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 9031, 1105 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9031, 1105 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 9031, 1105 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 9031, 1105 is 1.
HCF(9031, 1105) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9031, 1105 is 1.
Step 1: Since 9031 > 1105, we apply the division lemma to 9031 and 1105, to get
9031 = 1105 x 8 + 191
Step 2: Since the reminder 1105 ≠ 0, we apply division lemma to 191 and 1105, to get
1105 = 191 x 5 + 150
Step 3: We consider the new divisor 191 and the new remainder 150, and apply the division lemma to get
191 = 150 x 1 + 41
We consider the new divisor 150 and the new remainder 41,and apply the division lemma to get
150 = 41 x 3 + 27
We consider the new divisor 41 and the new remainder 27,and apply the division lemma to get
41 = 27 x 1 + 14
We consider the new divisor 27 and the new remainder 14,and apply the division lemma to get
27 = 14 x 1 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9031 and 1105 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(41,27) = HCF(150,41) = HCF(191,150) = HCF(1105,191) = HCF(9031,1105) .
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 9031, 1105?
Answer: HCF of 9031, 1105 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9031, 1105 using Euclid's Algorithm?
Answer: For arbitrary numbers 9031, 1105 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.