GCF of 3479/139, 5904/7206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3479/139, 5904/7206 i.e 1/1001634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3479/139, 5904/7206.
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 3479/139,5904/7206?
Given fractions are 3479/139,5904/7206
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 3479/139,5904/7206, numerators are 3479,5904
Denominators are 139,7206
The GCF of 3479,5904 is 1 .
LCM of 139,7206 is 1001634.
The greatest common factor of 3479/139,5904/7206 = [GCF of 3479,5904]/[LCM of 139,7206]= 1/1001634
Therefore, the GCF of 3479/139,5904/7206 is 1/1001634.
To find the highest common factor of 3479,5904, we have to find the factors of both numbers and list the highest common factor.
The factors of 3479 are 1, 7, 49, 71, 497, 3479
The factors of 5904 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904
The HCF of 3479,5904 is 1.
Lets's calculate GCF of 3479,5904
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3479,5904 By Matching Biggest Common Factor Method
Now, list down the factors of 3479
:1,7,49,71,497,3479
Now, list down the factors of 5904
:1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904
Greatest Common Factor
We found the factors 3479,5904 . The biggest common factor number is the GCF number.
So the greatest common factor 3479,5904 is 1.
Lets's calculate LCM of 139,7206
Given numbers has no common factors except 1. So, there LCM is their product i.e 1001634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1001634
Therefore, the GCF of Fractions 3479/139,5904/7206 is 1/1001634
Least Common Multiple of 139,7206 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 139,7206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,7206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,7206) x common factors =1 x 1 = 1
LCM(139,7206) = ( 139 × 7206 ) / 1
LCM(139,7206) = 1001634 / 1
LCM(139,7206) = 1001634
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FAQs on GCF of Fractions of 3479/139, 5904/7206
1. What is the HCF of 3479,5904?
The HCF of 3479,5904 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 3479/139, 5904/7206?
Answer: GCF of Numerators as per given numbers 3479/139, 5904/7206 is
GCF of Numerators i.e. for 3479,5904 is 1
LCM of denominators i.e. for 139,7206 is 1001634.
Thus, GCF of Fractions is 1/1001634.Finally, GCF of Fractions for 3479/139, 5904/7206 is 1/1001634.