GCF of 5008/923, 6889/7198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5008/923, 6889/7198 i.e 1/6643754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5008/923, 6889/7198.
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 5008/923,6889/7198?
Given fractions are 5008/923,6889/7198
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 5008/923,6889/7198, numerators are 5008,6889
Denominators are 923,7198
The GCF of 5008,6889 is 1 .
LCM of 923,7198 is 6643754.
The greatest common factor of 5008/923,6889/7198 = [GCF of 5008,6889]/[LCM of 923,7198]= 1/6643754
Therefore, the GCF of 5008/923,6889/7198 is 1/6643754.
To find the highest common factor of 5008,6889, we have to find the factors of both numbers and list the highest common factor.
The factors of 5008 are 1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008
The factors of 6889 are 1, 83, 6889
The HCF of 5008,6889 is 1.
Lets's calculate GCF of 5008,6889
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5008,6889 By Matching Biggest Common Factor Method
Now, list down the factors of 5008
:1,2,4,8,16,313,626,1252,2504,5008
Now, list down the factors of 6889
:1,83,6889
Greatest Common Factor
We found the factors 5008,6889 . The biggest common factor number is the GCF number.
So the greatest common factor 5008,6889 is 1.
Lets's calculate LCM of 923,7198
Given numbers has no common factors except 1. So, there LCM is their product i.e 6643754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6643754
Therefore, the GCF of Fractions 5008/923,6889/7198 is 1/6643754
Least Common Multiple of 923,7198 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 923,7198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,7198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,7198) x common factors =1 x 1 = 1
LCM(923,7198) = ( 923 × 7198 ) / 1
LCM(923,7198) = 6643754 / 1
LCM(923,7198) = 6643754
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FAQs on GCF of Fractions of 5008/923, 6889/7198
1. What is the HCF of 5008,6889?
The HCF of 5008,6889 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 5008/923, 6889/7198?
Answer: GCF of Numerators as per given numbers 5008/923, 6889/7198 is
GCF of Numerators i.e. for 5008,6889 is 1
LCM of denominators i.e. for 923,7198 is 6643754.
Thus, GCF of Fractions is 1/6643754.Finally, GCF of Fractions for 5008/923, 6889/7198 is 1/6643754.