GCF of 3555/688, 1677/7346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3555/688, 1677/7346 i.e 3/2527024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3555/688, 1677/7346.
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 3555/688,1677/7346?
Given fractions are 3555/688,1677/7346
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 3555/688,1677/7346, numerators are 3555,1677
Denominators are 688,7346
The GCF of 3555,1677 is 3 .
LCM of 688,7346 is 2527024.
The greatest common factor of 3555/688,1677/7346 = [GCF of 3555,1677]/[LCM of 688,7346]= 3/2527024
Therefore, the GCF of 3555/688,1677/7346 is 3/2527024.
To find the highest common factor of 3555,1677, we have to find the factors of both numbers and list the highest common factor.
The factors of 3555 are 1, 3, 5, 9, 15, 45, 79, 237, 395, 711, 1185, 3555
The factors of 1677 are 1, 3, 13, 39, 43, 129, 559, 1677
The HCF of 3555,1677 is 3.
Lets's calculate GCF of 3555,1677
| 3 | 3555, 1677 |
| 1185, 559 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3555,1677 By Matching Biggest Common Factor Method
Now, list down the factors of 3555
:1,3,5,9,15,45,79,237,395,711,1185,3555
Now, list down the factors of 1677
:1,3,13,39,43,129,559,1677
Greatest Common Factor
We found the factors 3555,1677 . The biggest common factor number is the GCF number.
So the greatest common factor 3555,1677 is 3.
Lets's calculate LCM of 688,7346
| 2 | 688, 7346 |
| 344, 3673 |
∴ So the LCM of the given numbers is 2 x 344 x 3673 = 2527024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2527024
Therefore, the GCF of Fractions 3555/688,1677/7346 is 3/2527024
Least Common Multiple of 688,7346 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 688,7346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,7346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(688,7346) x common factors =2 x 1 = 2
LCM(688,7346) = ( 688 × 7346 ) / 2
LCM(688,7346) = 5054048 / 2
LCM(688,7346) = 2527024
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FAQs on GCF of Fractions of 3555/688, 1677/7346
1. What is the HCF of 3555,1677?
The HCF of 3555,1677 is 3
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 3555/688, 1677/7346?
Answer: GCF of Numerators as per given numbers 3555/688, 1677/7346 is
GCF of Numerators i.e. for 3555,1677 is 3
LCM of denominators i.e. for 688,7346 is 2527024.
Thus, GCF of Fractions is 3/2527024.Finally, GCF of Fractions for 3555/688, 1677/7346 is 3/2527024.