GCF of 802/420, 9657/218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 802/420, 9657/218 i.e 1/45780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 802/420, 9657/218.
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 802/420,9657/218?
Given fractions are 802/420,9657/218
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 802/420,9657/218, numerators are 802,9657
Denominators are 420,218
The GCF of 802,9657 is 1 .
LCM of 420,218 is 45780.
The greatest common factor of 802/420,9657/218 = [GCF of 802,9657]/[LCM of 420,218]= 1/45780
Therefore, the GCF of 802/420,9657/218 is 1/45780.
To find the highest common factor of 802,9657, we have to find the factors of both numbers and list the highest common factor.
The factors of 802 are 1, 2, 401, 802
The factors of 9657 are 1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657
The HCF of 802,9657 is 1.
Lets's calculate GCF of 802,9657
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 802,9657 By Matching Biggest Common Factor Method
Now, list down the factors of 802
:1,2,401,802
Now, list down the factors of 9657
:1,3,9,29,37,87,111,261,333,1073,3219,9657
Greatest Common Factor
We found the factors 802,9657 . The biggest common factor number is the GCF number.
So the greatest common factor 802,9657 is 1.
Lets's calculate LCM of 420,218
| 2 | 420, 218 |
| 210, 109 |
∴ So the LCM of the given numbers is 2 x 210 x 109 = 45780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45780
Therefore, the GCF of Fractions 802/420,9657/218 is 1/45780
Least Common Multiple of 420,218 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 420,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(420,218) x common factors =2 x 1 = 2
LCM(420,218) = ( 420 × 218 ) / 2
LCM(420,218) = 91560 / 2
LCM(420,218) = 45780
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FAQs on GCF of Fractions of 802/420, 9657/218
1. What is the HCF of 802,9657?
The HCF of 802,9657 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 802/420, 9657/218?
Answer: GCF of Numerators as per given numbers 802/420, 9657/218 is
GCF of Numerators i.e. for 802,9657 is 1
LCM of denominators i.e. for 420,218 is 45780.
Thus, GCF of Fractions is 1/45780.Finally, GCF of Fractions for 802/420, 9657/218 is 1/45780.