GCF of 318/960, 834/768, 613/626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 318/960, 834/768, 613/626 i.e 1/1201920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 318/960, 834/768, 613/626.
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 318/960,834/768,613/626?
Given fractions are 318/960,834/768,613/626
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 318/960,834/768,613/626, numerators are 318,834,613
Denominators are 960,768,626
The GCF of 318,834,613 is 1 .
LCM of 960,768,626 is 1201920.
The greatest common factor of 318/960,834/768,613/626 = [GCF of 318,834,613]/[LCM of 960,768,626]= 1/1201920
Therefore, the GCF of 318/960,834/768,613/626 is 1/1201920.
To find the highest common factor of 318,834,613, we have to find the factors of both numbers and list the highest common factor.
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834
The factors of 613 are 1, 613
The HCF of 318,834,613 is 1.
Lets's calculate GCF of 318,834,613
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 318,834,613 By Matching Biggest Common Factor Method
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Now, list down the factors of 834
:1,2,3,6,139,278,417,834
Now, list down the factors of 613
:1,613
Greatest Common Factor
We found the factors 318,834,613 . The biggest common factor number is the GCF number.
So the greatest common factor 318,834,613 is 1.
Lets's calculate LCM of 960,768,626
| 2 | 960, 768, 626 |
| 2 | 480, 384, 313 |
| 2 | 240, 192, 313 |
| 2 | 120, 96, 313 |
| 2 | 60, 48, 313 |
| 2 | 30, 24, 313 |
| 3 | 15, 12, 313 |
| 5, 4, 313 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 4 x 313 = 1201920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1201920
Therefore, the GCF of Fractions 318/960,834/768,613/626 is 1/1201920
Least Common Multiple of 960,768,626 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 960,768,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,768,626) = 2
common factors(in case of two or more numbers have common factors) = 192
GCF(960,768,626) x common factors =2 x 192 = 384
LCM(960,768,626) = ( 960 × 768 × 626 ) / 384
LCM(960,768,626) = 461537280 / 384
LCM(960,768,626) = 1201920
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FAQs on GCF of Fractions of 318/960, 834/768, 613/626
1. What is the HCF of 318,834,613?
The HCF of 318,834,613 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 318/960, 834/768, 613/626?
Answer: GCF of Numerators as per given numbers 318/960, 834/768, 613/626 is
GCF of Numerators i.e. for 318,834,613 is 1
LCM of denominators i.e. for 960,768,626 is 1201920.
Thus, GCF of Fractions is 1/1201920.Finally, GCF of Fractions for 318/960, 834/768, 613/626 is 1/1201920.