Highest Common Factor of 7993, 3344 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, 3344 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7993, 3344 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, 3344 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, 3344 is 1.
HCF(7993, 3344) = 1
HCF of 7993, 3344 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, 3344 is 1.
Highest Common Factor of 7993,3344 is 1
Step 1: Since 7993 > 3344, we apply the division lemma to 7993 and 3344, to get
7993 = 3344 x 2 + 1305
Step 2: Since the reminder 3344 ≠ 0, we apply division lemma to 1305 and 3344, to get
3344 = 1305 x 2 + 734
Step 3: We consider the new divisor 1305 and the new remainder 734, and apply the division lemma to get
1305 = 734 x 1 + 571
We consider the new divisor 734 and the new remainder 571,and apply the division lemma to get
734 = 571 x 1 + 163
We consider the new divisor 571 and the new remainder 163,and apply the division lemma to get
571 = 163 x 3 + 82
We consider the new divisor 163 and the new remainder 82,and apply the division lemma to get
163 = 82 x 1 + 81
We consider the new divisor 82 and the new remainder 81,and apply the division lemma to get
82 = 81 x 1 + 1
We consider the new divisor 81 and the new remainder 1,and apply the division lemma to get
81 = 1 x 81 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7993 and 3344 is 1
Notice that 1 = HCF(81,1) = HCF(82,81) = HCF(163,82) = HCF(571,163) = HCF(734,571) = HCF(1305,734) = HCF(3344,1305) = HCF(7993,3344) .
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Frequently Asked Questions on HCF of 7993, 3344 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, 3344?
Answer: HCF of 7993, 3344 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7993, 3344 using Euclid's Algorithm?
Answer: For arbitrary numbers 7993, 3344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.