GCF of 7106/276, 8285/1532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7106/276, 8285/1532 i.e 1/105708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7106/276, 8285/1532.
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 7106/276,8285/1532?
Given fractions are 7106/276,8285/1532
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 7106/276,8285/1532, numerators are 7106,8285
Denominators are 276,1532
The GCF of 7106,8285 is 1 .
LCM of 276,1532 is 105708.
The greatest common factor of 7106/276,8285/1532 = [GCF of 7106,8285]/[LCM of 276,1532]= 1/105708
Therefore, the GCF of 7106/276,8285/1532 is 1/105708.
To find the highest common factor of 7106,8285, we have to find the factors of both numbers and list the highest common factor.
The factors of 7106 are 1, 2, 11, 17, 19, 22, 34, 38, 187, 209, 323, 374, 418, 646, 3553, 7106
The factors of 8285 are 1, 5, 1657, 8285
The HCF of 7106,8285 is 1.
Lets's calculate GCF of 7106,8285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7106,8285 By Matching Biggest Common Factor Method
Now, list down the factors of 7106
:1,2,11,17,19,22,34,38,187,209,323,374,418,646,3553,7106
Now, list down the factors of 8285
:1,5,1657,8285
Greatest Common Factor
We found the factors 7106,8285 . The biggest common factor number is the GCF number.
So the greatest common factor 7106,8285 is 1.
Lets's calculate LCM of 276,1532
| 2 | 276, 1532 |
| 2 | 138, 766 |
| 69, 383 |
∴ So the LCM of the given numbers is 2 x 2 x 69 x 383 = 105708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105708
Therefore, the GCF of Fractions 7106/276,8285/1532 is 1/105708
Least Common Multiple of 276,1532 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 276,1532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,1532) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(276,1532) x common factors =4 x 1 = 4
LCM(276,1532) = ( 276 × 1532 ) / 4
LCM(276,1532) = 422832 / 4
LCM(276,1532) = 105708
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FAQs on GCF of Fractions of 7106/276, 8285/1532
1. What is the HCF of 7106,8285?
The HCF of 7106,8285 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 7106/276, 8285/1532?
Answer: GCF of Numerators as per given numbers 7106/276, 8285/1532 is
GCF of Numerators i.e. for 7106,8285 is 1
LCM of denominators i.e. for 276,1532 is 105708.
Thus, GCF of Fractions is 1/105708.Finally, GCF of Fractions for 7106/276, 8285/1532 is 1/105708.