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 6636, 3573 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6636, 3573 is 3 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 6636, 3573 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 6636, 3573 is 3.
HCF(6636, 3573) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6636, 3573 is 3.
Step 1: Since 6636 > 3573, we apply the division lemma to 6636 and 3573, to get
6636 = 3573 x 1 + 3063
Step 2: Since the reminder 3573 ≠ 0, we apply division lemma to 3063 and 3573, to get
3573 = 3063 x 1 + 510
Step 3: We consider the new divisor 3063 and the new remainder 510, and apply the division lemma to get
3063 = 510 x 6 + 3
We consider the new divisor 510 and the new remainder 3, and apply the division lemma to get
510 = 3 x 170 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6636 and 3573 is 3
Notice that 3 = HCF(510,3) = HCF(3063,510) = HCF(3573,3063) = HCF(6636,3573) .
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 6636, 3573?
Answer: HCF of 6636, 3573 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6636, 3573 using Euclid's Algorithm?
Answer: For arbitrary numbers 6636, 3573 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.