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 9283, 3706 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9283, 3706 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 9283, 3706 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 9283, 3706 is 1.
HCF(9283, 3706) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9283, 3706 is 1.
Step 1: Since 9283 > 3706, we apply the division lemma to 9283 and 3706, to get
9283 = 3706 x 2 + 1871
Step 2: Since the reminder 3706 ≠ 0, we apply division lemma to 1871 and 3706, to get
3706 = 1871 x 1 + 1835
Step 3: We consider the new divisor 1871 and the new remainder 1835, and apply the division lemma to get
1871 = 1835 x 1 + 36
We consider the new divisor 1835 and the new remainder 36,and apply the division lemma to get
1835 = 36 x 50 + 35
We consider the new divisor 36 and the new remainder 35,and apply the division lemma to get
36 = 35 x 1 + 1
We consider the new divisor 35 and the new remainder 1,and apply the division lemma to get
35 = 1 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9283 and 3706 is 1
Notice that 1 = HCF(35,1) = HCF(36,35) = HCF(1835,36) = HCF(1871,1835) = HCF(3706,1871) = HCF(9283,3706) .
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 9283, 3706?
Answer: HCF of 9283, 3706 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9283, 3706 using Euclid's Algorithm?
Answer: For arbitrary numbers 9283, 3706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.