GCF of 3670/229, 2754/557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3670/229, 2754/557 i.e 2/127553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3670/229, 2754/557.
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 3670/229,2754/557?
Given fractions are 3670/229,2754/557
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 3670/229,2754/557, numerators are 3670,2754
Denominators are 229,557
The GCF of 3670,2754 is 2 .
LCM of 229,557 is 127553.
The greatest common factor of 3670/229,2754/557 = [GCF of 3670,2754]/[LCM of 229,557]= 2/127553
Therefore, the GCF of 3670/229,2754/557 is 2/127553.
To find the highest common factor of 3670,2754, we have to find the factors of both numbers and list the highest common factor.
The factors of 3670 are 1, 2, 5, 10, 367, 734, 1835, 3670
The factors of 2754 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 306, 459, 918, 1377, 2754
The HCF of 3670,2754 is 2.
Lets's calculate GCF of 3670,2754
| 2 | 3670, 2754 |
| 1835, 1377 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3670,2754 By Matching Biggest Common Factor Method
Now, list down the factors of 3670
:1,2,5,10,367,734,1835,3670
Now, list down the factors of 2754
:1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,306,459,918,1377,2754
Greatest Common Factor
We found the factors 3670,2754 . The biggest common factor number is the GCF number.
So the greatest common factor 3670,2754 is 2.
Lets's calculate LCM of 229,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 127553
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/127553
Therefore, the GCF of Fractions 3670/229,2754/557 is 2/127553
Least Common Multiple of 229,557 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 229,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,557) x common factors =1 x 1 = 1
LCM(229,557) = ( 229 × 557 ) / 1
LCM(229,557) = 127553 / 1
LCM(229,557) = 127553
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FAQs on GCF of Fractions of 3670/229, 2754/557
1. What is the HCF of 3670,2754?
The HCF of 3670,2754 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 3670/229, 2754/557?
Answer: GCF of Numerators as per given numbers 3670/229, 2754/557 is
GCF of Numerators i.e. for 3670,2754 is 2
LCM of denominators i.e. for 229,557 is 127553.
Thus, GCF of Fractions is 2/127553.Finally, GCF of Fractions for 3670/229, 2754/557 is 2/127553.