Highest Common Factor of 7393, 5828 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 7393, 5828 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7393, 5828 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 7393, 5828 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 7393, 5828 is 1.
HCF(7393, 5828) = 1
HCF of 7393, 5828 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7393, 5828 is 1.
Highest Common Factor of 7393,5828 is 1
Step 1: Since 7393 > 5828, we apply the division lemma to 7393 and 5828, to get
7393 = 5828 x 1 + 1565
Step 2: Since the reminder 5828 ≠ 0, we apply division lemma to 1565 and 5828, to get
5828 = 1565 x 3 + 1133
Step 3: We consider the new divisor 1565 and the new remainder 1133, and apply the division lemma to get
1565 = 1133 x 1 + 432
We consider the new divisor 1133 and the new remainder 432,and apply the division lemma to get
1133 = 432 x 2 + 269
We consider the new divisor 432 and the new remainder 269,and apply the division lemma to get
432 = 269 x 1 + 163
We consider the new divisor 269 and the new remainder 163,and apply the division lemma to get
269 = 163 x 1 + 106
We consider the new divisor 163 and the new remainder 106,and apply the division lemma to get
163 = 106 x 1 + 57
We consider the new divisor 106 and the new remainder 57,and apply the division lemma to get
106 = 57 x 1 + 49
We consider the new divisor 57 and the new remainder 49,and apply the division lemma to get
57 = 49 x 1 + 8
We consider the new divisor 49 and the new remainder 8,and apply the division lemma to get
49 = 8 x 6 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7393 and 5828 is 1
Notice that 1 = HCF(8,1) = HCF(49,8) = HCF(57,49) = HCF(106,57) = HCF(163,106) = HCF(269,163) = HCF(432,269) = HCF(1133,432) = HCF(1565,1133) = HCF(5828,1565) = HCF(7393,5828) .
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Frequently Asked Questions on HCF of 7393, 5828 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 7393, 5828?
Answer: HCF of 7393, 5828 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7393, 5828 using Euclid's Algorithm?
Answer: For arbitrary numbers 7393, 5828 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
