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 3766, 6611 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3766, 6611 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 3766, 6611 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 3766, 6611 is 1.
HCF(3766, 6611) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3766, 6611 is 1.
Step 1: Since 6611 > 3766, we apply the division lemma to 6611 and 3766, to get
6611 = 3766 x 1 + 2845
Step 2: Since the reminder 3766 ≠ 0, we apply division lemma to 2845 and 3766, to get
3766 = 2845 x 1 + 921
Step 3: We consider the new divisor 2845 and the new remainder 921, and apply the division lemma to get
2845 = 921 x 3 + 82
We consider the new divisor 921 and the new remainder 82,and apply the division lemma to get
921 = 82 x 11 + 19
We consider the new divisor 82 and the new remainder 19,and apply the division lemma to get
82 = 19 x 4 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3766 and 6611 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(82,19) = HCF(921,82) = HCF(2845,921) = HCF(3766,2845) = HCF(6611,3766) .
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 3766, 6611?
Answer: HCF of 3766, 6611 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3766, 6611 using Euclid's Algorithm?
Answer: For arbitrary numbers 3766, 6611 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.