GCF of 8421/103, 7398/202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8421/103, 7398/202 i.e 3/20806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8421/103, 7398/202.
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 8421/103,7398/202?
Given fractions are 8421/103,7398/202
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 8421/103,7398/202, numerators are 8421,7398
Denominators are 103,202
The GCF of 8421,7398 is 3 .
LCM of 103,202 is 20806.
The greatest common factor of 8421/103,7398/202 = [GCF of 8421,7398]/[LCM of 103,202]= 3/20806
Therefore, the GCF of 8421/103,7398/202 is 3/20806.
To find the highest common factor of 8421,7398, we have to find the factors of both numbers and list the highest common factor.
The factors of 8421 are 1, 3, 7, 21, 401, 1203, 2807, 8421
The factors of 7398 are 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398
The HCF of 8421,7398 is 3.
Lets's calculate GCF of 8421,7398
| 3 | 8421, 7398 |
| 2807, 2466 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8421,7398 By Matching Biggest Common Factor Method
Now, list down the factors of 8421
:1,3,7,21,401,1203,2807,8421
Now, list down the factors of 7398
:1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398
Greatest Common Factor
We found the factors 8421,7398 . The biggest common factor number is the GCF number.
So the greatest common factor 8421,7398 is 3.
Lets's calculate LCM of 103,202
Given numbers has no common factors except 1. So, there LCM is their product i.e 20806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20806
Therefore, the GCF of Fractions 8421/103,7398/202 is 3/20806
Least Common Multiple of 103,202 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 103,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,202) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,202) x common factors =1 x 1 = 1
LCM(103,202) = ( 103 × 202 ) / 1
LCM(103,202) = 20806 / 1
LCM(103,202) = 20806
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FAQs on GCF of Fractions of 8421/103, 7398/202
1. What is the HCF of 8421,7398?
The HCF of 8421,7398 is 3
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 8421/103, 7398/202?
Answer: GCF of Numerators as per given numbers 8421/103, 7398/202 is
GCF of Numerators i.e. for 8421,7398 is 3
LCM of denominators i.e. for 103,202 is 20806.
Thus, GCF of Fractions is 3/20806.Finally, GCF of Fractions for 8421/103, 7398/202 is 3/20806.