GCF of 6958/305, 3189/2070
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6958/305, 3189/2070 i.e 1/126270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6958/305, 3189/2070.
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 6958/305,3189/2070?
Given fractions are 6958/305,3189/2070
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 6958/305,3189/2070, numerators are 6958,3189
Denominators are 305,2070
The GCF of 6958,3189 is 1 .
LCM of 305,2070 is 126270.
The greatest common factor of 6958/305,3189/2070 = [GCF of 6958,3189]/[LCM of 305,2070]= 1/126270
Therefore, the GCF of 6958/305,3189/2070 is 1/126270.
To find the highest common factor of 6958,3189, we have to find the factors of both numbers and list the highest common factor.
The factors of 6958 are 1, 2, 7, 14, 49, 71, 98, 142, 497, 994, 3479, 6958
The factors of 3189 are 1, 3, 1063, 3189
The HCF of 6958,3189 is 1.
Lets's calculate GCF of 6958,3189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6958,3189 By Matching Biggest Common Factor Method
Now, list down the factors of 6958
:1,2,7,14,49,71,98,142,497,994,3479,6958
Now, list down the factors of 3189
:1,3,1063,3189
Greatest Common Factor
We found the factors 6958,3189 . The biggest common factor number is the GCF number.
So the greatest common factor 6958,3189 is 1.
Lets's calculate LCM of 305,2070
| 5 | 305, 2070 |
| 61, 414 |
∴ So the LCM of the given numbers is 5 x 61 x 414 = 126270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126270
Therefore, the GCF of Fractions 6958/305,3189/2070 is 1/126270
Least Common Multiple of 305,2070 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 305,2070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,2070) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,2070) x common factors =5 x 1 = 5
LCM(305,2070) = ( 305 × 2070 ) / 5
LCM(305,2070) = 631350 / 5
LCM(305,2070) = 126270
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FAQs on GCF of Fractions of 6958/305, 3189/2070
1. What is the HCF of 6958,3189?
The HCF of 6958,3189 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 6958/305, 3189/2070?
Answer: GCF of Numerators as per given numbers 6958/305, 3189/2070 is
GCF of Numerators i.e. for 6958,3189 is 1
LCM of denominators i.e. for 305,2070 is 126270.
Thus, GCF of Fractions is 1/126270.Finally, GCF of Fractions for 6958/305, 3189/2070 is 1/126270.