GCF of 6179/343, 6078/3430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6179/343, 6078/3430 i.e 1/3430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6179/343, 6078/3430.
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 6179/343,6078/3430?
Given fractions are 6179/343,6078/3430
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 6179/343,6078/3430, numerators are 6179,6078
Denominators are 343,3430
The GCF of 6179,6078 is 1 .
LCM of 343,3430 is 3430.
The greatest common factor of 6179/343,6078/3430 = [GCF of 6179,6078]/[LCM of 343,3430]= 1/3430
Therefore, the GCF of 6179/343,6078/3430 is 1/3430.
To find the highest common factor of 6179,6078, we have to find the factors of both numbers and list the highest common factor.
The factors of 6179 are 1, 37, 167, 6179
The factors of 6078 are 1, 2, 3, 6, 1013, 2026, 3039, 6078
The HCF of 6179,6078 is 1.
Lets's calculate GCF of 6179,6078
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6179,6078 By Matching Biggest Common Factor Method
Now, list down the factors of 6179
:1,37,167,6179
Now, list down the factors of 6078
:1,2,3,6,1013,2026,3039,6078
Greatest Common Factor
We found the factors 6179,6078 . The biggest common factor number is the GCF number.
So the greatest common factor 6179,6078 is 1.
Lets's calculate LCM of 343,3430
| 7 | 343, 3430 |
| 7 | 49, 490 |
| 7 | 7, 70 |
| 1, 10 |
∴ So the LCM of the given numbers is 7 x 7 x 7 x 1 x 10 = 3430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3430
Therefore, the GCF of Fractions 6179/343,6078/3430 is 1/3430
Least Common Multiple of 343,3430 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 343,3430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,3430) = 343
common factors(in case of two or more numbers have common factors) = 1
GCF(343,3430) x common factors =343 x 1 = 343
LCM(343,3430) = ( 343 × 3430 ) / 343
LCM(343,3430) = 1176490 / 343
LCM(343,3430) = 3430
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FAQs on GCF of Fractions of 6179/343, 6078/3430
1. What is the HCF of 6179,6078?
The HCF of 6179,6078 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 6179/343, 6078/3430?
Answer: GCF of Numerators as per given numbers 6179/343, 6078/3430 is
GCF of Numerators i.e. for 6179,6078 is 1
LCM of denominators i.e. for 343,3430 is 3430.
Thus, GCF of Fractions is 1/3430.Finally, GCF of Fractions for 6179/343, 6078/3430 is 1/3430.