GCF of 3453/300, 7198/6969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3453/300, 7198/6969 i.e 1/696900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3453/300, 7198/6969.
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 3453/300,7198/6969?
Given fractions are 3453/300,7198/6969
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 3453/300,7198/6969, numerators are 3453,7198
Denominators are 300,6969
The GCF of 3453,7198 is 1 .
LCM of 300,6969 is 696900.
The greatest common factor of 3453/300,7198/6969 = [GCF of 3453,7198]/[LCM of 300,6969]= 1/696900
Therefore, the GCF of 3453/300,7198/6969 is 1/696900.
To find the highest common factor of 3453,7198, we have to find the factors of both numbers and list the highest common factor.
The factors of 3453 are 1, 3, 1151, 3453
The factors of 7198 are 1, 2, 59, 61, 118, 122, 3599, 7198
The HCF of 3453,7198 is 1.
Lets's calculate GCF of 3453,7198
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3453,7198 By Matching Biggest Common Factor Method
Now, list down the factors of 3453
:1,3,1151,3453
Now, list down the factors of 7198
:1,2,59,61,118,122,3599,7198
Greatest Common Factor
We found the factors 3453,7198 . The biggest common factor number is the GCF number.
So the greatest common factor 3453,7198 is 1.
Lets's calculate LCM of 300,6969
| 3 | 300, 6969 |
| 100, 2323 |
∴ So the LCM of the given numbers is 3 x 100 x 2323 = 696900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/696900
Therefore, the GCF of Fractions 3453/300,7198/6969 is 1/696900
Least Common Multiple of 300,6969 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 300,6969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,6969) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(300,6969) x common factors =3 x 1 = 3
LCM(300,6969) = ( 300 × 6969 ) / 3
LCM(300,6969) = 2090700 / 3
LCM(300,6969) = 696900
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FAQs on GCF of Fractions of 3453/300, 7198/6969
1. What is the HCF of 3453,7198?
The HCF of 3453,7198 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 3453/300, 7198/6969?
Answer: GCF of Numerators as per given numbers 3453/300, 7198/6969 is
GCF of Numerators i.e. for 3453,7198 is 1
LCM of denominators i.e. for 300,6969 is 696900.
Thus, GCF of Fractions is 1/696900.Finally, GCF of Fractions for 3453/300, 7198/6969 is 1/696900.