GCF of 267/488, 7416/7504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 267/488, 7416/7504 i.e 3/457744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/488, 7416/7504.
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 267/488,7416/7504?
Given fractions are 267/488,7416/7504
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 267/488,7416/7504, numerators are 267,7416
Denominators are 488,7504
The GCF of 267,7416 is 3 .
LCM of 488,7504 is 457744.
The greatest common factor of 267/488,7416/7504 = [GCF of 267,7416]/[LCM of 488,7504]= 3/457744
Therefore, the GCF of 267/488,7416/7504 is 3/457744.
To find the highest common factor of 267,7416, 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 7416 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416
The HCF of 267,7416 is 3.
Lets's calculate GCF of 267,7416
| 3 | 267, 7416 |
| 89, 2472 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 267,7416 By Matching Biggest Common Factor Method
Now, list down the factors of 267
:1,3,89,267
Now, list down the factors of 7416
:1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416
Greatest Common Factor
We found the factors 267,7416 . The biggest common factor number is the GCF number.
So the greatest common factor 267,7416 is 3.
Lets's calculate LCM of 488,7504
| 2 | 488, 7504 |
| 2 | 244, 3752 |
| 2 | 122, 1876 |
| 61, 938 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 938 = 457744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/457744
Therefore, the GCF of Fractions 267/488,7416/7504 is 3/457744
Least Common Multiple of 488,7504 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 488,7504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,7504) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(488,7504) x common factors =8 x 1 = 8
LCM(488,7504) = ( 488 × 7504 ) / 8
LCM(488,7504) = 3661952 / 8
LCM(488,7504) = 457744
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FAQs on GCF of Fractions of 267/488, 7416/7504
1. What is the HCF of 267,7416?
The HCF of 267,7416 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 267/488, 7416/7504?
Answer: GCF of Numerators as per given numbers 267/488, 7416/7504 is
GCF of Numerators i.e. for 267,7416 is 3
LCM of denominators i.e. for 488,7504 is 457744.
Thus, GCF of Fractions is 3/457744.Finally, GCF of Fractions for 267/488, 7416/7504 is 3/457744.