GCF of 6969/808, 9498/5632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6969/808, 9498/5632 i.e 3/568832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6969/808, 9498/5632.
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 6969/808,9498/5632?
Given fractions are 6969/808,9498/5632
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 6969/808,9498/5632, numerators are 6969,9498
Denominators are 808,5632
The GCF of 6969,9498 is 3 .
LCM of 808,5632 is 568832.
The greatest common factor of 6969/808,9498/5632 = [GCF of 6969,9498]/[LCM of 808,5632]= 3/568832
Therefore, the GCF of 6969/808,9498/5632 is 3/568832.
To find the highest common factor of 6969,9498, we have to find the factors of both numbers and list the highest common factor.
The factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969
The factors of 9498 are 1, 2, 3, 6, 1583, 3166, 4749, 9498
The HCF of 6969,9498 is 3.
Lets's calculate GCF of 6969,9498
| 3 | 6969, 9498 |
| 2323, 3166 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6969,9498 By Matching Biggest Common Factor Method
Now, list down the factors of 6969
:1,3,23,69,101,303,2323,6969
Now, list down the factors of 9498
:1,2,3,6,1583,3166,4749,9498
Greatest Common Factor
We found the factors 6969,9498 . The biggest common factor number is the GCF number.
So the greatest common factor 6969,9498 is 3.
Lets's calculate LCM of 808,5632
| 2 | 808, 5632 |
| 2 | 404, 2816 |
| 2 | 202, 1408 |
| 101, 704 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 101 x 704 = 568832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/568832
Therefore, the GCF of Fractions 6969/808,9498/5632 is 3/568832
Least Common Multiple of 808,5632 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 808,5632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,5632) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(808,5632) x common factors =8 x 1 = 8
LCM(808,5632) = ( 808 × 5632 ) / 8
LCM(808,5632) = 4550656 / 8
LCM(808,5632) = 568832
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FAQs on GCF of Fractions of 6969/808, 9498/5632
1. What is the HCF of 6969,9498?
The HCF of 6969,9498 is 3
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 6969/808, 9498/5632?
Answer: GCF of Numerators as per given numbers 6969/808, 9498/5632 is
GCF of Numerators i.e. for 6969,9498 is 3
LCM of denominators i.e. for 808,5632 is 568832.
Thus, GCF of Fractions is 3/568832.Finally, GCF of Fractions for 6969/808, 9498/5632 is 3/568832.