Highest Common Factor of 7963, 4733 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 7963, 4733 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7963, 4733 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 7963, 4733 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 7963, 4733 is 1.
HCF(7963, 4733) = 1
HCF of 7963, 4733 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7963, 4733 is 1.
Highest Common Factor of 7963,4733 is 1
Step 1: Since 7963 > 4733, we apply the division lemma to 7963 and 4733, to get
7963 = 4733 x 1 + 3230
Step 2: Since the reminder 4733 ≠ 0, we apply division lemma to 3230 and 4733, to get
4733 = 3230 x 1 + 1503
Step 3: We consider the new divisor 3230 and the new remainder 1503, and apply the division lemma to get
3230 = 1503 x 2 + 224
We consider the new divisor 1503 and the new remainder 224,and apply the division lemma to get
1503 = 224 x 6 + 159
We consider the new divisor 224 and the new remainder 159,and apply the division lemma to get
224 = 159 x 1 + 65
We consider the new divisor 159 and the new remainder 65,and apply the division lemma to get
159 = 65 x 2 + 29
We consider the new divisor 65 and the new remainder 29,and apply the division lemma to get
65 = 29 x 2 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7963 and 4733 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(65,29) = HCF(159,65) = HCF(224,159) = HCF(1503,224) = HCF(3230,1503) = HCF(4733,3230) = HCF(7963,4733) .
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Frequently Asked Questions on HCF of 7963, 4733 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 7963, 4733?
Answer: HCF of 7963, 4733 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7963, 4733 using Euclid's Algorithm?
Answer: For arbitrary numbers 7963, 4733 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
