GCF of 5429/325, 6960/304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5429/325, 6960/304 i.e 1/98800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5429/325, 6960/304.
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 5429/325,6960/304?
Given fractions are 5429/325,6960/304
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 5429/325,6960/304, numerators are 5429,6960
Denominators are 325,304
The GCF of 5429,6960 is 1 .
LCM of 325,304 is 98800.
The greatest common factor of 5429/325,6960/304 = [GCF of 5429,6960]/[LCM of 325,304]= 1/98800
Therefore, the GCF of 5429/325,6960/304 is 1/98800.
To find the highest common factor of 5429,6960, we have to find the factors of both numbers and list the highest common factor.
The factors of 5429 are 1, 61, 89, 5429
The factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960
The HCF of 5429,6960 is 1.
Lets's calculate GCF of 5429,6960
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5429,6960 By Matching Biggest Common Factor Method
Now, list down the factors of 5429
:1,61,89,5429
Now, list down the factors of 6960
:1,2,3,4,5,6,8,10,12,15,16,20,24,29,30,40,48,58,60,80,87,116,120,145,174,232,240,290,348,435,464,580,696,870,1160,1392,1740,2320,3480,6960
Greatest Common Factor
We found the factors 5429,6960 . The biggest common factor number is the GCF number.
So the greatest common factor 5429,6960 is 1.
Lets's calculate LCM of 325,304
Given numbers has no common factors except 1. So, there LCM is their product i.e 98800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98800
Therefore, the GCF of Fractions 5429/325,6960/304 is 1/98800
Least Common Multiple of 325,304 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 325,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,304) x common factors =1 x 1 = 1
LCM(325,304) = ( 325 × 304 ) / 1
LCM(325,304) = 98800 / 1
LCM(325,304) = 98800
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5429/325, 6960/304
1. What is the HCF of 5429,6960?
The HCF of 5429,6960 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 5429/325, 6960/304?
Answer: GCF of Numerators as per given numbers 5429/325, 6960/304 is
GCF of Numerators i.e. for 5429,6960 is 1
LCM of denominators i.e. for 325,304 is 98800.
Thus, GCF of Fractions is 1/98800.Finally, GCF of Fractions for 5429/325, 6960/304 is 1/98800.