GCF of 7126/524, 2747/106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7126/524, 2747/106 i.e 1/27772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7126/524, 2747/106.
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 7126/524,2747/106?
Given fractions are 7126/524,2747/106
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 7126/524,2747/106, numerators are 7126,2747
Denominators are 524,106
The GCF of 7126,2747 is 1 .
LCM of 524,106 is 27772.
The greatest common factor of 7126/524,2747/106 = [GCF of 7126,2747]/[LCM of 524,106]= 1/27772
Therefore, the GCF of 7126/524,2747/106 is 1/27772.
To find the highest common factor of 7126,2747, we have to find the factors of both numbers and list the highest common factor.
The factors of 7126 are 1, 2, 7, 14, 509, 1018, 3563, 7126
The factors of 2747 are 1, 41, 67, 2747
The HCF of 7126,2747 is 1.
Lets's calculate GCF of 7126,2747
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7126,2747 By Matching Biggest Common Factor Method
Now, list down the factors of 7126
:1,2,7,14,509,1018,3563,7126
Now, list down the factors of 2747
:1,41,67,2747
Greatest Common Factor
We found the factors 7126,2747 . The biggest common factor number is the GCF number.
So the greatest common factor 7126,2747 is 1.
Lets's calculate LCM of 524,106
| 2 | 524, 106 |
| 262, 53 |
∴ So the LCM of the given numbers is 2 x 262 x 53 = 27772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27772
Therefore, the GCF of Fractions 7126/524,2747/106 is 1/27772
Least Common Multiple of 524,106 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 524,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(524,106) x common factors =2 x 1 = 2
LCM(524,106) = ( 524 × 106 ) / 2
LCM(524,106) = 55544 / 2
LCM(524,106) = 27772
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FAQs on GCF of Fractions of 7126/524, 2747/106
1. What is the HCF of 7126,2747?
The HCF of 7126,2747 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 7126/524, 2747/106?
Answer: GCF of Numerators as per given numbers 7126/524, 2747/106 is
GCF of Numerators i.e. for 7126,2747 is 1
LCM of denominators i.e. for 524,106 is 27772.
Thus, GCF of Fractions is 1/27772.Finally, GCF of Fractions for 7126/524, 2747/106 is 1/27772.