GCF of 7398/213, 7658/6855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7398/213, 7658/6855 i.e 2/486705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7398/213, 7658/6855.
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 7398/213,7658/6855?
Given fractions are 7398/213,7658/6855
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 7398/213,7658/6855, numerators are 7398,7658
Denominators are 213,6855
The GCF of 7398,7658 is 2 .
LCM of 213,6855 is 486705.
The greatest common factor of 7398/213,7658/6855 = [GCF of 7398,7658]/[LCM of 213,6855]= 2/486705
Therefore, the GCF of 7398/213,7658/6855 is 2/486705.
To find the highest common factor of 7398,7658, we have to find the factors of both numbers and list the highest common factor.
The factors of 7398 are 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398
The factors of 7658 are 1, 2, 7, 14, 547, 1094, 3829, 7658
The HCF of 7398,7658 is 2.
Lets's calculate GCF of 7398,7658
| 2 | 7398, 7658 |
| 3699, 3829 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7398,7658 By Matching Biggest Common Factor Method
Now, list down the factors of 7398
:1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398
Now, list down the factors of 7658
:1,2,7,14,547,1094,3829,7658
Greatest Common Factor
We found the factors 7398,7658 . The biggest common factor number is the GCF number.
So the greatest common factor 7398,7658 is 2.
Lets's calculate LCM of 213,6855
| 3 | 213, 6855 |
| 71, 2285 |
∴ So the LCM of the given numbers is 3 x 71 x 2285 = 486705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/486705
Therefore, the GCF of Fractions 7398/213,7658/6855 is 2/486705
Least Common Multiple of 213,6855 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 213,6855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,6855) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,6855) x common factors =3 x 1 = 3
LCM(213,6855) = ( 213 × 6855 ) / 3
LCM(213,6855) = 1460115 / 3
LCM(213,6855) = 486705
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FAQs on GCF of Fractions of 7398/213, 7658/6855
1. What is the HCF of 7398,7658?
The HCF of 7398,7658 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 7398/213, 7658/6855?
Answer: GCF of Numerators as per given numbers 7398/213, 7658/6855 is
GCF of Numerators i.e. for 7398,7658 is 2
LCM of denominators i.e. for 213,6855 is 486705.
Thus, GCF of Fractions is 2/486705.Finally, GCF of Fractions for 7398/213, 7658/6855 is 2/486705.