Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 4411, 9415, 14328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4411, 9415, 14328 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 4411, 9415, 14328 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 4411, 9415, 14328 is 1.
HCF(4411, 9415, 14328) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4411, 9415, 14328 is 1.
Step 1: Since 9415 > 4411, we apply the division lemma to 9415 and 4411, to get
9415 = 4411 x 2 + 593
Step 2: Since the reminder 4411 ≠ 0, we apply division lemma to 593 and 4411, to get
4411 = 593 x 7 + 260
Step 3: We consider the new divisor 593 and the new remainder 260, and apply the division lemma to get
593 = 260 x 2 + 73
We consider the new divisor 260 and the new remainder 73,and apply the division lemma to get
260 = 73 x 3 + 41
We consider the new divisor 73 and the new remainder 41,and apply the division lemma to get
73 = 41 x 1 + 32
We consider the new divisor 41 and the new remainder 32,and apply the division lemma to get
41 = 32 x 1 + 9
We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get
32 = 9 x 3 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4411 and 9415 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(41,32) = HCF(73,41) = HCF(260,73) = HCF(593,260) = HCF(4411,593) = HCF(9415,4411) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 14328 > 1, we apply the division lemma to 14328 and 1, to get
14328 = 1 x 14328 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14328 is 1
Notice that 1 = HCF(14328,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 4411, 9415, 14328?
Answer: HCF of 4411, 9415, 14328 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4411, 9415, 14328 using Euclid's Algorithm?
Answer: For arbitrary numbers 4411, 9415, 14328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.