GCF of 7381/362, 6881/555
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7381/362, 6881/555 i.e 1/200910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7381/362, 6881/555.
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 7381/362,6881/555?
Given fractions are 7381/362,6881/555
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 7381/362,6881/555, numerators are 7381,6881
Denominators are 362,555
The GCF of 7381,6881 is 1 .
LCM of 362,555 is 200910.
The greatest common factor of 7381/362,6881/555 = [GCF of 7381,6881]/[LCM of 362,555]= 1/200910
Therefore, the GCF of 7381/362,6881/555 is 1/200910.
To find the highest common factor of 7381,6881, we have to find the factors of both numbers and list the highest common factor.
The factors of 7381 are 1, 11, 61, 121, 671, 7381
The factors of 6881 are 1, 7, 983, 6881
The HCF of 7381,6881 is 1.
Lets's calculate GCF of 7381,6881
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7381,6881 By Matching Biggest Common Factor Method
Now, list down the factors of 7381
:1,11,61,121,671,7381
Now, list down the factors of 6881
:1,7,983,6881
Greatest Common Factor
We found the factors 7381,6881 . The biggest common factor number is the GCF number.
So the greatest common factor 7381,6881 is 1.
Lets's calculate LCM of 362,555
Given numbers has no common factors except 1. So, there LCM is their product i.e 200910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200910
Therefore, the GCF of Fractions 7381/362,6881/555 is 1/200910
Least Common Multiple of 362,555 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 362,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,555) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,555) x common factors =1 x 1 = 1
LCM(362,555) = ( 362 × 555 ) / 1
LCM(362,555) = 200910 / 1
LCM(362,555) = 200910
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FAQs on GCF of Fractions of 7381/362, 6881/555
1. What is the HCF of 7381,6881?
The HCF of 7381,6881 is 1
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 7381/362, 6881/555?
Answer: GCF of Numerators as per given numbers 7381/362, 6881/555 is
GCF of Numerators i.e. for 7381,6881 is 1
LCM of denominators i.e. for 362,555 is 200910.
Thus, GCF of Fractions is 1/200910.Finally, GCF of Fractions for 7381/362, 6881/555 is 1/200910.