GCF of 5581/992, 1970/2302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5581/992, 1970/2302 i.e 1/1141792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5581/992, 1970/2302.
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 5581/992,1970/2302?
Given fractions are 5581/992,1970/2302
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 5581/992,1970/2302, numerators are 5581,1970
Denominators are 992,2302
The GCF of 5581,1970 is 1 .
LCM of 992,2302 is 1141792.
The greatest common factor of 5581/992,1970/2302 = [GCF of 5581,1970]/[LCM of 992,2302]= 1/1141792
Therefore, the GCF of 5581/992,1970/2302 is 1/1141792.
To find the highest common factor of 5581,1970, we have to find the factors of both numbers and list the highest common factor.
The factors of 5581 are 1, 5581
The factors of 1970 are 1, 2, 5, 10, 197, 394, 985, 1970
The HCF of 5581,1970 is 1.
Lets's calculate GCF of 5581,1970
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5581,1970 By Matching Biggest Common Factor Method
Now, list down the factors of 5581
:1,5581
Now, list down the factors of 1970
:1,2,5,10,197,394,985,1970
Greatest Common Factor
We found the factors 5581,1970 . The biggest common factor number is the GCF number.
So the greatest common factor 5581,1970 is 1.
Lets's calculate LCM of 992,2302
| 2 | 992, 2302 |
| 496, 1151 |
∴ So the LCM of the given numbers is 2 x 496 x 1151 = 1141792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1141792
Therefore, the GCF of Fractions 5581/992,1970/2302 is 1/1141792
Least Common Multiple of 992,2302 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 992,2302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,2302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(992,2302) x common factors =2 x 1 = 2
LCM(992,2302) = ( 992 × 2302 ) / 2
LCM(992,2302) = 2283584 / 2
LCM(992,2302) = 1141792
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FAQs on GCF of Fractions of 5581/992, 1970/2302
1. What is the HCF of 5581,1970?
The HCF of 5581,1970 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 5581/992, 1970/2302?
Answer: GCF of Numerators as per given numbers 5581/992, 1970/2302 is
GCF of Numerators i.e. for 5581,1970 is 1
LCM of denominators i.e. for 992,2302 is 1141792.
Thus, GCF of Fractions is 1/1141792.Finally, GCF of Fractions for 5581/992, 1970/2302 is 1/1141792.