GCF of 8798/814, 7141/197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8798/814, 7141/197 i.e 1/160358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8798/814, 7141/197.
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 8798/814,7141/197?
Given fractions are 8798/814,7141/197
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 8798/814,7141/197, numerators are 8798,7141
Denominators are 814,197
The GCF of 8798,7141 is 1 .
LCM of 814,197 is 160358.
The greatest common factor of 8798/814,7141/197 = [GCF of 8798,7141]/[LCM of 814,197]= 1/160358
Therefore, the GCF of 8798/814,7141/197 is 1/160358.
To find the highest common factor of 8798,7141, we have to find the factors of both numbers and list the highest common factor.
The factors of 8798 are 1, 2, 53, 83, 106, 166, 4399, 8798
The factors of 7141 are 1, 37, 193, 7141
The HCF of 8798,7141 is 1.
Lets's calculate GCF of 8798,7141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8798,7141 By Matching Biggest Common Factor Method
Now, list down the factors of 8798
:1,2,53,83,106,166,4399,8798
Now, list down the factors of 7141
:1,37,193,7141
Greatest Common Factor
We found the factors 8798,7141 . The biggest common factor number is the GCF number.
So the greatest common factor 8798,7141 is 1.
Lets's calculate LCM of 814,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 160358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160358
Therefore, the GCF of Fractions 8798/814,7141/197 is 1/160358
Least Common Multiple of 814,197 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 814,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,197) x common factors =1 x 1 = 1
LCM(814,197) = ( 814 × 197 ) / 1
LCM(814,197) = 160358 / 1
LCM(814,197) = 160358
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FAQs on GCF of Fractions of 8798/814, 7141/197
1. What is the HCF of 8798,7141?
The HCF of 8798,7141 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 8798/814, 7141/197?
Answer: GCF of Numerators as per given numbers 8798/814, 7141/197 is
GCF of Numerators i.e. for 8798,7141 is 1
LCM of denominators i.e. for 814,197 is 160358.
Thus, GCF of Fractions is 1/160358.Finally, GCF of Fractions for 8798/814, 7141/197 is 1/160358.