GCF of 5303/400, 8918/698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5303/400, 8918/698 i.e 1/139600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5303/400, 8918/698.
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 5303/400,8918/698?
Given fractions are 5303/400,8918/698
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 5303/400,8918/698, numerators are 5303,8918
Denominators are 400,698
The GCF of 5303,8918 is 1 .
LCM of 400,698 is 139600.
The greatest common factor of 5303/400,8918/698 = [GCF of 5303,8918]/[LCM of 400,698]= 1/139600
Therefore, the GCF of 5303/400,8918/698 is 1/139600.
To find the highest common factor of 5303,8918, we have to find the factors of both numbers and list the highest common factor.
The factors of 5303 are 1, 5303
The factors of 8918 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459, 8918
The HCF of 5303,8918 is 1.
Lets's calculate GCF of 5303,8918
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5303,8918 By Matching Biggest Common Factor Method
Now, list down the factors of 5303
:1,5303
Now, list down the factors of 8918
:1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918
Greatest Common Factor
We found the factors 5303,8918 . The biggest common factor number is the GCF number.
So the greatest common factor 5303,8918 is 1.
Lets's calculate LCM of 400,698
| 2 | 400, 698 |
| 200, 349 |
∴ So the LCM of the given numbers is 2 x 200 x 349 = 139600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139600
Therefore, the GCF of Fractions 5303/400,8918/698 is 1/139600
Least Common Multiple of 400,698 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 400,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(400,698) x common factors =2 x 1 = 2
LCM(400,698) = ( 400 × 698 ) / 2
LCM(400,698) = 279200 / 2
LCM(400,698) = 139600
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FAQs on GCF of Fractions of 5303/400, 8918/698
1. What is the HCF of 5303,8918?
The HCF of 5303,8918 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 5303/400, 8918/698?
Answer: GCF of Numerators as per given numbers 5303/400, 8918/698 is
GCF of Numerators i.e. for 5303,8918 is 1
LCM of denominators i.e. for 400,698 is 139600.
Thus, GCF of Fractions is 1/139600.Finally, GCF of Fractions for 5303/400, 8918/698 is 1/139600.