GCF of 5719/922, 1998/8450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5719/922, 1998/8450 i.e 1/3895450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5719/922, 1998/8450.
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 5719/922,1998/8450?
Given fractions are 5719/922,1998/8450
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 5719/922,1998/8450, numerators are 5719,1998
Denominators are 922,8450
The GCF of 5719,1998 is 1 .
LCM of 922,8450 is 3895450.
The greatest common factor of 5719/922,1998/8450 = [GCF of 5719,1998]/[LCM of 922,8450]= 1/3895450
Therefore, the GCF of 5719/922,1998/8450 is 1/3895450.
To find the highest common factor of 5719,1998, we have to find the factors of both numbers and list the highest common factor.
The factors of 5719 are 1, 7, 19, 43, 133, 301, 817, 5719
The factors of 1998 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998
The HCF of 5719,1998 is 1.
Lets's calculate GCF of 5719,1998
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5719,1998 By Matching Biggest Common Factor Method
Now, list down the factors of 5719
:1,7,19,43,133,301,817,5719
Now, list down the factors of 1998
:1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998
Greatest Common Factor
We found the factors 5719,1998 . The biggest common factor number is the GCF number.
So the greatest common factor 5719,1998 is 1.
Lets's calculate LCM of 922,8450
| 2 | 922, 8450 |
| 461, 4225 |
∴ So the LCM of the given numbers is 2 x 461 x 4225 = 3895450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3895450
Therefore, the GCF of Fractions 5719/922,1998/8450 is 1/3895450
Least Common Multiple of 922,8450 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 922,8450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,8450) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,8450) x common factors =2 x 1 = 2
LCM(922,8450) = ( 922 × 8450 ) / 2
LCM(922,8450) = 7790900 / 2
LCM(922,8450) = 3895450
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FAQs on GCF of Fractions of 5719/922, 1998/8450
1. What is the HCF of 5719,1998?
The HCF of 5719,1998 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 5719/922, 1998/8450?
Answer: GCF of Numerators as per given numbers 5719/922, 1998/8450 is
GCF of Numerators i.e. for 5719,1998 is 1
LCM of denominators i.e. for 922,8450 is 3895450.
Thus, GCF of Fractions is 1/3895450.Finally, GCF of Fractions for 5719/922, 1998/8450 is 1/3895450.