GCF of 1990/504, 5353/142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1990/504, 5353/142 i.e 1/35784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1990/504, 5353/142.
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 1990/504,5353/142?
Given fractions are 1990/504,5353/142
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 1990/504,5353/142, numerators are 1990,5353
Denominators are 504,142
The GCF of 1990,5353 is 1 .
LCM of 504,142 is 35784.
The greatest common factor of 1990/504,5353/142 = [GCF of 1990,5353]/[LCM of 504,142]= 1/35784
Therefore, the GCF of 1990/504,5353/142 is 1/35784.
To find the highest common factor of 1990,5353, we have to find the factors of both numbers and list the highest common factor.
The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990
The factors of 5353 are 1, 53, 101, 5353
The HCF of 1990,5353 is 1.
Lets's calculate GCF of 1990,5353
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1990,5353 By Matching Biggest Common Factor Method
Now, list down the factors of 1990
:1,2,5,10,199,398,995,1990
Now, list down the factors of 5353
:1,53,101,5353
Greatest Common Factor
We found the factors 1990,5353 . The biggest common factor number is the GCF number.
So the greatest common factor 1990,5353 is 1.
Lets's calculate LCM of 504,142
| 2 | 504, 142 |
| 252, 71 |
∴ So the LCM of the given numbers is 2 x 252 x 71 = 35784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35784
Therefore, the GCF of Fractions 1990/504,5353/142 is 1/35784
Least Common Multiple of 504,142 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 504,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(504,142) x common factors =2 x 1 = 2
LCM(504,142) = ( 504 × 142 ) / 2
LCM(504,142) = 71568 / 2
LCM(504,142) = 35784
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FAQs on GCF of Fractions of 1990/504, 5353/142
1. What is the HCF of 1990,5353?
The HCF of 1990,5353 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 1990/504, 5353/142?
Answer: GCF of Numerators as per given numbers 1990/504, 5353/142 is
GCF of Numerators i.e. for 1990,5353 is 1
LCM of denominators i.e. for 504,142 is 35784.
Thus, GCF of Fractions is 1/35784.Finally, GCF of Fractions for 1990/504, 5353/142 is 1/35784.