GCF of 3726/951, 7276/5460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3726/951, 7276/5460 i.e 2/1730820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3726/951, 7276/5460.
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 3726/951,7276/5460?
Given fractions are 3726/951,7276/5460
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 3726/951,7276/5460, numerators are 3726,7276
Denominators are 951,5460
The GCF of 3726,7276 is 2 .
LCM of 951,5460 is 1730820.
The greatest common factor of 3726/951,7276/5460 = [GCF of 3726,7276]/[LCM of 951,5460]= 2/1730820
Therefore, the GCF of 3726/951,7276/5460 is 2/1730820.
To find the highest common factor of 3726,7276, we have to find the factors of both numbers and list the highest common factor.
The factors of 3726 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726
The factors of 7276 are 1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276
The HCF of 3726,7276 is 2.
Lets's calculate GCF of 3726,7276
| 2 | 3726, 7276 |
| 1863, 3638 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3726,7276 By Matching Biggest Common Factor Method
Now, list down the factors of 3726
:1,2,3,6,9,18,23,27,46,54,69,81,138,162,207,414,621,1242,1863,3726
Now, list down the factors of 7276
:1,2,4,17,34,68,107,214,428,1819,3638,7276
Greatest Common Factor
We found the factors 3726,7276 . The biggest common factor number is the GCF number.
So the greatest common factor 3726,7276 is 2.
Lets's calculate LCM of 951,5460
| 3 | 951, 5460 |
| 317, 1820 |
∴ So the LCM of the given numbers is 3 x 317 x 1820 = 1730820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1730820
Therefore, the GCF of Fractions 3726/951,7276/5460 is 2/1730820
Least Common Multiple of 951,5460 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 951,5460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,5460) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(951,5460) x common factors =3 x 1 = 3
LCM(951,5460) = ( 951 × 5460 ) / 3
LCM(951,5460) = 5192460 / 3
LCM(951,5460) = 1730820
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FAQs on GCF of Fractions of 3726/951, 7276/5460
1. What is the HCF of 3726,7276?
The HCF of 3726,7276 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 3726/951, 7276/5460?
Answer: GCF of Numerators as per given numbers 3726/951, 7276/5460 is
GCF of Numerators i.e. for 3726,7276 is 2
LCM of denominators i.e. for 951,5460 is 1730820.
Thus, GCF of Fractions is 2/1730820.Finally, GCF of Fractions for 3726/951, 7276/5460 is 2/1730820.