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 5236, 1767 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5236, 1767 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 5236, 1767 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 5236, 1767 is 1.
HCF(5236, 1767) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5236, 1767 is 1.
Step 1: Since 5236 > 1767, we apply the division lemma to 5236 and 1767, to get
5236 = 1767 x 2 + 1702
Step 2: Since the reminder 1767 ≠ 0, we apply division lemma to 1702 and 1767, to get
1767 = 1702 x 1 + 65
Step 3: We consider the new divisor 1702 and the new remainder 65, and apply the division lemma to get
1702 = 65 x 26 + 12
We consider the new divisor 65 and the new remainder 12,and apply the division lemma to get
65 = 12 x 5 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 5236 and 1767 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(65,12) = HCF(1702,65) = HCF(1767,1702) = HCF(5236,1767) .
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 5236, 1767?
Answer: HCF of 5236, 1767 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5236, 1767 using Euclid's Algorithm?
Answer: For arbitrary numbers 5236, 1767 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.