GCF of 9954/678, 5659/8113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9954/678, 5659/8113 i.e 1/5500614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9954/678, 5659/8113.
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 9954/678,5659/8113?
Given fractions are 9954/678,5659/8113
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 9954/678,5659/8113, numerators are 9954,5659
Denominators are 678,8113
The GCF of 9954,5659 is 1 .
LCM of 678,8113 is 5500614.
The greatest common factor of 9954/678,5659/8113 = [GCF of 9954,5659]/[LCM of 678,8113]= 1/5500614
Therefore, the GCF of 9954/678,5659/8113 is 1/5500614.
To find the highest common factor of 9954,5659, we have to find the factors of both numbers and list the highest common factor.
The factors of 9954 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954
The factors of 5659 are 1, 5659
The HCF of 9954,5659 is 1.
Lets's calculate GCF of 9954,5659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9954,5659 By Matching Biggest Common Factor Method
Now, list down the factors of 9954
:1,2,3,6,7,9,14,18,21,42,63,79,126,158,237,474,553,711,1106,1422,1659,3318,4977,9954
Now, list down the factors of 5659
:1,5659
Greatest Common Factor
We found the factors 9954,5659 . The biggest common factor number is the GCF number.
So the greatest common factor 9954,5659 is 1.
Lets's calculate LCM of 678,8113
Given numbers has no common factors except 1. So, there LCM is their product i.e 5500614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5500614
Therefore, the GCF of Fractions 9954/678,5659/8113 is 1/5500614
Least Common Multiple of 678,8113 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 678,8113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,8113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(678,8113) x common factors =1 x 1 = 1
LCM(678,8113) = ( 678 × 8113 ) / 1
LCM(678,8113) = 5500614 / 1
LCM(678,8113) = 5500614
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FAQs on GCF of Fractions of 9954/678, 5659/8113
1. What is the HCF of 9954,5659?
The HCF of 9954,5659 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 9954/678, 5659/8113?
Answer: GCF of Numerators as per given numbers 9954/678, 5659/8113 is
GCF of Numerators i.e. for 9954,5659 is 1
LCM of denominators i.e. for 678,8113 is 5500614.
Thus, GCF of Fractions is 1/5500614.Finally, GCF of Fractions for 9954/678, 5659/8113 is 1/5500614.