GCF of 5495/997, 8982/4286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5495/997, 8982/4286 i.e 1/4273142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5495/997, 8982/4286.
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 5495/997,8982/4286?
Given fractions are 5495/997,8982/4286
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 5495/997,8982/4286, numerators are 5495,8982
Denominators are 997,4286
The GCF of 5495,8982 is 1 .
LCM of 997,4286 is 4273142.
The greatest common factor of 5495/997,8982/4286 = [GCF of 5495,8982]/[LCM of 997,4286]= 1/4273142
Therefore, the GCF of 5495/997,8982/4286 is 1/4273142.
To find the highest common factor of 5495,8982, we have to find the factors of both numbers and list the highest common factor.
The factors of 5495 are 1, 5, 7, 35, 157, 785, 1099, 5495
The factors of 8982 are 1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491, 8982
The HCF of 5495,8982 is 1.
Lets's calculate GCF of 5495,8982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5495,8982 By Matching Biggest Common Factor Method
Now, list down the factors of 5495
:1,5,7,35,157,785,1099,5495
Now, list down the factors of 8982
:1,2,3,6,9,18,499,998,1497,2994,4491,8982
Greatest Common Factor
We found the factors 5495,8982 . The biggest common factor number is the GCF number.
So the greatest common factor 5495,8982 is 1.
Lets's calculate LCM of 997,4286
Given numbers has no common factors except 1. So, there LCM is their product i.e 4273142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4273142
Therefore, the GCF of Fractions 5495/997,8982/4286 is 1/4273142
Least Common Multiple of 997,4286 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 997,4286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,4286) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,4286) x common factors =1 x 1 = 1
LCM(997,4286) = ( 997 × 4286 ) / 1
LCM(997,4286) = 4273142 / 1
LCM(997,4286) = 4273142
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FAQs on GCF of Fractions of 5495/997, 8982/4286
1. What is the HCF of 5495,8982?
The HCF of 5495,8982 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 5495/997, 8982/4286?
Answer: GCF of Numerators as per given numbers 5495/997, 8982/4286 is
GCF of Numerators i.e. for 5495,8982 is 1
LCM of denominators i.e. for 997,4286 is 4273142.
Thus, GCF of Fractions is 1/4273142.Finally, GCF of Fractions for 5495/997, 8982/4286 is 1/4273142.