GCF of 4862/509, 5504/5132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4862/509, 5504/5132 i.e 2/2612188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4862/509, 5504/5132.
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 4862/509,5504/5132?
Given fractions are 4862/509,5504/5132
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 4862/509,5504/5132, numerators are 4862,5504
Denominators are 509,5132
The GCF of 4862,5504 is 2 .
LCM of 509,5132 is 2612188.
The greatest common factor of 4862/509,5504/5132 = [GCF of 4862,5504]/[LCM of 509,5132]= 2/2612188
Therefore, the GCF of 4862/509,5504/5132 is 2/2612188.
To find the highest common factor of 4862,5504, we have to find the factors of both numbers and list the highest common factor.
The factors of 4862 are 1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 374, 442, 2431, 4862
The factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504
The HCF of 4862,5504 is 2.
Lets's calculate GCF of 4862,5504
| 2 | 4862, 5504 |
| 2431, 2752 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4862,5504 By Matching Biggest Common Factor Method
Now, list down the factors of 4862
:1,2,11,13,17,22,26,34,143,187,221,286,374,442,2431,4862
Now, list down the factors of 5504
:1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504
Greatest Common Factor
We found the factors 4862,5504 . The biggest common factor number is the GCF number.
So the greatest common factor 4862,5504 is 2.
Lets's calculate LCM of 509,5132
Given numbers has no common factors except 1. So, there LCM is their product i.e 2612188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2612188
Therefore, the GCF of Fractions 4862/509,5504/5132 is 2/2612188
Least Common Multiple of 509,5132 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 509,5132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,5132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,5132) x common factors =1 x 1 = 1
LCM(509,5132) = ( 509 × 5132 ) / 1
LCM(509,5132) = 2612188 / 1
LCM(509,5132) = 2612188
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FAQs on GCF of Fractions of 4862/509, 5504/5132
1. What is the HCF of 4862,5504?
The HCF of 4862,5504 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 4862/509, 5504/5132?
Answer: GCF of Numerators as per given numbers 4862/509, 5504/5132 is
GCF of Numerators i.e. for 4862,5504 is 2
LCM of denominators i.e. for 509,5132 is 2612188.
Thus, GCF of Fractions is 2/2612188.Finally, GCF of Fractions for 4862/509, 5504/5132 is 2/2612188.