GCF of 5536/126, 5122/534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5536/126, 5122/534 i.e 2/11214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5536/126, 5122/534.
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 5536/126,5122/534?
Given fractions are 5536/126,5122/534
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 5536/126,5122/534, numerators are 5536,5122
Denominators are 126,534
The GCF of 5536,5122 is 2 .
LCM of 126,534 is 11214.
The greatest common factor of 5536/126,5122/534 = [GCF of 5536,5122]/[LCM of 126,534]= 2/11214
Therefore, the GCF of 5536/126,5122/534 is 2/11214.
To find the highest common factor of 5536,5122, we have to find the factors of both numbers and list the highest common factor.
The factors of 5536 are 1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536
The factors of 5122 are 1, 2, 13, 26, 197, 394, 2561, 5122
The HCF of 5536,5122 is 2.
Lets's calculate GCF of 5536,5122
| 2 | 5536, 5122 |
| 2768, 2561 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5536,5122 By Matching Biggest Common Factor Method
Now, list down the factors of 5536
:1,2,4,8,16,32,173,346,692,1384,2768,5536
Now, list down the factors of 5122
:1,2,13,26,197,394,2561,5122
Greatest Common Factor
We found the factors 5536,5122 . The biggest common factor number is the GCF number.
So the greatest common factor 5536,5122 is 2.
Lets's calculate LCM of 126,534
| 2 | 126, 534 |
| 3 | 63, 267 |
| 21, 89 |
∴ So the LCM of the given numbers is 2 x 3 x 21 x 89 = 11214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11214
Therefore, the GCF of Fractions 5536/126,5122/534 is 2/11214
Least Common Multiple of 126,534 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 126,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,534) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(126,534) x common factors =6 x 1 = 6
LCM(126,534) = ( 126 × 534 ) / 6
LCM(126,534) = 67284 / 6
LCM(126,534) = 11214
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5536/126, 5122/534
1. What is the HCF of 5536,5122?
The HCF of 5536,5122 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 5536/126, 5122/534?
Answer: GCF of Numerators as per given numbers 5536/126, 5122/534 is
GCF of Numerators i.e. for 5536,5122 is 2
LCM of denominators i.e. for 126,534 is 11214.
Thus, GCF of Fractions is 2/11214.Finally, GCF of Fractions for 5536/126, 5122/534 is 2/11214.