Highest Common Factor of 432, 7586, 3555 using Euclid's algorithm
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 432, 7586, 3555 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 432, 7586, 3555 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 432, 7586, 3555 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 432, 7586, 3555 is 1.
HCF(432, 7586, 3555) = 1
HCF of 432, 7586, 3555 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 432, 7586, 3555 is 1.
Highest Common Factor of 432,7586,3555 is 1
Step 1: Since 7586 > 432, we apply the division lemma to 7586 and 432, to get
7586 = 432 x 17 + 242
Step 2: Since the reminder 432 ≠ 0, we apply division lemma to 242 and 432, to get
432 = 242 x 1 + 190
Step 3: We consider the new divisor 242 and the new remainder 190, and apply the division lemma to get
242 = 190 x 1 + 52
We consider the new divisor 190 and the new remainder 52,and apply the division lemma to get
190 = 52 x 3 + 34
We consider the new divisor 52 and the new remainder 34,and apply the division lemma to get
52 = 34 x 1 + 18
We consider the new divisor 34 and the new remainder 18,and apply the division lemma to get
34 = 18 x 1 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 432 and 7586 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(34,18) = HCF(52,34) = HCF(190,52) = HCF(242,190) = HCF(432,242) = HCF(7586,432) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3555 > 2, we apply the division lemma to 3555 and 2, to get
3555 = 2 x 1777 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 3555 is 1
Notice that 1 = HCF(2,1) = HCF(3555,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 432, 7586, 3555 using Euclid's Algorithm
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 432, 7586, 3555?
Answer: HCF of 432, 7586, 3555 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 432, 7586, 3555 using Euclid's Algorithm?
Answer: For arbitrary numbers 432, 7586, 3555 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.