GCF of 8198/417, 7972/265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8198/417, 7972/265 i.e 2/110505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8198/417, 7972/265.
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 8198/417,7972/265?
Given fractions are 8198/417,7972/265
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 8198/417,7972/265, numerators are 8198,7972
Denominators are 417,265
The GCF of 8198,7972 is 2 .
LCM of 417,265 is 110505.
The greatest common factor of 8198/417,7972/265 = [GCF of 8198,7972]/[LCM of 417,265]= 2/110505
Therefore, the GCF of 8198/417,7972/265 is 2/110505.
To find the highest common factor of 8198,7972, we have to find the factors of both numbers and list the highest common factor.
The factors of 8198 are 1, 2, 4099, 8198
The factors of 7972 are 1, 2, 4, 1993, 3986, 7972
The HCF of 8198,7972 is 2.
Lets's calculate GCF of 8198,7972
| 2 | 8198, 7972 |
| 4099, 3986 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8198,7972 By Matching Biggest Common Factor Method
Now, list down the factors of 8198
:1,2,4099,8198
Now, list down the factors of 7972
:1,2,4,1993,3986,7972
Greatest Common Factor
We found the factors 8198,7972 . The biggest common factor number is the GCF number.
So the greatest common factor 8198,7972 is 2.
Lets's calculate LCM of 417,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 110505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110505
Therefore, the GCF of Fractions 8198/417,7972/265 is 2/110505
Least Common Multiple of 417,265 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 417,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,265) x common factors =1 x 1 = 1
LCM(417,265) = ( 417 × 265 ) / 1
LCM(417,265) = 110505 / 1
LCM(417,265) = 110505
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FAQs on GCF of Fractions of 8198/417, 7972/265
1. What is the HCF of 8198,7972?
The HCF of 8198,7972 is 2
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 8198/417, 7972/265?
Answer: GCF of Numerators as per given numbers 8198/417, 7972/265 is
GCF of Numerators i.e. for 8198,7972 is 2
LCM of denominators i.e. for 417,265 is 110505.
Thus, GCF of Fractions is 2/110505.Finally, GCF of Fractions for 8198/417, 7972/265 is 2/110505.