GCF of 202/289, 2538/976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 202/289, 2538/976 i.e 2/282064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 202/289, 2538/976.
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 202/289,2538/976?
Given fractions are 202/289,2538/976
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 202/289,2538/976, numerators are 202,2538
Denominators are 289,976
The GCF of 202,2538 is 2 .
LCM of 289,976 is 282064.
The greatest common factor of 202/289,2538/976 = [GCF of 202,2538]/[LCM of 289,976]= 2/282064
Therefore, the GCF of 202/289,2538/976 is 2/282064.
To find the highest common factor of 202,2538, we have to find the factors of both numbers and list the highest common factor.
The factors of 202 are 1, 2, 101, 202
The factors of 2538 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538
The HCF of 202,2538 is 2.
Lets's calculate GCF of 202,2538
| 2 | 202, 2538 |
| 101, 1269 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 202,2538 By Matching Biggest Common Factor Method
Now, list down the factors of 202
:1,2,101,202
Now, list down the factors of 2538
:1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538
Greatest Common Factor
We found the factors 202,2538 . The biggest common factor number is the GCF number.
So the greatest common factor 202,2538 is 2.
Lets's calculate LCM of 289,976
Given numbers has no common factors except 1. So, there LCM is their product i.e 282064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/282064
Therefore, the GCF of Fractions 202/289,2538/976 is 2/282064
Least Common Multiple of 289,976 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 289,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,976) x common factors =1 x 1 = 1
LCM(289,976) = ( 289 × 976 ) / 1
LCM(289,976) = 282064 / 1
LCM(289,976) = 282064
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FAQs on GCF of Fractions of 202/289, 2538/976
1. What is the HCF of 202,2538?
The HCF of 202,2538 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 202/289, 2538/976?
Answer: GCF of Numerators as per given numbers 202/289, 2538/976 is
GCF of Numerators i.e. for 202,2538 is 2
LCM of denominators i.e. for 289,976 is 282064.
Thus, GCF of Fractions is 2/282064.Finally, GCF of Fractions for 202/289, 2538/976 is 2/282064.