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 4831, 9367 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4831, 9367 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 4831, 9367 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 4831, 9367 is 1.
HCF(4831, 9367) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4831, 9367 is 1.
Step 1: Since 9367 > 4831, we apply the division lemma to 9367 and 4831, to get
9367 = 4831 x 1 + 4536
Step 2: Since the reminder 4831 ≠ 0, we apply division lemma to 4536 and 4831, to get
4831 = 4536 x 1 + 295
Step 3: We consider the new divisor 4536 and the new remainder 295, and apply the division lemma to get
4536 = 295 x 15 + 111
We consider the new divisor 295 and the new remainder 111,and apply the division lemma to get
295 = 111 x 2 + 73
We consider the new divisor 111 and the new remainder 73,and apply the division lemma to get
111 = 73 x 1 + 38
We consider the new divisor 73 and the new remainder 38,and apply the division lemma to get
73 = 38 x 1 + 35
We consider the new divisor 38 and the new remainder 35,and apply the division lemma to get
38 = 35 x 1 + 3
We consider the new divisor 35 and the new remainder 3,and apply the division lemma to get
35 = 3 x 11 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4831 and 9367 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(38,35) = HCF(73,38) = HCF(111,73) = HCF(295,111) = HCF(4536,295) = HCF(4831,4536) = HCF(9367,4831) .
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 4831, 9367?
Answer: HCF of 4831, 9367 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4831, 9367 using Euclid's Algorithm?
Answer: For arbitrary numbers 4831, 9367 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.