GCF of 6231/383, 6974/195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6231/383, 6974/195 i.e 1/74685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6231/383, 6974/195.
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 6231/383,6974/195?
Given fractions are 6231/383,6974/195
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 6231/383,6974/195, numerators are 6231,6974
Denominators are 383,195
The GCF of 6231,6974 is 1 .
LCM of 383,195 is 74685.
The greatest common factor of 6231/383,6974/195 = [GCF of 6231,6974]/[LCM of 383,195]= 1/74685
Therefore, the GCF of 6231/383,6974/195 is 1/74685.
To find the highest common factor of 6231,6974, we have to find the factors of both numbers and list the highest common factor.
The factors of 6231 are 1, 3, 31, 67, 93, 201, 2077, 6231
The factors of 6974 are 1, 2, 11, 22, 317, 634, 3487, 6974
The HCF of 6231,6974 is 1.
Lets's calculate GCF of 6231,6974
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6231,6974 By Matching Biggest Common Factor Method
Now, list down the factors of 6231
:1,3,31,67,93,201,2077,6231
Now, list down the factors of 6974
:1,2,11,22,317,634,3487,6974
Greatest Common Factor
We found the factors 6231,6974 . The biggest common factor number is the GCF number.
So the greatest common factor 6231,6974 is 1.
Lets's calculate LCM of 383,195
Given numbers has no common factors except 1. So, there LCM is their product i.e 74685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74685
Therefore, the GCF of Fractions 6231/383,6974/195 is 1/74685
Least Common Multiple of 383,195 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 383,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,195) x common factors =1 x 1 = 1
LCM(383,195) = ( 383 × 195 ) / 1
LCM(383,195) = 74685 / 1
LCM(383,195) = 74685
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FAQs on GCF of Fractions of 6231/383, 6974/195
1. What is the HCF of 6231,6974?
The HCF of 6231,6974 is 1
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 6231/383, 6974/195?
Answer: GCF of Numerators as per given numbers 6231/383, 6974/195 is
GCF of Numerators i.e. for 6231,6974 is 1
LCM of denominators i.e. for 383,195 is 74685.
Thus, GCF of Fractions is 1/74685.Finally, GCF of Fractions for 6231/383, 6974/195 is 1/74685.