GCF of 7178/732, 6281/317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7178/732, 6281/317 i.e 1/232044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7178/732, 6281/317.
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 7178/732,6281/317?
Given fractions are 7178/732,6281/317
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 7178/732,6281/317, numerators are 7178,6281
Denominators are 732,317
The GCF of 7178,6281 is 1 .
LCM of 732,317 is 232044.
The greatest common factor of 7178/732,6281/317 = [GCF of 7178,6281]/[LCM of 732,317]= 1/232044
Therefore, the GCF of 7178/732,6281/317 is 1/232044.
To find the highest common factor of 7178,6281, we have to find the factors of both numbers and list the highest common factor.
The factors of 7178 are 1, 2, 37, 74, 97, 194, 3589, 7178
The factors of 6281 are 1, 11, 571, 6281
The HCF of 7178,6281 is 1.
Lets's calculate GCF of 7178,6281
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7178,6281 By Matching Biggest Common Factor Method
Now, list down the factors of 7178
:1,2,37,74,97,194,3589,7178
Now, list down the factors of 6281
:1,11,571,6281
Greatest Common Factor
We found the factors 7178,6281 . The biggest common factor number is the GCF number.
So the greatest common factor 7178,6281 is 1.
Lets's calculate LCM of 732,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 232044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232044
Therefore, the GCF of Fractions 7178/732,6281/317 is 1/232044
Least Common Multiple of 732,317 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 732,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(732,317) x common factors =1 x 1 = 1
LCM(732,317) = ( 732 × 317 ) / 1
LCM(732,317) = 232044 / 1
LCM(732,317) = 232044
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FAQs on GCF of Fractions of 7178/732, 6281/317
1. What is the HCF of 7178,6281?
The HCF of 7178,6281 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 7178/732, 6281/317?
Answer: GCF of Numerators as per given numbers 7178/732, 6281/317 is
GCF of Numerators i.e. for 7178,6281 is 1
LCM of denominators i.e. for 732,317 is 232044.
Thus, GCF of Fractions is 1/232044.Finally, GCF of Fractions for 7178/732, 6281/317 is 1/232044.