GCF of 4619/556, 9882/596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4619/556, 9882/596 i.e 1/82844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4619/556, 9882/596.
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 4619/556,9882/596?
Given fractions are 4619/556,9882/596
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 4619/556,9882/596, numerators are 4619,9882
Denominators are 556,596
The GCF of 4619,9882 is 1 .
LCM of 556,596 is 82844.
The greatest common factor of 4619/556,9882/596 = [GCF of 4619,9882]/[LCM of 556,596]= 1/82844
Therefore, the GCF of 4619/556,9882/596 is 1/82844.
To find the highest common factor of 4619,9882, we have to find the factors of both numbers and list the highest common factor.
The factors of 4619 are 1, 31, 149, 4619
The factors of 9882 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882
The HCF of 4619,9882 is 1.
Lets's calculate GCF of 4619,9882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4619,9882 By Matching Biggest Common Factor Method
Now, list down the factors of 4619
:1,31,149,4619
Now, list down the factors of 9882
:1,2,3,6,9,18,27,54,61,81,122,162,183,366,549,1098,1647,3294,4941,9882
Greatest Common Factor
We found the factors 4619,9882 . The biggest common factor number is the GCF number.
So the greatest common factor 4619,9882 is 1.
Lets's calculate LCM of 556,596
| 2 | 556, 596 |
| 2 | 278, 298 |
| 139, 149 |
∴ So the LCM of the given numbers is 2 x 2 x 139 x 149 = 82844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82844
Therefore, the GCF of Fractions 4619/556,9882/596 is 1/82844
Least Common Multiple of 556,596 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 556,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(556,596) x common factors =4 x 1 = 4
LCM(556,596) = ( 556 × 596 ) / 4
LCM(556,596) = 331376 / 4
LCM(556,596) = 82844
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FAQs on GCF of Fractions of 4619/556, 9882/596
1. What is the HCF of 4619,9882?
The HCF of 4619,9882 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 4619/556, 9882/596?
Answer: GCF of Numerators as per given numbers 4619/556, 9882/596 is
GCF of Numerators i.e. for 4619,9882 is 1
LCM of denominators i.e. for 556,596 is 82844.
Thus, GCF of Fractions is 1/82844.Finally, GCF of Fractions for 4619/556, 9882/596 is 1/82844.