Highest Common Factor of 6963, 5731 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 6963, 5731 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 6963, 5731 is 11 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 6963, 5731 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 6963, 5731 is 11.
HCF(6963, 5731) = 11
HCF of 6963, 5731 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6963, 5731 is 11.
Highest Common Factor of 6963,5731 is 11
Step 1: Since 6963 > 5731, we apply the division lemma to 6963 and 5731, to get
6963 = 5731 x 1 + 1232
Step 2: Since the reminder 5731 ≠ 0, we apply division lemma to 1232 and 5731, to get
5731 = 1232 x 4 + 803
Step 3: We consider the new divisor 1232 and the new remainder 803, and apply the division lemma to get
1232 = 803 x 1 + 429
We consider the new divisor 803 and the new remainder 429,and apply the division lemma to get
803 = 429 x 1 + 374
We consider the new divisor 429 and the new remainder 374,and apply the division lemma to get
429 = 374 x 1 + 55
We consider the new divisor 374 and the new remainder 55,and apply the division lemma to get
374 = 55 x 6 + 44
We consider the new divisor 55 and the new remainder 44,and apply the division lemma to get
55 = 44 x 1 + 11
We consider the new divisor 44 and the new remainder 11,and apply the division lemma to get
44 = 11 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 6963 and 5731 is 11
Notice that 11 = HCF(44,11) = HCF(55,44) = HCF(374,55) = HCF(429,374) = HCF(803,429) = HCF(1232,803) = HCF(5731,1232) = HCF(6963,5731) .
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Frequently Asked Questions on HCF of 6963, 5731 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 6963, 5731?
Answer: HCF of 6963, 5731 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6963, 5731 using Euclid's Algorithm?
Answer: For arbitrary numbers 6963, 5731 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.