GCF of 7209/334, 3208/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7209/334, 3208/410 i.e 1/68470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7209/334, 3208/410.
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 7209/334,3208/410?
Given fractions are 7209/334,3208/410
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 7209/334,3208/410, numerators are 7209,3208
Denominators are 334,410
The GCF of 7209,3208 is 1 .
LCM of 334,410 is 68470.
The greatest common factor of 7209/334,3208/410 = [GCF of 7209,3208]/[LCM of 334,410]= 1/68470
Therefore, the GCF of 7209/334,3208/410 is 1/68470.
To find the highest common factor of 7209,3208, we have to find the factors of both numbers and list the highest common factor.
The factors of 7209 are 1, 3, 9, 27, 81, 89, 267, 801, 2403, 7209
The factors of 3208 are 1, 2, 4, 8, 401, 802, 1604, 3208
The HCF of 7209,3208 is 1.
Lets's calculate GCF of 7209,3208
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7209,3208 By Matching Biggest Common Factor Method
Now, list down the factors of 7209
:1,3,9,27,81,89,267,801,2403,7209
Now, list down the factors of 3208
:1,2,4,8,401,802,1604,3208
Greatest Common Factor
We found the factors 7209,3208 . The biggest common factor number is the GCF number.
So the greatest common factor 7209,3208 is 1.
Lets's calculate LCM of 334,410
| 2 | 334, 410 |
| 167, 205 |
∴ So the LCM of the given numbers is 2 x 167 x 205 = 68470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68470
Therefore, the GCF of Fractions 7209/334,3208/410 is 1/68470
Least Common Multiple of 334,410 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 334,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,410) x common factors =2 x 1 = 2
LCM(334,410) = ( 334 × 410 ) / 2
LCM(334,410) = 136940 / 2
LCM(334,410) = 68470
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FAQs on GCF of Fractions of 7209/334, 3208/410
1. What is the HCF of 7209,3208?
The HCF of 7209,3208 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 7209/334, 3208/410?
Answer: GCF of Numerators as per given numbers 7209/334, 3208/410 is
GCF of Numerators i.e. for 7209,3208 is 1
LCM of denominators i.e. for 334,410 is 68470.
Thus, GCF of Fractions is 1/68470.Finally, GCF of Fractions for 7209/334, 3208/410 is 1/68470.