GCF of 3631/990, 4414/7569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3631/990, 4414/7569 i.e 1/832590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3631/990, 4414/7569.
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 3631/990,4414/7569?
Given fractions are 3631/990,4414/7569
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 3631/990,4414/7569, numerators are 3631,4414
Denominators are 990,7569
The GCF of 3631,4414 is 1 .
LCM of 990,7569 is 832590.
The greatest common factor of 3631/990,4414/7569 = [GCF of 3631,4414]/[LCM of 990,7569]= 1/832590
Therefore, the GCF of 3631/990,4414/7569 is 1/832590.
To find the highest common factor of 3631,4414, we have to find the factors of both numbers and list the highest common factor.
The factors of 3631 are 1, 3631
The factors of 4414 are 1, 2, 2207, 4414
The HCF of 3631,4414 is 1.
Lets's calculate GCF of 3631,4414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3631,4414 By Matching Biggest Common Factor Method
Now, list down the factors of 3631
:1,3631
Now, list down the factors of 4414
:1,2,2207,4414
Greatest Common Factor
We found the factors 3631,4414 . The biggest common factor number is the GCF number.
So the greatest common factor 3631,4414 is 1.
Lets's calculate LCM of 990,7569
| 3 | 990, 7569 |
| 3 | 330, 2523 |
| 110, 841 |
∴ So the LCM of the given numbers is 3 x 3 x 110 x 841 = 832590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/832590
Therefore, the GCF of Fractions 3631/990,4414/7569 is 1/832590
Least Common Multiple of 990,7569 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 990,7569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,7569) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(990,7569) x common factors =9 x 1 = 9
LCM(990,7569) = ( 990 × 7569 ) / 9
LCM(990,7569) = 7493310 / 9
LCM(990,7569) = 832590
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FAQs on GCF of Fractions of 3631/990, 4414/7569
1. What is the HCF of 3631,4414?
The HCF of 3631,4414 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 3631/990, 4414/7569?
Answer: GCF of Numerators as per given numbers 3631/990, 4414/7569 is
GCF of Numerators i.e. for 3631,4414 is 1
LCM of denominators i.e. for 990,7569 is 832590.
Thus, GCF of Fractions is 1/832590.Finally, GCF of Fractions for 3631/990, 4414/7569 is 1/832590.