GCF of 6170/117, 2834/5118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6170/117, 2834/5118 i.e 2/199602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6170/117, 2834/5118.
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 6170/117,2834/5118?
Given fractions are 6170/117,2834/5118
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 6170/117,2834/5118, numerators are 6170,2834
Denominators are 117,5118
The GCF of 6170,2834 is 2 .
LCM of 117,5118 is 199602.
The greatest common factor of 6170/117,2834/5118 = [GCF of 6170,2834]/[LCM of 117,5118]= 2/199602
Therefore, the GCF of 6170/117,2834/5118 is 2/199602.
To find the highest common factor of 6170,2834, 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 2834 are 1, 2, 13, 26, 109, 218, 1417, 2834
The HCF of 6170,2834 is 2.
Lets's calculate GCF of 6170,2834
| 2 | 6170, 2834 |
| 3085, 1417 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6170,2834 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 2834
:1,2,13,26,109,218,1417,2834
Greatest Common Factor
We found the factors 6170,2834 . The biggest common factor number is the GCF number.
So the greatest common factor 6170,2834 is 2.
Lets's calculate LCM of 117,5118
| 3 | 117, 5118 |
| 39, 1706 |
∴ So the LCM of the given numbers is 3 x 39 x 1706 = 199602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199602
Therefore, the GCF of Fractions 6170/117,2834/5118 is 2/199602
Least Common Multiple of 117,5118 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 117,5118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,5118) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(117,5118) x common factors =3 x 1 = 3
LCM(117,5118) = ( 117 × 5118 ) / 3
LCM(117,5118) = 598806 / 3
LCM(117,5118) = 199602
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FAQs on GCF of Fractions of 6170/117, 2834/5118
1. What is the HCF of 6170,2834?
The HCF of 6170,2834 is 2
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 6170/117, 2834/5118?
Answer: GCF of Numerators as per given numbers 6170/117, 2834/5118 is
GCF of Numerators i.e. for 6170,2834 is 2
LCM of denominators i.e. for 117,5118 is 199602.
Thus, GCF of Fractions is 2/199602.Finally, GCF of Fractions for 6170/117, 2834/5118 is 2/199602.