GCF of 8408/770, 5530/684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8408/770, 5530/684 i.e 2/263340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8408/770, 5530/684.
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 8408/770,5530/684?
Given fractions are 8408/770,5530/684
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 8408/770,5530/684, numerators are 8408,5530
Denominators are 770,684
The GCF of 8408,5530 is 2 .
LCM of 770,684 is 263340.
The greatest common factor of 8408/770,5530/684 = [GCF of 8408,5530]/[LCM of 770,684]= 2/263340
Therefore, the GCF of 8408/770,5530/684 is 2/263340.
To find the highest common factor of 8408,5530, we have to find the factors of both numbers and list the highest common factor.
The factors of 8408 are 1, 2, 4, 8, 1051, 2102, 4204, 8408
The factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530
The HCF of 8408,5530 is 2.
Lets's calculate GCF of 8408,5530
| 2 | 8408, 5530 |
| 4204, 2765 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8408,5530 By Matching Biggest Common Factor Method
Now, list down the factors of 8408
:1,2,4,8,1051,2102,4204,8408
Now, list down the factors of 5530
:1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530
Greatest Common Factor
We found the factors 8408,5530 . The biggest common factor number is the GCF number.
So the greatest common factor 8408,5530 is 2.
Lets's calculate LCM of 770,684
| 2 | 770, 684 |
| 385, 342 |
∴ So the LCM of the given numbers is 2 x 385 x 342 = 263340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/263340
Therefore, the GCF of Fractions 8408/770,5530/684 is 2/263340
Least Common Multiple of 770,684 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 770,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(770,684) x common factors =2 x 1 = 2
LCM(770,684) = ( 770 × 684 ) / 2
LCM(770,684) = 526680 / 2
LCM(770,684) = 263340
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FAQs on GCF of Fractions of 8408/770, 5530/684
1. What is the HCF of 8408,5530?
The HCF of 8408,5530 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 8408/770, 5530/684?
Answer: GCF of Numerators as per given numbers 8408/770, 5530/684 is
GCF of Numerators i.e. for 8408,5530 is 2
LCM of denominators i.e. for 770,684 is 263340.
Thus, GCF of Fractions is 2/263340.Finally, GCF of Fractions for 8408/770, 5530/684 is 2/263340.