GCF of 4474/312, 3681/830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4474/312, 3681/830 i.e 1/129480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4474/312, 3681/830.
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 4474/312,3681/830?
Given fractions are 4474/312,3681/830
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 4474/312,3681/830, numerators are 4474,3681
Denominators are 312,830
The GCF of 4474,3681 is 1 .
LCM of 312,830 is 129480.
The greatest common factor of 4474/312,3681/830 = [GCF of 4474,3681]/[LCM of 312,830]= 1/129480
Therefore, the GCF of 4474/312,3681/830 is 1/129480.
To find the highest common factor of 4474,3681, we have to find the factors of both numbers and list the highest common factor.
The factors of 4474 are 1, 2, 2237, 4474
The factors of 3681 are 1, 3, 9, 409, 1227, 3681
The HCF of 4474,3681 is 1.
Lets's calculate GCF of 4474,3681
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4474,3681 By Matching Biggest Common Factor Method
Now, list down the factors of 4474
:1,2,2237,4474
Now, list down the factors of 3681
:1,3,9,409,1227,3681
Greatest Common Factor
We found the factors 4474,3681 . The biggest common factor number is the GCF number.
So the greatest common factor 4474,3681 is 1.
Lets's calculate LCM of 312,830
| 2 | 312, 830 |
| 156, 415 |
∴ So the LCM of the given numbers is 2 x 156 x 415 = 129480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129480
Therefore, the GCF of Fractions 4474/312,3681/830 is 1/129480
Least Common Multiple of 312,830 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 312,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(312,830) x common factors =2 x 1 = 2
LCM(312,830) = ( 312 × 830 ) / 2
LCM(312,830) = 258960 / 2
LCM(312,830) = 129480
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FAQs on GCF of Fractions of 4474/312, 3681/830
1. What is the HCF of 4474,3681?
The HCF of 4474,3681 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 4474/312, 3681/830?
Answer: GCF of Numerators as per given numbers 4474/312, 3681/830 is
GCF of Numerators i.e. for 4474,3681 is 1
LCM of denominators i.e. for 312,830 is 129480.
Thus, GCF of Fractions is 1/129480.Finally, GCF of Fractions for 4474/312, 3681/830 is 1/129480.