GCF of 7380/453, 4314/1361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7380/453, 4314/1361 i.e 6/616533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7380/453, 4314/1361.
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 7380/453,4314/1361?
Given fractions are 7380/453,4314/1361
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 7380/453,4314/1361, numerators are 7380,4314
Denominators are 453,1361
The GCF of 7380,4314 is 6 .
LCM of 453,1361 is 616533.
The greatest common factor of 7380/453,4314/1361 = [GCF of 7380,4314]/[LCM of 453,1361]= 6/616533
Therefore, the GCF of 7380/453,4314/1361 is 6/616533.
To find the highest common factor of 7380,4314, we have to find the factors of both numbers and list the highest common factor.
The factors of 7380 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380
The factors of 4314 are 1, 2, 3, 6, 719, 1438, 2157, 4314
The HCF of 7380,4314 is 6.
Lets's calculate GCF of 7380,4314
| 2 | 7380, 4314 |
| 3 | 3690, 2157 |
| 1230, 719 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7380,4314 By Matching Biggest Common Factor Method
Now, list down the factors of 7380
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,41,45,60,82,90,123,164,180,205,246,369,410,492,615,738,820,1230,1476,1845,2460,3690,7380
Now, list down the factors of 4314
:1,2,3,6,719,1438,2157,4314
Greatest Common Factor
We found the factors 7380,4314 . The biggest common factor number is the GCF number.
So the greatest common factor 7380,4314 is 6.
Lets's calculate LCM of 453,1361
Given numbers has no common factors except 1. So, there LCM is their product i.e 616533
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/616533
Therefore, the GCF of Fractions 7380/453,4314/1361 is 6/616533
Least Common Multiple of 453,1361 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 453,1361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,1361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(453,1361) x common factors =1 x 1 = 1
LCM(453,1361) = ( 453 × 1361 ) / 1
LCM(453,1361) = 616533 / 1
LCM(453,1361) = 616533
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FAQs on GCF of Fractions of 7380/453, 4314/1361
1. What is the HCF of 7380,4314?
The HCF of 7380,4314 is 6
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 7380/453, 4314/1361?
Answer: GCF of Numerators as per given numbers 7380/453, 4314/1361 is
GCF of Numerators i.e. for 7380,4314 is 6
LCM of denominators i.e. for 453,1361 is 616533.
Thus, GCF of Fractions is 6/616533.Finally, GCF of Fractions for 7380/453, 4314/1361 is 6/616533.