GCF of 7918/267, 4506/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7918/267, 4506/687 i.e 2/61143 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7918/267, 4506/687.
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 7918/267,4506/687?
Given fractions are 7918/267,4506/687
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 7918/267,4506/687, numerators are 7918,4506
Denominators are 267,687
The GCF of 7918,4506 is 2 .
LCM of 267,687 is 61143.
The greatest common factor of 7918/267,4506/687 = [GCF of 7918,4506]/[LCM of 267,687]= 2/61143
Therefore, the GCF of 7918/267,4506/687 is 2/61143.
To find the highest common factor of 7918,4506, we have to find the factors of both numbers and list the highest common factor.
The factors of 7918 are 1, 2, 37, 74, 107, 214, 3959, 7918
The factors of 4506 are 1, 2, 3, 6, 751, 1502, 2253, 4506
The HCF of 7918,4506 is 2.
Lets's calculate GCF of 7918,4506
| 2 | 7918, 4506 |
| 3959, 2253 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7918,4506 By Matching Biggest Common Factor Method
Now, list down the factors of 7918
:1,2,37,74,107,214,3959,7918
Now, list down the factors of 4506
:1,2,3,6,751,1502,2253,4506
Greatest Common Factor
We found the factors 7918,4506 . The biggest common factor number is the GCF number.
So the greatest common factor 7918,4506 is 2.
Lets's calculate LCM of 267,687
| 3 | 267, 687 |
| 89, 229 |
∴ So the LCM of the given numbers is 3 x 89 x 229 = 61143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61143
Therefore, the GCF of Fractions 7918/267,4506/687 is 2/61143
Least Common Multiple of 267,687 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 267,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,687) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,687) x common factors =3 x 1 = 3
LCM(267,687) = ( 267 × 687 ) / 3
LCM(267,687) = 183429 / 3
LCM(267,687) = 61143
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7918/267, 4506/687
1. What is the HCF of 7918,4506?
The HCF of 7918,4506 is 2
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 7918/267, 4506/687?
Answer: GCF of Numerators as per given numbers 7918/267, 4506/687 is
GCF of Numerators i.e. for 7918,4506 is 2
LCM of denominators i.e. for 267,687 is 61143.
Thus, GCF of Fractions is 2/61143.Finally, GCF of Fractions for 7918/267, 4506/687 is 2/61143.