GCF of 1892/927, 7601/5839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1892/927, 7601/5839 i.e 11/5412753 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1892/927, 7601/5839.
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 1892/927,7601/5839?
Given fractions are 1892/927,7601/5839
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 1892/927,7601/5839, numerators are 1892,7601
Denominators are 927,5839
The GCF of 1892,7601 is 11 .
LCM of 927,5839 is 5412753.
The greatest common factor of 1892/927,7601/5839 = [GCF of 1892,7601]/[LCM of 927,5839]= 11/5412753
Therefore, the GCF of 1892/927,7601/5839 is 11/5412753.
To find the highest common factor of 1892,7601, we have to find the factors of both numbers and list the highest common factor.
The factors of 1892 are 1, 2, 4, 11, 22, 43, 44, 86, 172, 473, 946, 1892
The factors of 7601 are 1, 11, 691, 7601
The HCF of 1892,7601 is 11.
Lets's calculate GCF of 1892,7601
| 11 | 1892, 7601 |
| 172, 691 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1892,7601 By Matching Biggest Common Factor Method
Now, list down the factors of 1892
:1,2,4,11,22,43,44,86,172,473,946,1892
Now, list down the factors of 7601
:1,11,691,7601
Greatest Common Factor
We found the factors 1892,7601 . The biggest common factor number is the GCF number.
So the greatest common factor 1892,7601 is 11.
Lets's calculate LCM of 927,5839
Given numbers has no common factors except 1. So, there LCM is their product i.e 5412753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5412753
Therefore, the GCF of Fractions 1892/927,7601/5839 is 11/5412753
Least Common Multiple of 927,5839 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 927,5839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,5839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,5839) x common factors =1 x 1 = 1
LCM(927,5839) = ( 927 × 5839 ) / 1
LCM(927,5839) = 5412753 / 1
LCM(927,5839) = 5412753
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FAQs on GCF of Fractions of 1892/927, 7601/5839
1. What is the HCF of 1892,7601?
The HCF of 1892,7601 is 11
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 1892/927, 7601/5839?
Answer: GCF of Numerators as per given numbers 1892/927, 7601/5839 is
GCF of Numerators i.e. for 1892,7601 is 11
LCM of denominators i.e. for 927,5839 is 5412753.
Thus, GCF of Fractions is 11/5412753.Finally, GCF of Fractions for 1892/927, 7601/5839 is 11/5412753.