Highest Common Factor of 7993, 4226 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 7993, 4226 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7993, 4226 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 7993, 4226 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 7993, 4226 is 1.
HCF(7993, 4226) = 1
HCF of 7993, 4226 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7993, 4226 is 1.
Highest Common Factor of 7993,4226 is 1
Step 1: Since 7993 > 4226, we apply the division lemma to 7993 and 4226, to get
7993 = 4226 x 1 + 3767
Step 2: Since the reminder 4226 ≠ 0, we apply division lemma to 3767 and 4226, to get
4226 = 3767 x 1 + 459
Step 3: We consider the new divisor 3767 and the new remainder 459, and apply the division lemma to get
3767 = 459 x 8 + 95
We consider the new divisor 459 and the new remainder 95,and apply the division lemma to get
459 = 95 x 4 + 79
We consider the new divisor 95 and the new remainder 79,and apply the division lemma to get
95 = 79 x 1 + 16
We consider the new divisor 79 and the new remainder 16,and apply the division lemma to get
79 = 16 x 4 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7993 and 4226 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(79,16) = HCF(95,79) = HCF(459,95) = HCF(3767,459) = HCF(4226,3767) = HCF(7993,4226) .
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Frequently Asked Questions on HCF of 7993, 4226 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 7993, 4226?
Answer: HCF of 7993, 4226 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7993, 4226 using Euclid's Algorithm?
Answer: For arbitrary numbers 7993, 4226 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.