Highest Common Factor of 3783, 9066 using Euclid's algorithm
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 3783, 9066 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3783, 9066 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 3783, 9066 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 3783, 9066 is 3.
HCF(3783, 9066) = 3
HCF of 3783, 9066 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3783, 9066 is 3.
Highest Common Factor of 3783,9066 is 3
Step 1: Since 9066 > 3783, we apply the division lemma to 9066 and 3783, to get
9066 = 3783 x 2 + 1500
Step 2: Since the reminder 3783 ≠ 0, we apply division lemma to 1500 and 3783, to get
3783 = 1500 x 2 + 783
Step 3: We consider the new divisor 1500 and the new remainder 783, and apply the division lemma to get
1500 = 783 x 1 + 717
We consider the new divisor 783 and the new remainder 717,and apply the division lemma to get
783 = 717 x 1 + 66
We consider the new divisor 717 and the new remainder 66,and apply the division lemma to get
717 = 66 x 10 + 57
We consider the new divisor 66 and the new remainder 57,and apply the division lemma to get
66 = 57 x 1 + 9
We consider the new divisor 57 and the new remainder 9,and apply the division lemma to get
57 = 9 x 6 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3783 and 9066 is 3
Notice that 3 = HCF(9,3) = HCF(57,9) = HCF(66,57) = HCF(717,66) = HCF(783,717) = HCF(1500,783) = HCF(3783,1500) = HCF(9066,3783) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3783, 9066 using Euclid's Algorithm
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 3783, 9066?
Answer: HCF of 3783, 9066 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3783, 9066 using Euclid's Algorithm?
Answer: For arbitrary numbers 3783, 9066 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.