GCF of 8924/257, 8354/6106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8924/257, 8354/6106 i.e 2/1569242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8924/257, 8354/6106.
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 8924/257,8354/6106?
Given fractions are 8924/257,8354/6106
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 8924/257,8354/6106, numerators are 8924,8354
Denominators are 257,6106
The GCF of 8924,8354 is 2 .
LCM of 257,6106 is 1569242.
The greatest common factor of 8924/257,8354/6106 = [GCF of 8924,8354]/[LCM of 257,6106]= 2/1569242
Therefore, the GCF of 8924/257,8354/6106 is 2/1569242.
To find the highest common factor of 8924,8354, we have to find the factors of both numbers and list the highest common factor.
The factors of 8924 are 1, 2, 4, 23, 46, 92, 97, 194, 388, 2231, 4462, 8924
The factors of 8354 are 1, 2, 4177, 8354
The HCF of 8924,8354 is 2.
Lets's calculate GCF of 8924,8354
| 2 | 8924, 8354 |
| 4462, 4177 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8924,8354 By Matching Biggest Common Factor Method
Now, list down the factors of 8924
:1,2,4,23,46,92,97,194,388,2231,4462,8924
Now, list down the factors of 8354
:1,2,4177,8354
Greatest Common Factor
We found the factors 8924,8354 . The biggest common factor number is the GCF number.
So the greatest common factor 8924,8354 is 2.
Lets's calculate LCM of 257,6106
Given numbers has no common factors except 1. So, there LCM is their product i.e 1569242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1569242
Therefore, the GCF of Fractions 8924/257,8354/6106 is 2/1569242
Least Common Multiple of 257,6106 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 257,6106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,6106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,6106) x common factors =1 x 1 = 1
LCM(257,6106) = ( 257 × 6106 ) / 1
LCM(257,6106) = 1569242 / 1
LCM(257,6106) = 1569242
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FAQs on GCF of Fractions of 8924/257, 8354/6106
1. What is the HCF of 8924,8354?
The HCF of 8924,8354 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 8924/257, 8354/6106?
Answer: GCF of Numerators as per given numbers 8924/257, 8354/6106 is
GCF of Numerators i.e. for 8924,8354 is 2
LCM of denominators i.e. for 257,6106 is 1569242.
Thus, GCF of Fractions is 2/1569242.Finally, GCF of Fractions for 8924/257, 8354/6106 is 2/1569242.