Highest Common Factor of 962, 6333, 6741 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 962, 6333, 6741 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 962, 6333, 6741 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 962, 6333, 6741 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 962, 6333, 6741 is 1.
HCF(962, 6333, 6741) = 1
HCF of 962, 6333, 6741 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 962, 6333, 6741 is 1.
Highest Common Factor of 962,6333,6741 is 1
Step 1: Since 6333 > 962, we apply the division lemma to 6333 and 962, to get
6333 = 962 x 6 + 561
Step 2: Since the reminder 962 ≠ 0, we apply division lemma to 561 and 962, to get
962 = 561 x 1 + 401
Step 3: We consider the new divisor 561 and the new remainder 401, and apply the division lemma to get
561 = 401 x 1 + 160
We consider the new divisor 401 and the new remainder 160,and apply the division lemma to get
401 = 160 x 2 + 81
We consider the new divisor 160 and the new remainder 81,and apply the division lemma to get
160 = 81 x 1 + 79
We consider the new divisor 81 and the new remainder 79,and apply the division lemma to get
81 = 79 x 1 + 2
We consider the new divisor 79 and the new remainder 2,and apply the division lemma to get
79 = 2 x 39 + 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 962 and 6333 is 1
Notice that 1 = HCF(2,1) = HCF(79,2) = HCF(81,79) = HCF(160,81) = HCF(401,160) = HCF(561,401) = HCF(962,561) = HCF(6333,962) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6741 > 1, we apply the division lemma to 6741 and 1, to get
6741 = 1 x 6741 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6741 is 1
Notice that 1 = HCF(6741,1) .
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Frequently Asked Questions on HCF of 962, 6333, 6741 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 962, 6333, 6741?
Answer: HCF of 962, 6333, 6741 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 962, 6333, 6741 using Euclid's Algorithm?
Answer: For arbitrary numbers 962, 6333, 6741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.