GCF of 267/878, 3492/606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 267/878, 3492/606 i.e 3/266034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/878, 3492/606.
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 267/878,3492/606?
Given fractions are 267/878,3492/606
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 267/878,3492/606, numerators are 267,3492
Denominators are 878,606
The GCF of 267,3492 is 3 .
LCM of 878,606 is 266034.
The greatest common factor of 267/878,3492/606 = [GCF of 267,3492]/[LCM of 878,606]= 3/266034
Therefore, the GCF of 267/878,3492/606 is 3/266034.
To find the highest common factor of 267,3492, 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 3492 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492
The HCF of 267,3492 is 3.
Lets's calculate GCF of 267,3492
| 3 | 267, 3492 |
| 89, 1164 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 267,3492 By Matching Biggest Common Factor Method
Now, list down the factors of 267
:1,3,89,267
Now, list down the factors of 3492
:1,2,3,4,6,9,12,18,36,97,194,291,388,582,873,1164,1746,3492
Greatest Common Factor
We found the factors 267,3492 . The biggest common factor number is the GCF number.
So the greatest common factor 267,3492 is 3.
Lets's calculate LCM of 878,606
| 2 | 878, 606 |
| 439, 303 |
∴ So the LCM of the given numbers is 2 x 439 x 303 = 266034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/266034
Therefore, the GCF of Fractions 267/878,3492/606 is 3/266034
Least Common Multiple of 878,606 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 878,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,606) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,606) x common factors =2 x 1 = 2
LCM(878,606) = ( 878 × 606 ) / 2
LCM(878,606) = 532068 / 2
LCM(878,606) = 266034
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FAQs on GCF of Fractions of 267/878, 3492/606
1. What is the HCF of 267,3492?
The HCF of 267,3492 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 267/878, 3492/606?
Answer: GCF of Numerators as per given numbers 267/878, 3492/606 is
GCF of Numerators i.e. for 267,3492 is 3
LCM of denominators i.e. for 878,606 is 266034.
Thus, GCF of Fractions is 3/266034.Finally, GCF of Fractions for 267/878, 3492/606 is 3/266034.