GCF of 6290/118, 1970/3183
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6290/118, 1970/3183 i.e 10/375594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6290/118, 1970/3183.
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 6290/118,1970/3183?
Given fractions are 6290/118,1970/3183
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 6290/118,1970/3183, numerators are 6290,1970
Denominators are 118,3183
The GCF of 6290,1970 is 10 .
LCM of 118,3183 is 375594.
The greatest common factor of 6290/118,1970/3183 = [GCF of 6290,1970]/[LCM of 118,3183]= 10/375594
Therefore, the GCF of 6290/118,1970/3183 is 10/375594.
To find the highest common factor of 6290,1970, we have to find the factors of both numbers and list the highest common factor.
The factors of 6290 are 1, 2, 5, 10, 17, 34, 37, 74, 85, 170, 185, 370, 629, 1258, 3145, 6290
The factors of 1970 are 1, 2, 5, 10, 197, 394, 985, 1970
The HCF of 6290,1970 is 10.
Lets's calculate GCF of 6290,1970
| 2 | 6290, 1970 |
| 5 | 3145, 985 |
| 629, 197 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6290,1970 By Matching Biggest Common Factor Method
Now, list down the factors of 6290
:1,2,5,10,17,34,37,74,85,170,185,370,629,1258,3145,6290
Now, list down the factors of 1970
:1,2,5,10,197,394,985,1970
Greatest Common Factor
We found the factors 6290,1970 . The biggest common factor number is the GCF number.
So the greatest common factor 6290,1970 is 10.
Lets's calculate LCM of 118,3183
Given numbers has no common factors except 1. So, there LCM is their product i.e 375594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/375594
Therefore, the GCF of Fractions 6290/118,1970/3183 is 10/375594
Least Common Multiple of 118,3183 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 118,3183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,3183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(118,3183) x common factors =1 x 1 = 1
LCM(118,3183) = ( 118 × 3183 ) / 1
LCM(118,3183) = 375594 / 1
LCM(118,3183) = 375594
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FAQs on GCF of Fractions of 6290/118, 1970/3183
1. What is the HCF of 6290,1970?
The HCF of 6290,1970 is 10
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 6290/118, 1970/3183?
Answer: GCF of Numerators as per given numbers 6290/118, 1970/3183 is
GCF of Numerators i.e. for 6290,1970 is 10
LCM of denominators i.e. for 118,3183 is 375594.
Thus, GCF of Fractions is 10/375594.Finally, GCF of Fractions for 6290/118, 1970/3183 is 10/375594.