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 6665, 3746 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6665, 3746 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 6665, 3746 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 6665, 3746 is 1.
HCF(6665, 3746) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6665, 3746 is 1.
Step 1: Since 6665 > 3746, we apply the division lemma to 6665 and 3746, to get
6665 = 3746 x 1 + 2919
Step 2: Since the reminder 3746 ≠ 0, we apply division lemma to 2919 and 3746, to get
3746 = 2919 x 1 + 827
Step 3: We consider the new divisor 2919 and the new remainder 827, and apply the division lemma to get
2919 = 827 x 3 + 438
We consider the new divisor 827 and the new remainder 438,and apply the division lemma to get
827 = 438 x 1 + 389
We consider the new divisor 438 and the new remainder 389,and apply the division lemma to get
438 = 389 x 1 + 49
We consider the new divisor 389 and the new remainder 49,and apply the division lemma to get
389 = 49 x 7 + 46
We consider the new divisor 49 and the new remainder 46,and apply the division lemma to get
49 = 46 x 1 + 3
We consider the new divisor 46 and the new remainder 3,and apply the division lemma to get
46 = 3 x 15 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6665 and 3746 is 1
Notice that 1 = HCF(3,1) = HCF(46,3) = HCF(49,46) = HCF(389,49) = HCF(438,389) = HCF(827,438) = HCF(2919,827) = HCF(3746,2919) = HCF(6665,3746) .
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 6665, 3746?
Answer: HCF of 6665, 3746 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6665, 3746 using Euclid's Algorithm?
Answer: For arbitrary numbers 6665, 3746 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.