Highest Common Factor of 4943, 6965 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 4943, 6965 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4943, 6965 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 4943, 6965 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 4943, 6965 is 1.
HCF(4943, 6965) = 1
HCF of 4943, 6965 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4943, 6965 is 1.
Highest Common Factor of 4943,6965 is 1
Step 1: Since 6965 > 4943, we apply the division lemma to 6965 and 4943, to get
6965 = 4943 x 1 + 2022
Step 2: Since the reminder 4943 ≠ 0, we apply division lemma to 2022 and 4943, to get
4943 = 2022 x 2 + 899
Step 3: We consider the new divisor 2022 and the new remainder 899, and apply the division lemma to get
2022 = 899 x 2 + 224
We consider the new divisor 899 and the new remainder 224,and apply the division lemma to get
899 = 224 x 4 + 3
We consider the new divisor 224 and the new remainder 3,and apply the division lemma to get
224 = 3 x 74 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4943 and 6965 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(224,3) = HCF(899,224) = HCF(2022,899) = HCF(4943,2022) = HCF(6965,4943) .
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Frequently Asked Questions on HCF of 4943, 6965 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 4943, 6965?
Answer: HCF of 4943, 6965 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4943, 6965 using Euclid's Algorithm?
Answer: For arbitrary numbers 4943, 6965 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.