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 3636, 6739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3636, 6739 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 3636, 6739 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 3636, 6739 is 1.
HCF(3636, 6739) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3636, 6739 is 1.
Step 1: Since 6739 > 3636, we apply the division lemma to 6739 and 3636, to get
6739 = 3636 x 1 + 3103
Step 2: Since the reminder 3636 ≠ 0, we apply division lemma to 3103 and 3636, to get
3636 = 3103 x 1 + 533
Step 3: We consider the new divisor 3103 and the new remainder 533, and apply the division lemma to get
3103 = 533 x 5 + 438
We consider the new divisor 533 and the new remainder 438,and apply the division lemma to get
533 = 438 x 1 + 95
We consider the new divisor 438 and the new remainder 95,and apply the division lemma to get
438 = 95 x 4 + 58
We consider the new divisor 95 and the new remainder 58,and apply the division lemma to get
95 = 58 x 1 + 37
We consider the new divisor 58 and the new remainder 37,and apply the division lemma to get
58 = 37 x 1 + 21
We consider the new divisor 37 and the new remainder 21,and apply the division lemma to get
37 = 21 x 1 + 16
We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get
21 = 16 x 1 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3636 and 6739 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(37,21) = HCF(58,37) = HCF(95,58) = HCF(438,95) = HCF(533,438) = HCF(3103,533) = HCF(3636,3103) = HCF(6739,3636) .
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 3636, 6739?
Answer: HCF of 3636, 6739 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3636, 6739 using Euclid's Algorithm?
Answer: For arbitrary numbers 3636, 6739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.