GCF of 8322/997, 7258/3074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8322/997, 7258/3074 i.e 38/3064778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8322/997, 7258/3074.
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 8322/997,7258/3074?
Given fractions are 8322/997,7258/3074
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 8322/997,7258/3074, numerators are 8322,7258
Denominators are 997,3074
The GCF of 8322,7258 is 38 .
LCM of 997,3074 is 3064778.
The greatest common factor of 8322/997,7258/3074 = [GCF of 8322,7258]/[LCM of 997,3074]= 38/3064778
Therefore, the GCF of 8322/997,7258/3074 is 38/3064778.
To find the highest common factor of 8322,7258, we have to find the factors of both numbers and list the highest common factor.
The factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322
The factors of 7258 are 1, 2, 19, 38, 191, 382, 3629, 7258
The HCF of 8322,7258 is 38.
Lets's calculate GCF of 8322,7258
| 2 | 8322, 7258 |
| 19 | 4161, 3629 |
| 219, 191 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 8322,7258 By Matching Biggest Common Factor Method
Now, list down the factors of 8322
:1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322
Now, list down the factors of 7258
:1,2,19,38,191,382,3629,7258
Greatest Common Factor
We found the factors 8322,7258 . The biggest common factor number is the GCF number.
So the greatest common factor 8322,7258 is 38.
Lets's calculate LCM of 997,3074
Given numbers has no common factors except 1. So, there LCM is their product i.e 3064778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/3064778
Therefore, the GCF of Fractions 8322/997,7258/3074 is 38/3064778
Least Common Multiple of 997,3074 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 997,3074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,3074) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,3074) x common factors =1 x 1 = 1
LCM(997,3074) = ( 997 × 3074 ) / 1
LCM(997,3074) = 3064778 / 1
LCM(997,3074) = 3064778
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FAQs on GCF of Fractions of 8322/997, 7258/3074
1. What is the HCF of 8322,7258?
The HCF of 8322,7258 is 38
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 8322/997, 7258/3074?
Answer: GCF of Numerators as per given numbers 8322/997, 7258/3074 is
GCF of Numerators i.e. for 8322,7258 is 38
LCM of denominators i.e. for 997,3074 is 3064778.
Thus, GCF of Fractions is 38/3064778.Finally, GCF of Fractions for 8322/997, 7258/3074 is 38/3064778.