GCF of 484/801, 206/825, 698/624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 484/801, 206/825, 698/624 i.e 2/45817200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 484/801, 206/825, 698/624.
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 484/801,206/825,698/624?
Given fractions are 484/801,206/825,698/624
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 484/801,206/825,698/624, numerators are 484,206,698
Denominators are 801,825,624
The GCF of 484,206,698 is 2 .
LCM of 801,825,624 is 45817200.
The greatest common factor of 484/801,206/825,698/624 = [GCF of 484,206,698]/[LCM of 801,825,624]= 2/45817200
Therefore, the GCF of 484/801,206/825,698/624 is 2/45817200.
To find the highest common factor of 484,206,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484
The factors of 206 are 1, 2, 103, 206
The factors of 698 are 1, 2, 349, 698
The HCF of 484,206,698 is 2.
Lets's calculate GCF of 484,206,698
| 2 | 484, 206, 698 |
| 242, 103, 349 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 484,206,698 By Matching Biggest Common Factor Method
Now, list down the factors of 484
:1,2,4,11,22,44,121,242,484
Now, list down the factors of 206
:1,2,103,206
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 484,206,698 . The biggest common factor number is the GCF number.
So the greatest common factor 484,206,698 is 2.
Lets's calculate LCM of 801,825,624
| 3 | 801, 825, 624 |
| 267, 275, 208 |
∴ So the LCM of the given numbers is 3 x 267 x 275 x 208 = 45817200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45817200
Therefore, the GCF of Fractions 484/801,206/825,698/624 is 2/45817200
Least Common Multiple of 801,825,624 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 801,825,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,825,624) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(801,825,624) x common factors =3 x 3 = 9
LCM(801,825,624) = ( 801 × 825 × 624 ) / 9
LCM(801,825,624) = 412354800 / 9
LCM(801,825,624) = 45817200
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FAQs on GCF of Fractions of 484/801, 206/825, 698/624
1. What is the HCF of 484,206,698?
The HCF of 484,206,698 is 2
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 484/801, 206/825, 698/624?
Answer: GCF of Numerators as per given numbers 484/801, 206/825, 698/624 is
GCF of Numerators i.e. for 484,206,698 is 2
LCM of denominators i.e. for 801,825,624 is 45817200.
Thus, GCF of Fractions is 2/45817200.Finally, GCF of Fractions for 484/801, 206/825, 698/624 is 2/45817200.