GCF of 6242/377, 1392/199
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6242/377, 1392/199 i.e 2/75023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6242/377, 1392/199.
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 6242/377,1392/199?
Given fractions are 6242/377,1392/199
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 6242/377,1392/199, numerators are 6242,1392
Denominators are 377,199
The GCF of 6242,1392 is 2 .
LCM of 377,199 is 75023.
The greatest common factor of 6242/377,1392/199 = [GCF of 6242,1392]/[LCM of 377,199]= 2/75023
Therefore, the GCF of 6242/377,1392/199 is 2/75023.
To find the highest common factor of 6242,1392, we have to find the factors of both numbers and list the highest common factor.
The factors of 6242 are 1, 2, 3121, 6242
The factors of 1392 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392
The HCF of 6242,1392 is 2.
Lets's calculate GCF of 6242,1392
| 2 | 6242, 1392 |
| 3121, 696 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6242,1392 By Matching Biggest Common Factor Method
Now, list down the factors of 6242
:1,2,3121,6242
Now, list down the factors of 1392
:1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392
Greatest Common Factor
We found the factors 6242,1392 . The biggest common factor number is the GCF number.
So the greatest common factor 6242,1392 is 2.
Lets's calculate LCM of 377,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 75023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75023
Therefore, the GCF of Fractions 6242/377,1392/199 is 2/75023
Least Common Multiple of 377,199 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 377,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,199) x common factors =1 x 1 = 1
LCM(377,199) = ( 377 × 199 ) / 1
LCM(377,199) = 75023 / 1
LCM(377,199) = 75023
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FAQs on GCF of Fractions of 6242/377, 1392/199
1. What is the HCF of 6242,1392?
The HCF of 6242,1392 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 6242/377, 1392/199?
Answer: GCF of Numerators as per given numbers 6242/377, 1392/199 is
GCF of Numerators i.e. for 6242,1392 is 2
LCM of denominators i.e. for 377,199 is 75023.
Thus, GCF of Fractions is 2/75023.Finally, GCF of Fractions for 6242/377, 1392/199 is 2/75023.