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 3566, 909 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3566, 909 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 3566, 909 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 3566, 909 is 1.
HCF(3566, 909) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3566, 909 is 1.
Step 1: Since 3566 > 909, we apply the division lemma to 3566 and 909, to get
3566 = 909 x 3 + 839
Step 2: Since the reminder 909 ≠ 0, we apply division lemma to 839 and 909, to get
909 = 839 x 1 + 70
Step 3: We consider the new divisor 839 and the new remainder 70, and apply the division lemma to get
839 = 70 x 11 + 69
We consider the new divisor 70 and the new remainder 69,and apply the division lemma to get
70 = 69 x 1 + 1
We consider the new divisor 69 and the new remainder 1,and apply the division lemma to get
69 = 1 x 69 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3566 and 909 is 1
Notice that 1 = HCF(69,1) = HCF(70,69) = HCF(839,70) = HCF(909,839) = HCF(3566,909) .
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 3566, 909?
Answer: HCF of 3566, 909 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3566, 909 using Euclid's Algorithm?
Answer: For arbitrary numbers 3566, 909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.