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 5269, 3692 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5269, 3692 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 5269, 3692 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 5269, 3692 is 1.
HCF(5269, 3692) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5269, 3692 is 1.
Step 1: Since 5269 > 3692, we apply the division lemma to 5269 and 3692, to get
5269 = 3692 x 1 + 1577
Step 2: Since the reminder 3692 ≠ 0, we apply division lemma to 1577 and 3692, to get
3692 = 1577 x 2 + 538
Step 3: We consider the new divisor 1577 and the new remainder 538, and apply the division lemma to get
1577 = 538 x 2 + 501
We consider the new divisor 538 and the new remainder 501,and apply the division lemma to get
538 = 501 x 1 + 37
We consider the new divisor 501 and the new remainder 37,and apply the division lemma to get
501 = 37 x 13 + 20
We consider the new divisor 37 and the new remainder 20,and apply the division lemma to get
37 = 20 x 1 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 5269 and 3692 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(37,20) = HCF(501,37) = HCF(538,501) = HCF(1577,538) = HCF(3692,1577) = HCF(5269,3692) .
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 5269, 3692?
Answer: HCF of 5269, 3692 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5269, 3692 using Euclid's Algorithm?
Answer: For arbitrary numbers 5269, 3692 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.