GCF of 240/207, 3564/692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 240/207, 3564/692 i.e 12/143244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 240/207, 3564/692.
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 240/207,3564/692?
Given fractions are 240/207,3564/692
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 240/207,3564/692, numerators are 240,3564
Denominators are 207,692
The GCF of 240,3564 is 12 .
LCM of 207,692 is 143244.
The greatest common factor of 240/207,3564/692 = [GCF of 240,3564]/[LCM of 207,692]= 12/143244
Therefore, the GCF of 240/207,3564/692 is 12/143244.
To find the highest common factor of 240,3564, we have to find the factors of both numbers and list the highest common factor.
The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
The factors of 3564 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, 3564
The HCF of 240,3564 is 12.
Lets's calculate GCF of 240,3564
| 2 | 240, 3564 |
| 2 | 120, 1782 |
| 3 | 60, 891 |
| 20, 297 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 240,3564 By Matching Biggest Common Factor Method
Now, list down the factors of 240
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Now, list down the factors of 3564
:1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,132,162,198,297,324,396,594,891,1188,1782,3564
Greatest Common Factor
We found the factors 240,3564 . The biggest common factor number is the GCF number.
So the greatest common factor 240,3564 is 12.
Lets's calculate LCM of 207,692
Given numbers has no common factors except 1. So, there LCM is their product i.e 143244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/143244
Therefore, the GCF of Fractions 240/207,3564/692 is 12/143244
Least Common Multiple of 207,692 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 207,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,692) x common factors =1 x 1 = 1
LCM(207,692) = ( 207 × 692 ) / 1
LCM(207,692) = 143244 / 1
LCM(207,692) = 143244
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FAQs on GCF of Fractions of 240/207, 3564/692
1. What is the HCF of 240,3564?
The HCF of 240,3564 is 12
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 240/207, 3564/692?
Answer: GCF of Numerators as per given numbers 240/207, 3564/692 is
GCF of Numerators i.e. for 240,3564 is 12
LCM of denominators i.e. for 207,692 is 143244.
Thus, GCF of Fractions is 12/143244.Finally, GCF of Fractions for 240/207, 3564/692 is 12/143244.