Highest Common Factor of 482, 4753, 9961 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 482, 4753, 9961 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 482, 4753, 9961 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 482, 4753, 9961 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 482, 4753, 9961 is 1.
HCF(482, 4753, 9961) = 1
HCF of 482, 4753, 9961 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 482, 4753, 9961 is 1.
Highest Common Factor of 482,4753,9961 is 1
Step 1: Since 4753 > 482, we apply the division lemma to 4753 and 482, to get
4753 = 482 x 9 + 415
Step 2: Since the reminder 482 ≠ 0, we apply division lemma to 415 and 482, to get
482 = 415 x 1 + 67
Step 3: We consider the new divisor 415 and the new remainder 67, and apply the division lemma to get
415 = 67 x 6 + 13
We consider the new divisor 67 and the new remainder 13,and apply the division lemma to get
67 = 13 x 5 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 482 and 4753 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(67,13) = HCF(415,67) = HCF(482,415) = HCF(4753,482) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9961 > 1, we apply the division lemma to 9961 and 1, to get
9961 = 1 x 9961 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9961 is 1
Notice that 1 = HCF(9961,1) .
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Frequently Asked Questions on HCF of 482, 4753, 9961 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 482, 4753, 9961?
Answer: HCF of 482, 4753, 9961 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 482, 4753, 9961 using Euclid's Algorithm?
Answer: For arbitrary numbers 482, 4753, 9961 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.