GCF of 3519/686, 7398/872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3519/686, 7398/872 i.e 9/299096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3519/686, 7398/872.
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 3519/686,7398/872?
Given fractions are 3519/686,7398/872
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 3519/686,7398/872, numerators are 3519,7398
Denominators are 686,872
The GCF of 3519,7398 is 9 .
LCM of 686,872 is 299096.
The greatest common factor of 3519/686,7398/872 = [GCF of 3519,7398]/[LCM of 686,872]= 9/299096
Therefore, the GCF of 3519/686,7398/872 is 9/299096.
To find the highest common factor of 3519,7398, we have to find the factors of both numbers and list the highest common factor.
The factors of 3519 are 1, 3, 9, 17, 23, 51, 69, 153, 207, 391, 1173, 3519
The factors of 7398 are 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398
The HCF of 3519,7398 is 9.
Lets's calculate GCF of 3519,7398
| 3 | 3519, 7398 |
| 3 | 1173, 2466 |
| 391, 822 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3519,7398 By Matching Biggest Common Factor Method
Now, list down the factors of 3519
:1,3,9,17,23,51,69,153,207,391,1173,3519
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 3519,7398 . The biggest common factor number is the GCF number.
So the greatest common factor 3519,7398 is 9.
Lets's calculate LCM of 686,872
| 2 | 686, 872 |
| 343, 436 |
∴ So the LCM of the given numbers is 2 x 343 x 436 = 299096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/299096
Therefore, the GCF of Fractions 3519/686,7398/872 is 9/299096
Least Common Multiple of 686,872 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 686,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,872) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,872) x common factors =2 x 1 = 2
LCM(686,872) = ( 686 × 872 ) / 2
LCM(686,872) = 598192 / 2
LCM(686,872) = 299096
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FAQs on GCF of Fractions of 3519/686, 7398/872
1. What is the HCF of 3519,7398?
The HCF of 3519,7398 is 9
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 3519/686, 7398/872?
Answer: GCF of Numerators as per given numbers 3519/686, 7398/872 is
GCF of Numerators i.e. for 3519,7398 is 9
LCM of denominators i.e. for 686,872 is 299096.
Thus, GCF of Fractions is 9/299096.Finally, GCF of Fractions for 3519/686, 7398/872 is 9/299096.