GCF of 5531/642, 2021/9771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5531/642, 2021/9771 i.e 1/2090994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5531/642, 2021/9771.
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 5531/642,2021/9771?
Given fractions are 5531/642,2021/9771
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 5531/642,2021/9771, numerators are 5531,2021
Denominators are 642,9771
The GCF of 5531,2021 is 1 .
LCM of 642,9771 is 2090994.
The greatest common factor of 5531/642,2021/9771 = [GCF of 5531,2021]/[LCM of 642,9771]= 1/2090994
Therefore, the GCF of 5531/642,2021/9771 is 1/2090994.
To find the highest common factor of 5531,2021, we have to find the factors of both numbers and list the highest common factor.
The factors of 5531 are 1, 5531
The factors of 2021 are 1, 43, 47, 2021
The HCF of 5531,2021 is 1.
Lets's calculate GCF of 5531,2021
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5531,2021 By Matching Biggest Common Factor Method
Now, list down the factors of 5531
:1,5531
Now, list down the factors of 2021
:1,43,47,2021
Greatest Common Factor
We found the factors 5531,2021 . The biggest common factor number is the GCF number.
So the greatest common factor 5531,2021 is 1.
Lets's calculate LCM of 642,9771
| 3 | 642, 9771 |
| 214, 3257 |
∴ So the LCM of the given numbers is 3 x 214 x 3257 = 2090994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2090994
Therefore, the GCF of Fractions 5531/642,2021/9771 is 1/2090994
Least Common Multiple of 642,9771 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 642,9771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,9771) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(642,9771) x common factors =3 x 1 = 3
LCM(642,9771) = ( 642 × 9771 ) / 3
LCM(642,9771) = 6272982 / 3
LCM(642,9771) = 2090994
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FAQs on GCF of Fractions of 5531/642, 2021/9771
1. What is the HCF of 5531,2021?
The HCF of 5531,2021 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 5531/642, 2021/9771?
Answer: GCF of Numerators as per given numbers 5531/642, 2021/9771 is
GCF of Numerators i.e. for 5531,2021 is 1
LCM of denominators i.e. for 642,9771 is 2090994.
Thus, GCF of Fractions is 1/2090994.Finally, GCF of Fractions for 5531/642, 2021/9771 is 1/2090994.