GCF of 1798/107, 6154/6943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1798/107, 6154/6943 i.e 2/742901 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1798/107, 6154/6943.
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 1798/107,6154/6943?
Given fractions are 1798/107,6154/6943
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 1798/107,6154/6943, numerators are 1798,6154
Denominators are 107,6943
The GCF of 1798,6154 is 2 .
LCM of 107,6943 is 742901.
The greatest common factor of 1798/107,6154/6943 = [GCF of 1798,6154]/[LCM of 107,6943]= 2/742901
Therefore, the GCF of 1798/107,6154/6943 is 2/742901.
To find the highest common factor of 1798,6154, we have to find the factors of both numbers and list the highest common factor.
The factors of 1798 are 1, 2, 29, 31, 58, 62, 899, 1798
The factors of 6154 are 1, 2, 17, 34, 181, 362, 3077, 6154
The HCF of 1798,6154 is 2.
Lets's calculate GCF of 1798,6154
| 2 | 1798, 6154 |
| 899, 3077 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1798,6154 By Matching Biggest Common Factor Method
Now, list down the factors of 1798
:1,2,29,31,58,62,899,1798
Now, list down the factors of 6154
:1,2,17,34,181,362,3077,6154
Greatest Common Factor
We found the factors 1798,6154 . The biggest common factor number is the GCF number.
So the greatest common factor 1798,6154 is 2.
Lets's calculate LCM of 107,6943
Given numbers has no common factors except 1. So, there LCM is their product i.e 742901
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/742901
Therefore, the GCF of Fractions 1798/107,6154/6943 is 2/742901
Least Common Multiple of 107,6943 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 107,6943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,6943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,6943) x common factors =1 x 1 = 1
LCM(107,6943) = ( 107 × 6943 ) / 1
LCM(107,6943) = 742901 / 1
LCM(107,6943) = 742901
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FAQs on GCF of Fractions of 1798/107, 6154/6943
1. What is the HCF of 1798,6154?
The HCF of 1798,6154 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 1798/107, 6154/6943?
Answer: GCF of Numerators as per given numbers 1798/107, 6154/6943 is
GCF of Numerators i.e. for 1798,6154 is 2
LCM of denominators i.e. for 107,6943 is 742901.
Thus, GCF of Fractions is 2/742901.Finally, GCF of Fractions for 1798/107, 6154/6943 is 2/742901.