor number is the GCF number.
So the greatest common factor 1701,6370 is 7.
Lets's calculate LCM of 228,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 226860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/226860
Therefore, the GCF of Fractions 1701/228,6370/995 is 7/226860
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 228,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,995) x common factors =1 x 1 = 1
LCM(228,995) = ( 228 × 995 ) / 1
LCM(228,995) = 226860 / 1
LCM(228,995) = 226860
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1701,6370?
The HCF of 1701,6370 is 7
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 1701/228, 6370/995?
Answer: GCF of Numerators as per given numbers 1701/228, 6370/995 is
GCF of Numerators i.e. for 1701,6370 is 7
LCM of denominators i.e. for 228,995 is 226860.
Thus, GCF of Fractions is 7/226860.Finally, GCF of Fractions for 1701/228, 6370/995 is 7/226860.