GCF of 4982/960, 8419/5515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4982/960, 8419/5515 i.e 1/1058880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4982/960, 8419/5515.
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 4982/960,8419/5515?
Given fractions are 4982/960,8419/5515
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 4982/960,8419/5515, numerators are 4982,8419
Denominators are 960,5515
The GCF of 4982,8419 is 1 .
LCM of 960,5515 is 1058880.
The greatest common factor of 4982/960,8419/5515 = [GCF of 4982,8419]/[LCM of 960,5515]= 1/1058880
Therefore, the GCF of 4982/960,8419/5515 is 1/1058880.
To find the highest common factor of 4982,8419, we have to find the factors of both numbers and list the highest common factor.
The factors of 4982 are 1, 2, 47, 53, 94, 106, 2491, 4982
The factors of 8419 are 1, 8419
The HCF of 4982,8419 is 1.
Lets's calculate GCF of 4982,8419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4982,8419 By Matching Biggest Common Factor Method
Now, list down the factors of 4982
:1,2,47,53,94,106,2491,4982
Now, list down the factors of 8419
:1,8419
Greatest Common Factor
We found the factors 4982,8419 . The biggest common factor number is the GCF number.
So the greatest common factor 4982,8419 is 1.
Lets's calculate LCM of 960,5515
| 5 | 960, 5515 |
| 192, 1103 |
∴ So the LCM of the given numbers is 5 x 192 x 1103 = 1058880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1058880
Therefore, the GCF of Fractions 4982/960,8419/5515 is 1/1058880
Least Common Multiple of 960,5515 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 960,5515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,5515) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(960,5515) x common factors =5 x 1 = 5
LCM(960,5515) = ( 960 × 5515 ) / 5
LCM(960,5515) = 5294400 / 5
LCM(960,5515) = 1058880
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FAQs on GCF of Fractions of 4982/960, 8419/5515
1. What is the HCF of 4982,8419?
The HCF of 4982,8419 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 4982/960, 8419/5515?
Answer: GCF of Numerators as per given numbers 4982/960, 8419/5515 is
GCF of Numerators i.e. for 4982,8419 is 1
LCM of denominators i.e. for 960,5515 is 1058880.
Thus, GCF of Fractions is 1/1058880.Finally, GCF of Fractions for 4982/960, 8419/5515 is 1/1058880.