GCF of 5563/994, 5992/3250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5563/994, 5992/3250 i.e 1/1615250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5563/994, 5992/3250.
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 5563/994,5992/3250?
Given fractions are 5563/994,5992/3250
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 5563/994,5992/3250, numerators are 5563,5992
Denominators are 994,3250
The GCF of 5563,5992 is 1 .
LCM of 994,3250 is 1615250.
The greatest common factor of 5563/994,5992/3250 = [GCF of 5563,5992]/[LCM of 994,3250]= 1/1615250
Therefore, the GCF of 5563/994,5992/3250 is 1/1615250.
To find the highest common factor of 5563,5992, we have to find the factors of both numbers and list the highest common factor.
The factors of 5563 are 1, 5563
The factors of 5992 are 1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992
The HCF of 5563,5992 is 1.
Lets's calculate GCF of 5563,5992
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5563,5992 By Matching Biggest Common Factor Method
Now, list down the factors of 5563
:1,5563
Now, list down the factors of 5992
:1,2,4,7,8,14,28,56,107,214,428,749,856,1498,2996,5992
Greatest Common Factor
We found the factors 5563,5992 . The biggest common factor number is the GCF number.
So the greatest common factor 5563,5992 is 1.
Lets's calculate LCM of 994,3250
| 2 | 994, 3250 |
| 497, 1625 |
∴ So the LCM of the given numbers is 2 x 497 x 1625 = 1615250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1615250
Therefore, the GCF of Fractions 5563/994,5992/3250 is 1/1615250
Least Common Multiple of 994,3250 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 994,3250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,3250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,3250) x common factors =2 x 1 = 2
LCM(994,3250) = ( 994 × 3250 ) / 2
LCM(994,3250) = 3230500 / 2
LCM(994,3250) = 1615250
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FAQs on GCF of Fractions of 5563/994, 5992/3250
1. What is the HCF of 5563,5992?
The HCF of 5563,5992 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 5563/994, 5992/3250?
Answer: GCF of Numerators as per given numbers 5563/994, 5992/3250 is
GCF of Numerators i.e. for 5563,5992 is 1
LCM of denominators i.e. for 994,3250 is 1615250.
Thus, GCF of Fractions is 1/1615250.Finally, GCF of Fractions for 5563/994, 5992/3250 is 1/1615250.