GCF of 4116/144, 3479/5023
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4116/144, 3479/5023 i.e 49/723312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4116/144, 3479/5023.
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 4116/144,3479/5023?
Given fractions are 4116/144,3479/5023
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 4116/144,3479/5023, numerators are 4116,3479
Denominators are 144,5023
The GCF of 4116,3479 is 49 .
LCM of 144,5023 is 723312.
The greatest common factor of 4116/144,3479/5023 = [GCF of 4116,3479]/[LCM of 144,5023]= 49/723312
Therefore, the GCF of 4116/144,3479/5023 is 49/723312.
To find the highest common factor of 4116,3479, we have to find the factors of both numbers and list the highest common factor.
The factors of 4116 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116
The factors of 3479 are 1, 7, 49, 71, 497, 3479
The HCF of 4116,3479 is 49.
Lets's calculate GCF of 4116,3479
| 7 | 4116, 3479 |
| 7 | 588, 497 |
| 84, 71 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 4116,3479 By Matching Biggest Common Factor Method
Now, list down the factors of 4116
:1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116
Now, list down the factors of 3479
:1,7,49,71,497,3479
Greatest Common Factor
We found the factors 4116,3479 . The biggest common factor number is the GCF number.
So the greatest common factor 4116,3479 is 49.
Lets's calculate LCM of 144,5023
Given numbers has no common factors except 1. So, there LCM is their product i.e 723312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/723312
Therefore, the GCF of Fractions 4116/144,3479/5023 is 49/723312
Least Common Multiple of 144,5023 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 144,5023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,5023) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(144,5023) x common factors =1 x 1 = 1
LCM(144,5023) = ( 144 × 5023 ) / 1
LCM(144,5023) = 723312 / 1
LCM(144,5023) = 723312
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FAQs on GCF of Fractions of 4116/144, 3479/5023
1. What is the HCF of 4116,3479?
The HCF of 4116,3479 is 49
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 4116/144, 3479/5023?
Answer: GCF of Numerators as per given numbers 4116/144, 3479/5023 is
GCF of Numerators i.e. for 4116,3479 is 49
LCM of denominators i.e. for 144,5023 is 723312.
Thus, GCF of Fractions is 49/723312.Finally, GCF of Fractions for 4116/144, 3479/5023 is 49/723312.