GCF of 2956/218, 2063/654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2956/218, 2063/654 i.e 1/654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2956/218, 2063/654.
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 2956/218,2063/654?
Given fractions are 2956/218,2063/654
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 2956/218,2063/654, numerators are 2956,2063
Denominators are 218,654
The GCF of 2956,2063 is 1 .
LCM of 218,654 is 654.
The greatest common factor of 2956/218,2063/654 = [GCF of 2956,2063]/[LCM of 218,654]= 1/654
Therefore, the GCF of 2956/218,2063/654 is 1/654.
To find the highest common factor of 2956,2063, we have to find the factors of both numbers and list the highest common factor.
The factors of 2956 are 1, 2, 4, 739, 1478, 2956
The factors of 2063 are 1, 2063
The HCF of 2956,2063 is 1.
Lets's calculate GCF of 2956,2063
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2956,2063 By Matching Biggest Common Factor Method
Now, list down the factors of 2956
:1,2,4,739,1478,2956
Now, list down the factors of 2063
:1,2063
Greatest Common Factor
We found the factors 2956,2063 . The biggest common factor number is the GCF number.
So the greatest common factor 2956,2063 is 1.
Lets's calculate LCM of 218,654
| 2 | 218, 654 |
| 109 | 109, 327 |
| 1, 3 |
∴ So the LCM of the given numbers is 2 x 109 x 1 x 3 = 654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654
Therefore, the GCF of Fractions 2956/218,2063/654 is 1/654
Least Common Multiple of 218,654 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 218,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,654) = 218
common factors(in case of two or more numbers have common factors) = 1
GCF(218,654) x common factors =218 x 1 = 218
LCM(218,654) = ( 218 × 654 ) / 218
LCM(218,654) = 142572 / 218
LCM(218,654) = 654
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FAQs on GCF of Fractions of 2956/218, 2063/654
1. What is the HCF of 2956,2063?
The HCF of 2956,2063 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 2956/218, 2063/654?
Answer: GCF of Numerators as per given numbers 2956/218, 2063/654 is
GCF of Numerators i.e. for 2956,2063 is 1
LCM of denominators i.e. for 218,654 is 654.
Thus, GCF of Fractions is 1/654.Finally, GCF of Fractions for 2956/218, 2063/654 is 1/654.