Highest Common Factor of 2750, 6443 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 2750, 6443 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2750, 6443 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 2750, 6443 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 2750, 6443 is 1.
HCF(2750, 6443) = 1
HCF of 2750, 6443 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2750, 6443 is 1.
Highest Common Factor of 2750,6443 is 1
Step 1: Since 6443 > 2750, we apply the division lemma to 6443 and 2750, to get
6443 = 2750 x 2 + 943
Step 2: Since the reminder 2750 ≠ 0, we apply division lemma to 943 and 2750, to get
2750 = 943 x 2 + 864
Step 3: We consider the new divisor 943 and the new remainder 864, and apply the division lemma to get
943 = 864 x 1 + 79
We consider the new divisor 864 and the new remainder 79,and apply the division lemma to get
864 = 79 x 10 + 74
We consider the new divisor 79 and the new remainder 74,and apply the division lemma to get
79 = 74 x 1 + 5
We consider the new divisor 74 and the new remainder 5,and apply the division lemma to get
74 = 5 x 14 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 2750 and 6443 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(74,5) = HCF(79,74) = HCF(864,79) = HCF(943,864) = HCF(2750,943) = HCF(6443,2750) .
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Frequently Asked Questions on HCF of 2750, 6443 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 2750, 6443?
Answer: HCF of 2750, 6443 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2750, 6443 using Euclid's Algorithm?
Answer: For arbitrary numbers 2750, 6443 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.