GCF of 5307/942, 7378/7663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5307/942, 7378/7663 i.e 1/7218546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5307/942, 7378/7663.
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 5307/942,7378/7663?
Given fractions are 5307/942,7378/7663
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 5307/942,7378/7663, numerators are 5307,7378
Denominators are 942,7663
The GCF of 5307,7378 is 1 .
LCM of 942,7663 is 7218546.
The greatest common factor of 5307/942,7378/7663 = [GCF of 5307,7378]/[LCM of 942,7663]= 1/7218546
Therefore, the GCF of 5307/942,7378/7663 is 1/7218546.
To find the highest common factor of 5307,7378, we have to find the factors of both numbers and list the highest common factor.
The factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307
The factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378
The HCF of 5307,7378 is 1.
Lets's calculate GCF of 5307,7378
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5307,7378 By Matching Biggest Common Factor Method
Now, list down the factors of 5307
:1,3,29,61,87,183,1769,5307
Now, list down the factors of 7378
:1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378
Greatest Common Factor
We found the factors 5307,7378 . The biggest common factor number is the GCF number.
So the greatest common factor 5307,7378 is 1.
Lets's calculate LCM of 942,7663
Given numbers has no common factors except 1. So, there LCM is their product i.e 7218546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7218546
Therefore, the GCF of Fractions 5307/942,7378/7663 is 1/7218546
Least Common Multiple of 942,7663 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 942,7663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,7663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(942,7663) x common factors =1 x 1 = 1
LCM(942,7663) = ( 942 × 7663 ) / 1
LCM(942,7663) = 7218546 / 1
LCM(942,7663) = 7218546
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5307/942, 7378/7663
1. What is the HCF of 5307,7378?
The HCF of 5307,7378 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 5307/942, 7378/7663?
Answer: GCF of Numerators as per given numbers 5307/942, 7378/7663 is
GCF of Numerators i.e. for 5307,7378 is 1
LCM of denominators i.e. for 942,7663 is 7218546.
Thus, GCF of Fractions is 1/7218546.Finally, GCF of Fractions for 5307/942, 7378/7663 is 1/7218546.