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 555, 703, 236 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 555, 703, 236 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 555, 703, 236 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 555, 703, 236 is 1.
HCF(555, 703, 236) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 555, 703, 236 is 1.
Step 1: Since 703 > 555, we apply the division lemma to 703 and 555, to get
703 = 555 x 1 + 148
Step 2: Since the reminder 555 ≠ 0, we apply division lemma to 148 and 555, to get
555 = 148 x 3 + 111
Step 3: We consider the new divisor 148 and the new remainder 111, and apply the division lemma to get
148 = 111 x 1 + 37
We consider the new divisor 111 and the new remainder 37, and apply the division lemma to get
111 = 37 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 555 and 703 is 37
Notice that 37 = HCF(111,37) = HCF(148,111) = HCF(555,148) = HCF(703,555) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 236 > 37, we apply the division lemma to 236 and 37, to get
236 = 37 x 6 + 14
Step 2: Since the reminder 37 ≠ 0, we apply division lemma to 14 and 37, to get
37 = 14 x 2 + 9
Step 3: We consider the new divisor 14 and the new remainder 9, and apply the division lemma to get
14 = 9 x 1 + 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 37 and 236 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(37,14) = HCF(236,37) .
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 555, 703, 236?
Answer: HCF of 555, 703, 236 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 555, 703, 236 using Euclid's Algorithm?
Answer: For arbitrary numbers 555, 703, 236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.