GCF of 6194/783, 4314/7806
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6194/783, 4314/7806 i.e 2/2037366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6194/783, 4314/7806.
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 6194/783,4314/7806?
Given fractions are 6194/783,4314/7806
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 6194/783,4314/7806, numerators are 6194,4314
Denominators are 783,7806
The GCF of 6194,4314 is 2 .
LCM of 783,7806 is 2037366.
The greatest common factor of 6194/783,4314/7806 = [GCF of 6194,4314]/[LCM of 783,7806]= 2/2037366
Therefore, the GCF of 6194/783,4314/7806 is 2/2037366.
To find the highest common factor of 6194,4314, we have to find the factors of both numbers and list the highest common factor.
The factors of 6194 are 1, 2, 19, 38, 163, 326, 3097, 6194
The factors of 4314 are 1, 2, 3, 6, 719, 1438, 2157, 4314
The HCF of 6194,4314 is 2.
Lets's calculate GCF of 6194,4314
| 2 | 6194, 4314 |
| 3097, 2157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6194,4314 By Matching Biggest Common Factor Method
Now, list down the factors of 6194
:1,2,19,38,163,326,3097,6194
Now, list down the factors of 4314
:1,2,3,6,719,1438,2157,4314
Greatest Common Factor
We found the factors 6194,4314 . The biggest common factor number is the GCF number.
So the greatest common factor 6194,4314 is 2.
Lets's calculate LCM of 783,7806
| 3 | 783, 7806 |
| 261, 2602 |
∴ So the LCM of the given numbers is 3 x 261 x 2602 = 2037366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2037366
Therefore, the GCF of Fractions 6194/783,4314/7806 is 2/2037366
Least Common Multiple of 783,7806 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 783,7806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,7806) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,7806) x common factors =3 x 1 = 3
LCM(783,7806) = ( 783 × 7806 ) / 3
LCM(783,7806) = 6112098 / 3
LCM(783,7806) = 2037366
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FAQs on GCF of Fractions of 6194/783, 4314/7806
1. What is the HCF of 6194,4314?
The HCF of 6194,4314 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 6194/783, 4314/7806?
Answer: GCF of Numerators as per given numbers 6194/783, 4314/7806 is
GCF of Numerators i.e. for 6194,4314 is 2
LCM of denominators i.e. for 783,7806 is 2037366.
Thus, GCF of Fractions is 2/2037366.Finally, GCF of Fractions for 6194/783, 4314/7806 is 2/2037366.