GCF of 7302/207, 8354/6974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7302/207, 8354/6974 i.e 2/1443618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7302/207, 8354/6974.
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 7302/207,8354/6974?
Given fractions are 7302/207,8354/6974
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 7302/207,8354/6974, numerators are 7302,8354
Denominators are 207,6974
The GCF of 7302,8354 is 2 .
LCM of 207,6974 is 1443618.
The greatest common factor of 7302/207,8354/6974 = [GCF of 7302,8354]/[LCM of 207,6974]= 2/1443618
Therefore, the GCF of 7302/207,8354/6974 is 2/1443618.
To find the highest common factor of 7302,8354, we have to find the factors of both numbers and list the highest common factor.
The factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302
The factors of 8354 are 1, 2, 4177, 8354
The HCF of 7302,8354 is 2.
Lets's calculate GCF of 7302,8354
| 2 | 7302, 8354 |
| 3651, 4177 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7302,8354 By Matching Biggest Common Factor Method
Now, list down the factors of 7302
:1,2,3,6,1217,2434,3651,7302
Now, list down the factors of 8354
:1,2,4177,8354
Greatest Common Factor
We found the factors 7302,8354 . The biggest common factor number is the GCF number.
So the greatest common factor 7302,8354 is 2.
Lets's calculate LCM of 207,6974
Given numbers has no common factors except 1. So, there LCM is their product i.e 1443618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1443618
Therefore, the GCF of Fractions 7302/207,8354/6974 is 2/1443618
Least Common Multiple of 207,6974 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 207,6974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,6974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,6974) x common factors =1 x 1 = 1
LCM(207,6974) = ( 207 × 6974 ) / 1
LCM(207,6974) = 1443618 / 1
LCM(207,6974) = 1443618
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FAQs on GCF of Fractions of 7302/207, 8354/6974
1. What is the HCF of 7302,8354?
The HCF of 7302,8354 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 7302/207, 8354/6974?
Answer: GCF of Numerators as per given numbers 7302/207, 8354/6974 is
GCF of Numerators i.e. for 7302,8354 is 2
LCM of denominators i.e. for 207,6974 is 1443618.
Thus, GCF of Fractions is 2/1443618.Finally, GCF of Fractions for 7302/207, 8354/6974 is 2/1443618.