GCF of 267/38, 207/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 267/38, 207/206 i.e 3/3914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/38, 207/206.
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 267/38,207/206?
Given fractions are 267/38,207/206
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 267/38,207/206, numerators are 267,207
Denominators are 38,206
The GCF of 267,207 is 3 .
LCM of 38,206 is 3914.
The greatest common factor of 267/38,207/206 = [GCF of 267,207]/[LCM of 38,206]= 3/3914
Therefore, the GCF of 267/38,207/206 is 3/3914.
To find the highest common factor of 267,207, we have to find the factors of both numbers and list the highest common factor.
The factors of 267 are 1, 3, 89, 267
The factors of 207 are 1, 3, 9, 23, 69, 207
The HCF of 267,207 is 3.
Lets's calculate GCF of 267,207
| 3 | 267, 207 |
| 89, 69 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 267,207 By Matching Biggest Common Factor Method
Now, list down the factors of 267
:1,3,89,267
Now, list down the factors of 207
:1,3,9,23,69,207
Greatest Common Factor
We found the factors 267,207 . The biggest common factor number is the GCF number.
So the greatest common factor 267,207 is 3.
Lets's calculate LCM of 38,206
| 2 | 38, 206 |
| 19, 103 |
∴ So the LCM of the given numbers is 2 x 19 x 103 = 3914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3914
Therefore, the GCF of Fractions 267/38,207/206 is 3/3914
Least Common Multiple of 38,206 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 38,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,206) x common factors =2 x 1 = 2
LCM(38,206) = ( 38 × 206 ) / 2
LCM(38,206) = 7828 / 2
LCM(38,206) = 3914
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FAQs on GCF of Fractions of 267/38, 207/206
1. What is the HCF of 267,207?
The HCF of 267,207 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 267/38, 207/206?
Answer: GCF of Numerators as per given numbers 267/38, 207/206 is
GCF of Numerators i.e. for 267,207 is 3
LCM of denominators i.e. for 38,206 is 3914.
Thus, GCF of Fractions is 3/3914.Finally, GCF of Fractions for 267/38, 207/206 is 3/3914.