Highest Common Factor of 2456, 6793 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 2456, 6793 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2456, 6793 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 2456, 6793 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 2456, 6793 is 1.
HCF(2456, 6793) = 1
HCF of 2456, 6793 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2456, 6793 is 1.
Highest Common Factor of 2456,6793 is 1
Step 1: Since 6793 > 2456, we apply the division lemma to 6793 and 2456, to get
6793 = 2456 x 2 + 1881
Step 2: Since the reminder 2456 ≠ 0, we apply division lemma to 1881 and 2456, to get
2456 = 1881 x 1 + 575
Step 3: We consider the new divisor 1881 and the new remainder 575, and apply the division lemma to get
1881 = 575 x 3 + 156
We consider the new divisor 575 and the new remainder 156,and apply the division lemma to get
575 = 156 x 3 + 107
We consider the new divisor 156 and the new remainder 107,and apply the division lemma to get
156 = 107 x 1 + 49
We consider the new divisor 107 and the new remainder 49,and apply the division lemma to get
107 = 49 x 2 + 9
We consider the new divisor 49 and the new remainder 9,and apply the division lemma to get
49 = 9 x 5 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2456 and 6793 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(49,9) = HCF(107,49) = HCF(156,107) = HCF(575,156) = HCF(1881,575) = HCF(2456,1881) = HCF(6793,2456) .
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Frequently Asked Questions on HCF of 2456, 6793 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 2456, 6793?
Answer: HCF of 2456, 6793 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2456, 6793 using Euclid's Algorithm?
Answer: For arbitrary numbers 2456, 6793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.