GCF of 1306/670, 8616/5924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1306/670, 8616/5924 i.e 2/1984540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1306/670, 8616/5924.
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 1306/670,8616/5924?
Given fractions are 1306/670,8616/5924
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 1306/670,8616/5924, numerators are 1306,8616
Denominators are 670,5924
The GCF of 1306,8616 is 2 .
LCM of 670,5924 is 1984540.
The greatest common factor of 1306/670,8616/5924 = [GCF of 1306,8616]/[LCM of 670,5924]= 2/1984540
Therefore, the GCF of 1306/670,8616/5924 is 2/1984540.
To find the highest common factor of 1306,8616, we have to find the factors of both numbers and list the highest common factor.
The factors of 1306 are 1, 2, 653, 1306
The factors of 8616 are 1, 2, 3, 4, 6, 8, 12, 24, 359, 718, 1077, 1436, 2154, 2872, 4308, 8616
The HCF of 1306,8616 is 2.
Lets's calculate GCF of 1306,8616
| 2 | 1306, 8616 |
| 653, 4308 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1306,8616 By Matching Biggest Common Factor Method
Now, list down the factors of 1306
:1,2,653,1306
Now, list down the factors of 8616
:1,2,3,4,6,8,12,24,359,718,1077,1436,2154,2872,4308,8616
Greatest Common Factor
We found the factors 1306,8616 . The biggest common factor number is the GCF number.
So the greatest common factor 1306,8616 is 2.
Lets's calculate LCM of 670,5924
| 2 | 670, 5924 |
| 335, 2962 |
∴ So the LCM of the given numbers is 2 x 335 x 2962 = 1984540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1984540
Therefore, the GCF of Fractions 1306/670,8616/5924 is 2/1984540
Least Common Multiple of 670,5924 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 670,5924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,5924) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,5924) x common factors =2 x 1 = 2
LCM(670,5924) = ( 670 × 5924 ) / 2
LCM(670,5924) = 3969080 / 2
LCM(670,5924) = 1984540
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FAQs on GCF of Fractions of 1306/670, 8616/5924
1. What is the HCF of 1306,8616?
The HCF of 1306,8616 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 1306/670, 8616/5924?
Answer: GCF of Numerators as per given numbers 1306/670, 8616/5924 is
GCF of Numerators i.e. for 1306,8616 is 2
LCM of denominators i.e. for 670,5924 is 1984540.
Thus, GCF of Fractions is 2/1984540.Finally, GCF of Fractions for 1306/670, 8616/5924 is 2/1984540.