GCF of 3045/272, 9478/1417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3045/272, 9478/1417 i.e 7/385424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3045/272, 9478/1417.
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 3045/272,9478/1417?
Given fractions are 3045/272,9478/1417
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 3045/272,9478/1417, numerators are 3045,9478
Denominators are 272,1417
The GCF of 3045,9478 is 7 .
LCM of 272,1417 is 385424.
The greatest common factor of 3045/272,9478/1417 = [GCF of 3045,9478]/[LCM of 272,1417]= 7/385424
Therefore, the GCF of 3045/272,9478/1417 is 7/385424.
To find the highest common factor of 3045,9478, we have to find the factors of both numbers and list the highest common factor.
The factors of 3045 are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045
The factors of 9478 are 1, 2, 7, 14, 677, 1354, 4739, 9478
The HCF of 3045,9478 is 7.
Lets's calculate GCF of 3045,9478
| 7 | 3045, 9478 |
| 435, 1354 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3045,9478 By Matching Biggest Common Factor Method
Now, list down the factors of 3045
:1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045
Now, list down the factors of 9478
:1,2,7,14,677,1354,4739,9478
Greatest Common Factor
We found the factors 3045,9478 . The biggest common factor number is the GCF number.
So the greatest common factor 3045,9478 is 7.
Lets's calculate LCM of 272,1417
Given numbers has no common factors except 1. So, there LCM is their product i.e 385424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/385424
Therefore, the GCF of Fractions 3045/272,9478/1417 is 7/385424
Least Common Multiple of 272,1417 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 272,1417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,1417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(272,1417) x common factors =1 x 1 = 1
LCM(272,1417) = ( 272 × 1417 ) / 1
LCM(272,1417) = 385424 / 1
LCM(272,1417) = 385424
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FAQs on GCF of Fractions of 3045/272, 9478/1417
1. What is the HCF of 3045,9478?
The HCF of 3045,9478 is 7
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 3045/272, 9478/1417?
Answer: GCF of Numerators as per given numbers 3045/272, 9478/1417 is
GCF of Numerators i.e. for 3045,9478 is 7
LCM of denominators i.e. for 272,1417 is 385424.
Thus, GCF of Fractions is 7/385424.Finally, GCF of Fractions for 3045/272, 9478/1417 is 7/385424.