GCF of 7339/346, 4004/1130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7339/346, 4004/1130 i.e 1/195490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7339/346, 4004/1130.
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 7339/346,4004/1130?
Given fractions are 7339/346,4004/1130
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 7339/346,4004/1130, numerators are 7339,4004
Denominators are 346,1130
The GCF of 7339,4004 is 1 .
LCM of 346,1130 is 195490.
The greatest common factor of 7339/346,4004/1130 = [GCF of 7339,4004]/[LCM of 346,1130]= 1/195490
Therefore, the GCF of 7339/346,4004/1130 is 1/195490.
To find the highest common factor of 7339,4004, we have to find the factors of both numbers and list the highest common factor.
The factors of 7339 are 1, 41, 179, 7339
The factors of 4004 are 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004
The HCF of 7339,4004 is 1.
Lets's calculate GCF of 7339,4004
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7339,4004 By Matching Biggest Common Factor Method
Now, list down the factors of 7339
:1,41,179,7339
Now, list down the factors of 4004
:1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004
Greatest Common Factor
We found the factors 7339,4004 . The biggest common factor number is the GCF number.
So the greatest common factor 7339,4004 is 1.
Lets's calculate LCM of 346,1130
| 2 | 346, 1130 |
| 173, 565 |
∴ So the LCM of the given numbers is 2 x 173 x 565 = 195490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195490
Therefore, the GCF of Fractions 7339/346,4004/1130 is 1/195490
Least Common Multiple of 346,1130 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 346,1130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,1130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,1130) x common factors =2 x 1 = 2
LCM(346,1130) = ( 346 × 1130 ) / 2
LCM(346,1130) = 390980 / 2
LCM(346,1130) = 195490
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FAQs on GCF of Fractions of 7339/346, 4004/1130
1. What is the HCF of 7339,4004?
The HCF of 7339,4004 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 7339/346, 4004/1130?
Answer: GCF of Numerators as per given numbers 7339/346, 4004/1130 is
GCF of Numerators i.e. for 7339,4004 is 1
LCM of denominators i.e. for 346,1130 is 195490.
Thus, GCF of Fractions is 1/195490.Finally, GCF of Fractions for 7339/346, 4004/1130 is 1/195490.