Highest Common Factor of 5293, 6784 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 5293, 6784 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5293, 6784 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 5293, 6784 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 5293, 6784 is 1.
HCF(5293, 6784) = 1
HCF of 5293, 6784 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5293, 6784 is 1.
Highest Common Factor of 5293,6784 is 1
Step 1: Since 6784 > 5293, we apply the division lemma to 6784 and 5293, to get
6784 = 5293 x 1 + 1491
Step 2: Since the reminder 5293 ≠ 0, we apply division lemma to 1491 and 5293, to get
5293 = 1491 x 3 + 820
Step 3: We consider the new divisor 1491 and the new remainder 820, and apply the division lemma to get
1491 = 820 x 1 + 671
We consider the new divisor 820 and the new remainder 671,and apply the division lemma to get
820 = 671 x 1 + 149
We consider the new divisor 671 and the new remainder 149,and apply the division lemma to get
671 = 149 x 4 + 75
We consider the new divisor 149 and the new remainder 75,and apply the division lemma to get
149 = 75 x 1 + 74
We consider the new divisor 75 and the new remainder 74,and apply the division lemma to get
75 = 74 x 1 + 1
We consider the new divisor 74 and the new remainder 1,and apply the division lemma to get
74 = 1 x 74 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5293 and 6784 is 1
Notice that 1 = HCF(74,1) = HCF(75,74) = HCF(149,75) = HCF(671,149) = HCF(820,671) = HCF(1491,820) = HCF(5293,1491) = HCF(6784,5293) .
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Frequently Asked Questions on HCF of 5293, 6784 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 5293, 6784?
Answer: HCF of 5293, 6784 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5293, 6784 using Euclid's Algorithm?
Answer: For arbitrary numbers 5293, 6784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
