GCF of 879/49, 304/454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 879/49, 304/454 i.e 1/22246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/49, 304/454.
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 879/49,304/454?
Given fractions are 879/49,304/454
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 879/49,304/454, numerators are 879,304
Denominators are 49,454
The GCF of 879,304 is 1 .
LCM of 49,454 is 22246.
The greatest common factor of 879/49,304/454 = [GCF of 879,304]/[LCM of 49,454]= 1/22246
Therefore, the GCF of 879/49,304/454 is 1/22246.
To find the highest common factor of 879,304, we have to find the factors of both numbers and list the highest common factor.
The factors of 879 are 1, 3, 293, 879
The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
The HCF of 879,304 is 1.
Lets's calculate GCF of 879,304
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 879,304 By Matching Biggest Common Factor Method
Now, list down the factors of 879
:1,3,293,879
Now, list down the factors of 304
:1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 879,304 . The biggest common factor number is the GCF number.
So the greatest common factor 879,304 is 1.
Lets's calculate LCM of 49,454
Given numbers has no common factors except 1. So, there LCM is their product i.e 22246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22246
Therefore, the GCF of Fractions 879/49,304/454 is 1/22246
Least Common Multiple of 49,454 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 49,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,454) x common factors =1 x 1 = 1
LCM(49,454) = ( 49 × 454 ) / 1
LCM(49,454) = 22246 / 1
LCM(49,454) = 22246
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 879/49, 304/454
1. What is the HCF of 879,304?
The HCF of 879,304 is 1
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 879/49, 304/454?
Answer: GCF of Numerators as per given numbers 879/49, 304/454 is
GCF of Numerators i.e. for 879,304 is 1
LCM of denominators i.e. for 49,454 is 22246.
Thus, GCF of Fractions is 1/22246.Finally, GCF of Fractions for 879/49, 304/454 is 1/22246.