GCF of 1756/654, 3388/9453
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1756/654, 3388/9453 i.e 4/2060754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1756/654, 3388/9453.
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 1756/654,3388/9453?
Given fractions are 1756/654,3388/9453
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 1756/654,3388/9453, numerators are 1756,3388
Denominators are 654,9453
The GCF of 1756,3388 is 4 .
LCM of 654,9453 is 2060754.
The greatest common factor of 1756/654,3388/9453 = [GCF of 1756,3388]/[LCM of 654,9453]= 4/2060754
Therefore, the GCF of 1756/654,3388/9453 is 4/2060754.
To find the highest common factor of 1756,3388, we have to find the factors of both numbers and list the highest common factor.
The factors of 1756 are 1, 2, 4, 439, 878, 1756
The factors of 3388 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1694, 3388
The HCF of 1756,3388 is 4.
Lets's calculate GCF of 1756,3388
| 2 | 1756, 3388 |
| 2 | 878, 1694 |
| 439, 847 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1756,3388 By Matching Biggest Common Factor Method
Now, list down the factors of 1756
:1,2,4,439,878,1756
Now, list down the factors of 3388
:1,2,4,7,11,14,22,28,44,77,121,154,242,308,484,847,1694,3388
Greatest Common Factor
We found the factors 1756,3388 . The biggest common factor number is the GCF number.
So the greatest common factor 1756,3388 is 4.
Lets's calculate LCM of 654,9453
| 3 | 654, 9453 |
| 218, 3151 |
∴ So the LCM of the given numbers is 3 x 218 x 3151 = 2060754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2060754
Therefore, the GCF of Fractions 1756/654,3388/9453 is 4/2060754
Least Common Multiple of 654,9453 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 654,9453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,9453) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(654,9453) x common factors =3 x 1 = 3
LCM(654,9453) = ( 654 × 9453 ) / 3
LCM(654,9453) = 6182262 / 3
LCM(654,9453) = 2060754
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FAQs on GCF of Fractions of 1756/654, 3388/9453
1. What is the HCF of 1756,3388?
The HCF of 1756,3388 is 4
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 1756/654, 3388/9453?
Answer: GCF of Numerators as per given numbers 1756/654, 3388/9453 is
GCF of Numerators i.e. for 1756,3388 is 4
LCM of denominators i.e. for 654,9453 is 2060754.
Thus, GCF of Fractions is 4/2060754.Finally, GCF of Fractions for 1756/654, 3388/9453 is 4/2060754.