GCF of 8158/697, 3424/5759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8158/697, 3424/5759 i.e 2/4014023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8158/697, 3424/5759.
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 8158/697,3424/5759?
Given fractions are 8158/697,3424/5759
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 8158/697,3424/5759, numerators are 8158,3424
Denominators are 697,5759
The GCF of 8158,3424 is 2 .
LCM of 697,5759 is 4014023.
The greatest common factor of 8158/697,3424/5759 = [GCF of 8158,3424]/[LCM of 697,5759]= 2/4014023
Therefore, the GCF of 8158/697,3424/5759 is 2/4014023.
To find the highest common factor of 8158,3424, we have to find the factors of both numbers and list the highest common factor.
The factors of 8158 are 1, 2, 4079, 8158
The factors of 3424 are 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424
The HCF of 8158,3424 is 2.
Lets's calculate GCF of 8158,3424
| 2 | 8158, 3424 |
| 4079, 1712 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8158,3424 By Matching Biggest Common Factor Method
Now, list down the factors of 8158
:1,2,4079,8158
Now, list down the factors of 3424
:1,2,4,8,16,32,107,214,428,856,1712,3424
Greatest Common Factor
We found the factors 8158,3424 . The biggest common factor number is the GCF number.
So the greatest common factor 8158,3424 is 2.
Lets's calculate LCM of 697,5759
Given numbers has no common factors except 1. So, there LCM is their product i.e 4014023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4014023
Therefore, the GCF of Fractions 8158/697,3424/5759 is 2/4014023
Least Common Multiple of 697,5759 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 697,5759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,5759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,5759) x common factors =1 x 1 = 1
LCM(697,5759) = ( 697 × 5759 ) / 1
LCM(697,5759) = 4014023 / 1
LCM(697,5759) = 4014023
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FAQs on GCF of Fractions of 8158/697, 3424/5759
1. What is the HCF of 8158,3424?
The HCF of 8158,3424 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 8158/697, 3424/5759?
Answer: GCF of Numerators as per given numbers 8158/697, 3424/5759 is
GCF of Numerators i.e. for 8158,3424 is 2
LCM of denominators i.e. for 697,5759 is 4014023.
Thus, GCF of Fractions is 2/4014023.Finally, GCF of Fractions for 8158/697, 3424/5759 is 2/4014023.