GCF of 540/67, 352/1243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 540/67, 352/1243 i.e 4/83281 easily. The following is the detailed procedure to determine the greatest common factor of fractions 540/67, 352/1243.
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 540/67,352/1243?
Given fractions are 540/67,352/1243
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 540/67,352/1243, numerators are 540,352
Denominators are 67,1243
The GCF of 540,352 is 4 .
LCM of 67,1243 is 83281.
The greatest common factor of 540/67,352/1243 = [GCF of 540,352]/[LCM of 67,1243]= 4/83281
Therefore, the GCF of 540/67,352/1243 is 4/83281.
To find the highest common factor of 540,352, we have to find the factors of both numbers and list the highest common factor.
The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The HCF of 540,352 is 4.
Lets's calculate GCF of 540,352
| 2 | 540, 352 |
| 2 | 270, 176 |
| 135, 88 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 540,352 By Matching Biggest Common Factor Method
Now, list down the factors of 540
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 540,352 . The biggest common factor number is the GCF number.
So the greatest common factor 540,352 is 4.
Lets's calculate LCM of 67,1243
Given numbers has no common factors except 1. So, there LCM is their product i.e 83281
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/83281
Therefore, the GCF of Fractions 540/67,352/1243 is 4/83281
Least Common Multiple of 67,1243 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 67,1243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,1243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,1243) x common factors =1 x 1 = 1
LCM(67,1243) = ( 67 × 1243 ) / 1
LCM(67,1243) = 83281 / 1
LCM(67,1243) = 83281
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FAQs on GCF of Fractions of 540/67, 352/1243
1. What is the HCF of 540,352?
The HCF of 540,352 is 4
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 540/67, 352/1243?
Answer: GCF of Numerators as per given numbers 540/67, 352/1243 is
GCF of Numerators i.e. for 540,352 is 4
LCM of denominators i.e. for 67,1243 is 83281.
Thus, GCF of Fractions is 4/83281.Finally, GCF of Fractions for 540/67, 352/1243 is 4/83281.