GCF of 5258/126, 2156/8441
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5258/126, 2156/8441 i.e 22/1063566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5258/126, 2156/8441.
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 5258/126,2156/8441?
Given fractions are 5258/126,2156/8441
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 5258/126,2156/8441, numerators are 5258,2156
Denominators are 126,8441
The GCF of 5258,2156 is 22 .
LCM of 126,8441 is 1063566.
The greatest common factor of 5258/126,2156/8441 = [GCF of 5258,2156]/[LCM of 126,8441]= 22/1063566
Therefore, the GCF of 5258/126,2156/8441 is 22/1063566.
To find the highest common factor of 5258,2156, we have to find the factors of both numbers and list the highest common factor.
The factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258
The factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156
The HCF of 5258,2156 is 22.
Lets's calculate GCF of 5258,2156
| 2 | 5258, 2156 |
| 11 | 2629, 1078 |
| 239, 98 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 5258,2156 By Matching Biggest Common Factor Method
Now, list down the factors of 5258
:1,2,11,22,239,478,2629,5258
Now, list down the factors of 2156
:1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156
Greatest Common Factor
We found the factors 5258,2156 . The biggest common factor number is the GCF number.
So the greatest common factor 5258,2156 is 22.
Lets's calculate LCM of 126,8441
Given numbers has no common factors except 1. So, there LCM is their product i.e 1063566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1063566
Therefore, the GCF of Fractions 5258/126,2156/8441 is 22/1063566
Least Common Multiple of 126,8441 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 126,8441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,8441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(126,8441) x common factors =1 x 1 = 1
LCM(126,8441) = ( 126 × 8441 ) / 1
LCM(126,8441) = 1063566 / 1
LCM(126,8441) = 1063566
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FAQs on GCF of Fractions of 5258/126, 2156/8441
1. What is the HCF of 5258,2156?
The HCF of 5258,2156 is 22
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 5258/126, 2156/8441?
Answer: GCF of Numerators as per given numbers 5258/126, 2156/8441 is
GCF of Numerators i.e. for 5258,2156 is 22
LCM of denominators i.e. for 126,8441 is 1063566.
Thus, GCF of Fractions is 22/1063566.Finally, GCF of Fractions for 5258/126, 2156/8441 is 22/1063566.