GCF of 267/652, 3876/106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 267/652, 3876/106 i.e 3/34556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/652, 3876/106.
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 267/652,3876/106?
Given fractions are 267/652,3876/106
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 267/652,3876/106, numerators are 267,3876
Denominators are 652,106
The GCF of 267,3876 is 3 .
LCM of 652,106 is 34556.
The greatest common factor of 267/652,3876/106 = [GCF of 267,3876]/[LCM of 652,106]= 3/34556
Therefore, the GCF of 267/652,3876/106 is 3/34556.
To find the highest common factor of 267,3876, 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 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876
The HCF of 267,3876 is 3.
Lets's calculate GCF of 267,3876
| 3 | 267, 3876 |
| 89, 1292 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 267,3876 By Matching Biggest Common Factor Method
Now, list down the factors of 267
:1,3,89,267
Now, list down the factors of 3876
:1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876
Greatest Common Factor
We found the factors 267,3876 . The biggest common factor number is the GCF number.
So the greatest common factor 267,3876 is 3.
Lets's calculate LCM of 652,106
| 2 | 652, 106 |
| 326, 53 |
∴ So the LCM of the given numbers is 2 x 326 x 53 = 34556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34556
Therefore, the GCF of Fractions 267/652,3876/106 is 3/34556
Least Common Multiple of 652,106 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 652,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,106) x common factors =2 x 1 = 2
LCM(652,106) = ( 652 × 106 ) / 2
LCM(652,106) = 69112 / 2
LCM(652,106) = 34556
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FAQs on GCF of Fractions of 267/652, 3876/106
1. What is the HCF of 267,3876?
The HCF of 267,3876 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 267/652, 3876/106?
Answer: GCF of Numerators as per given numbers 267/652, 3876/106 is
GCF of Numerators i.e. for 267,3876 is 3
LCM of denominators i.e. for 652,106 is 34556.
Thus, GCF of Fractions is 3/34556.Finally, GCF of Fractions for 267/652, 3876/106 is 3/34556.