GCF of 3069/383, 9348/7315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3069/383, 9348/7315 i.e 3/2801645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3069/383, 9348/7315.
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 3069/383,9348/7315?
Given fractions are 3069/383,9348/7315
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 3069/383,9348/7315, numerators are 3069,9348
Denominators are 383,7315
The GCF of 3069,9348 is 3 .
LCM of 383,7315 is 2801645.
The greatest common factor of 3069/383,9348/7315 = [GCF of 3069,9348]/[LCM of 383,7315]= 3/2801645
Therefore, the GCF of 3069/383,9348/7315 is 3/2801645.
To find the highest common factor of 3069,9348, we have to find the factors of both numbers and list the highest common factor.
The factors of 3069 are 1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069
The factors of 9348 are 1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348
The HCF of 3069,9348 is 3.
Lets's calculate GCF of 3069,9348
| 3 | 3069, 9348 |
| 1023, 3116 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3069,9348 By Matching Biggest Common Factor Method
Now, list down the factors of 3069
:1,3,9,11,31,33,93,99,279,341,1023,3069
Now, list down the factors of 9348
:1,2,3,4,6,12,19,38,41,57,76,82,114,123,164,228,246,492,779,1558,2337,3116,4674,9348
Greatest Common Factor
We found the factors 3069,9348 . The biggest common factor number is the GCF number.
So the greatest common factor 3069,9348 is 3.
Lets's calculate LCM of 383,7315
Given numbers has no common factors except 1. So, there LCM is their product i.e 2801645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2801645
Therefore, the GCF of Fractions 3069/383,9348/7315 is 3/2801645
Least Common Multiple of 383,7315 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 383,7315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,7315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,7315) x common factors =1 x 1 = 1
LCM(383,7315) = ( 383 × 7315 ) / 1
LCM(383,7315) = 2801645 / 1
LCM(383,7315) = 2801645
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FAQs on GCF of Fractions of 3069/383, 9348/7315
1. What is the HCF of 3069,9348?
The HCF of 3069,9348 is 3
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 3069/383, 9348/7315?
Answer: GCF of Numerators as per given numbers 3069/383, 9348/7315 is
GCF of Numerators i.e. for 3069,9348 is 3
LCM of denominators i.e. for 383,7315 is 2801645.
Thus, GCF of Fractions is 3/2801645.Finally, GCF of Fractions for 3069/383, 9348/7315 is 3/2801645.