GCF of 5423/814, 7808/8410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5423/814, 7808/8410 i.e 1/3422870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5423/814, 7808/8410.
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 5423/814,7808/8410?
Given fractions are 5423/814,7808/8410
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 5423/814,7808/8410, numerators are 5423,7808
Denominators are 814,8410
The GCF of 5423,7808 is 1 .
LCM of 814,8410 is 3422870.
The greatest common factor of 5423/814,7808/8410 = [GCF of 5423,7808]/[LCM of 814,8410]= 1/3422870
Therefore, the GCF of 5423/814,7808/8410 is 1/3422870.
To find the highest common factor of 5423,7808, we have to find the factors of both numbers and list the highest common factor.
The factors of 5423 are 1, 11, 17, 29, 187, 319, 493, 5423
The factors of 7808 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808
The HCF of 5423,7808 is 1.
Lets's calculate GCF of 5423,7808
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5423,7808 By Matching Biggest Common Factor Method
Now, list down the factors of 5423
:1,11,17,29,187,319,493,5423
Now, list down the factors of 7808
:1,2,4,8,16,32,61,64,122,128,244,488,976,1952,3904,7808
Greatest Common Factor
We found the factors 5423,7808 . The biggest common factor number is the GCF number.
So the greatest common factor 5423,7808 is 1.
Lets's calculate LCM of 814,8410
| 2 | 814, 8410 |
| 407, 4205 |
∴ So the LCM of the given numbers is 2 x 407 x 4205 = 3422870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3422870
Therefore, the GCF of Fractions 5423/814,7808/8410 is 1/3422870
Least Common Multiple of 814,8410 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 814,8410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,8410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,8410) x common factors =2 x 1 = 2
LCM(814,8410) = ( 814 × 8410 ) / 2
LCM(814,8410) = 6845740 / 2
LCM(814,8410) = 3422870
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FAQs on GCF of Fractions of 5423/814, 7808/8410
1. What is the HCF of 5423,7808?
The HCF of 5423,7808 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 5423/814, 7808/8410?
Answer: GCF of Numerators as per given numbers 5423/814, 7808/8410 is
GCF of Numerators i.e. for 5423,7808 is 1
LCM of denominators i.e. for 814,8410 is 3422870.
Thus, GCF of Fractions is 1/3422870.Finally, GCF of Fractions for 5423/814, 7808/8410 is 1/3422870.