GCF of 5954/302, 5776/6260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5954/302, 5776/6260 i.e 2/945260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5954/302, 5776/6260.
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 5954/302,5776/6260?
Given fractions are 5954/302,5776/6260
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 5954/302,5776/6260, numerators are 5954,5776
Denominators are 302,6260
The GCF of 5954,5776 is 2 .
LCM of 302,6260 is 945260.
The greatest common factor of 5954/302,5776/6260 = [GCF of 5954,5776]/[LCM of 302,6260]= 2/945260
Therefore, the GCF of 5954/302,5776/6260 is 2/945260.
To find the highest common factor of 5954,5776, we have to find the factors of both numbers and list the highest common factor.
The factors of 5954 are 1, 2, 13, 26, 229, 458, 2977, 5954
The factors of 5776 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 361, 722, 1444, 2888, 5776
The HCF of 5954,5776 is 2.
Lets's calculate GCF of 5954,5776
| 2 | 5954, 5776 |
| 2977, 2888 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5954,5776 By Matching Biggest Common Factor Method
Now, list down the factors of 5954
:1,2,13,26,229,458,2977,5954
Now, list down the factors of 5776
:1,2,4,8,16,19,38,76,152,304,361,722,1444,2888,5776
Greatest Common Factor
We found the factors 5954,5776 . The biggest common factor number is the GCF number.
So the greatest common factor 5954,5776 is 2.
Lets's calculate LCM of 302,6260
| 2 | 302, 6260 |
| 151, 3130 |
∴ So the LCM of the given numbers is 2 x 151 x 3130 = 945260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/945260
Therefore, the GCF of Fractions 5954/302,5776/6260 is 2/945260
Least Common Multiple of 302,6260 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 302,6260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,6260) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,6260) x common factors =2 x 1 = 2
LCM(302,6260) = ( 302 × 6260 ) / 2
LCM(302,6260) = 1890520 / 2
LCM(302,6260) = 945260
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FAQs on GCF of Fractions of 5954/302, 5776/6260
1. What is the HCF of 5954,5776?
The HCF of 5954,5776 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 5954/302, 5776/6260?
Answer: GCF of Numerators as per given numbers 5954/302, 5776/6260 is
GCF of Numerators i.e. for 5954,5776 is 2
LCM of denominators i.e. for 302,6260 is 945260.
Thus, GCF of Fractions is 2/945260.Finally, GCF of Fractions for 5954/302, 5776/6260 is 2/945260.