GCF of 3987/402, 5486/434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3987/402, 5486/434 i.e 1/87234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3987/402, 5486/434.
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 3987/402,5486/434?
Given fractions are 3987/402,5486/434
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 3987/402,5486/434, numerators are 3987,5486
Denominators are 402,434
The GCF of 3987,5486 is 1 .
LCM of 402,434 is 87234.
The greatest common factor of 3987/402,5486/434 = [GCF of 3987,5486]/[LCM of 402,434]= 1/87234
Therefore, the GCF of 3987/402,5486/434 is 1/87234.
To find the highest common factor of 3987,5486, we have to find the factors of both numbers and list the highest common factor.
The factors of 3987 are 1, 3, 9, 443, 1329, 3987
The factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486
The HCF of 3987,5486 is 1.
Lets's calculate GCF of 3987,5486
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3987,5486 By Matching Biggest Common Factor Method
Now, list down the factors of 3987
:1,3,9,443,1329,3987
Now, list down the factors of 5486
:1,2,13,26,211,422,2743,5486
Greatest Common Factor
We found the factors 3987,5486 . The biggest common factor number is the GCF number.
So the greatest common factor 3987,5486 is 1.
Lets's calculate LCM of 402,434
| 2 | 402, 434 |
| 201, 217 |
∴ So the LCM of the given numbers is 2 x 201 x 217 = 87234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87234
Therefore, the GCF of Fractions 3987/402,5486/434 is 1/87234
Least Common Multiple of 402,434 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 402,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,434) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(402,434) x common factors =2 x 1 = 2
LCM(402,434) = ( 402 × 434 ) / 2
LCM(402,434) = 174468 / 2
LCM(402,434) = 87234
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FAQs on GCF of Fractions of 3987/402, 5486/434
1. What is the HCF of 3987,5486?
The HCF of 3987,5486 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 3987/402, 5486/434?
Answer: GCF of Numerators as per given numbers 3987/402, 5486/434 is
GCF of Numerators i.e. for 3987,5486 is 1
LCM of denominators i.e. for 402,434 is 87234.
Thus, GCF of Fractions is 1/87234.Finally, GCF of Fractions for 3987/402, 5486/434 is 1/87234.