GCF of 6170/342, 2107/4130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6170/342, 2107/4130 i.e 1/706230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6170/342, 2107/4130.
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 6170/342,2107/4130?
Given fractions are 6170/342,2107/4130
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 6170/342,2107/4130, numerators are 6170,2107
Denominators are 342,4130
The GCF of 6170,2107 is 1 .
LCM of 342,4130 is 706230.
The greatest common factor of 6170/342,2107/4130 = [GCF of 6170,2107]/[LCM of 342,4130]= 1/706230
Therefore, the GCF of 6170/342,2107/4130 is 1/706230.
To find the highest common factor of 6170,2107, we have to find the factors of both numbers and list the highest common factor.
The factors of 6170 are 1, 2, 5, 10, 617, 1234, 3085, 6170
The factors of 2107 are 1, 7, 43, 49, 301, 2107
The HCF of 6170,2107 is 1.
Lets's calculate GCF of 6170,2107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6170,2107 By Matching Biggest Common Factor Method
Now, list down the factors of 6170
:1,2,5,10,617,1234,3085,6170
Now, list down the factors of 2107
:1,7,43,49,301,2107
Greatest Common Factor
We found the factors 6170,2107 . The biggest common factor number is the GCF number.
So the greatest common factor 6170,2107 is 1.
Lets's calculate LCM of 342,4130
| 2 | 342, 4130 |
| 171, 2065 |
∴ So the LCM of the given numbers is 2 x 171 x 2065 = 706230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/706230
Therefore, the GCF of Fractions 6170/342,2107/4130 is 1/706230
Least Common Multiple of 342,4130 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 342,4130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,4130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,4130) x common factors =2 x 1 = 2
LCM(342,4130) = ( 342 × 4130 ) / 2
LCM(342,4130) = 1412460 / 2
LCM(342,4130) = 706230
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FAQs on GCF of Fractions of 6170/342, 2107/4130
1. What is the HCF of 6170,2107?
The HCF of 6170,2107 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 6170/342, 2107/4130?
Answer: GCF of Numerators as per given numbers 6170/342, 2107/4130 is
GCF of Numerators i.e. for 6170,2107 is 1
LCM of denominators i.e. for 342,4130 is 706230.
Thus, GCF of Fractions is 1/706230.Finally, GCF of Fractions for 6170/342, 2107/4130 is 1/706230.