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, 4121 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9031, 4121 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, 4121 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, 4121 is 1.
HCF(9031, 4121) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9031, 4121 is 1.
Step 1: Since 9031 > 4121, we apply the division lemma to 9031 and 4121, to get
9031 = 4121 x 2 + 789
Step 2: Since the reminder 4121 ≠ 0, we apply division lemma to 789 and 4121, to get
4121 = 789 x 5 + 176
Step 3: We consider the new divisor 789 and the new remainder 176, and apply the division lemma to get
789 = 176 x 4 + 85
We consider the new divisor 176 and the new remainder 85,and apply the division lemma to get
176 = 85 x 2 + 6
We consider the new divisor 85 and the new remainder 6,and apply the division lemma to get
85 = 6 x 14 + 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 9031 and 4121 is 1
Notice that 1 = HCF(6,1) = HCF(85,6) = HCF(176,85) = HCF(789,176) = HCF(4121,789) = HCF(9031,4121) .
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, 4121?
Answer: HCF of 9031, 4121 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9031, 4121 using Euclid's Algorithm?
Answer: For arbitrary numbers 9031, 4121 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.