GCF of 1902/194, 5601/6597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1902/194, 5601/6597 i.e 3/1279818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1902/194, 5601/6597.
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 1902/194,5601/6597?
Given fractions are 1902/194,5601/6597
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 1902/194,5601/6597, numerators are 1902,5601
Denominators are 194,6597
The GCF of 1902,5601 is 3 .
LCM of 194,6597 is 1279818.
The greatest common factor of 1902/194,5601/6597 = [GCF of 1902,5601]/[LCM of 194,6597]= 3/1279818
Therefore, the GCF of 1902/194,5601/6597 is 3/1279818.
To find the highest common factor of 1902,5601, we have to find the factors of both numbers and list the highest common factor.
The factors of 1902 are 1, 2, 3, 6, 317, 634, 951, 1902
The factors of 5601 are 1, 3, 1867, 5601
The HCF of 1902,5601 is 3.
Lets's calculate GCF of 1902,5601
| 3 | 1902, 5601 |
| 634, 1867 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1902,5601 By Matching Biggest Common Factor Method
Now, list down the factors of 1902
:1,2,3,6,317,634,951,1902
Now, list down the factors of 5601
:1,3,1867,5601
Greatest Common Factor
We found the factors 1902,5601 . The biggest common factor number is the GCF number.
So the greatest common factor 1902,5601 is 3.
Lets's calculate LCM of 194,6597
Given numbers has no common factors except 1. So, there LCM is their product i.e 1279818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1279818
Therefore, the GCF of Fractions 1902/194,5601/6597 is 3/1279818
Least Common Multiple of 194,6597 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 194,6597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,6597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(194,6597) x common factors =1 x 1 = 1
LCM(194,6597) = ( 194 × 6597 ) / 1
LCM(194,6597) = 1279818 / 1
LCM(194,6597) = 1279818
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FAQs on GCF of Fractions of 1902/194, 5601/6597
1. What is the HCF of 1902,5601?
The HCF of 1902,5601 is 3
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 1902/194, 5601/6597?
Answer: GCF of Numerators as per given numbers 1902/194, 5601/6597 is
GCF of Numerators i.e. for 1902,5601 is 3
LCM of denominators i.e. for 194,6597 is 1279818.
Thus, GCF of Fractions is 3/1279818.Finally, GCF of Fractions for 1902/194, 5601/6597 is 3/1279818.