Highest Common Factor of 2961, 4082, 52244 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 2961, 4082, 52244 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2961, 4082, 52244 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 2961, 4082, 52244 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 2961, 4082, 52244 is 1.
HCF(2961, 4082, 52244) = 1
HCF of 2961, 4082, 52244 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2961, 4082, 52244 is 1.
Highest Common Factor of 2961,4082,52244 is 1
Step 1: Since 4082 > 2961, we apply the division lemma to 4082 and 2961, to get
4082 = 2961 x 1 + 1121
Step 2: Since the reminder 2961 ≠ 0, we apply division lemma to 1121 and 2961, to get
2961 = 1121 x 2 + 719
Step 3: We consider the new divisor 1121 and the new remainder 719, and apply the division lemma to get
1121 = 719 x 1 + 402
We consider the new divisor 719 and the new remainder 402,and apply the division lemma to get
719 = 402 x 1 + 317
We consider the new divisor 402 and the new remainder 317,and apply the division lemma to get
402 = 317 x 1 + 85
We consider the new divisor 317 and the new remainder 85,and apply the division lemma to get
317 = 85 x 3 + 62
We consider the new divisor 85 and the new remainder 62,and apply the division lemma to get
85 = 62 x 1 + 23
We consider the new divisor 62 and the new remainder 23,and apply the division lemma to get
62 = 23 x 2 + 16
We consider the new divisor 23 and the new remainder 16,and apply the division lemma to get
23 = 16 x 1 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 2961 and 4082 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(23,16) = HCF(62,23) = HCF(85,62) = HCF(317,85) = HCF(402,317) = HCF(719,402) = HCF(1121,719) = HCF(2961,1121) = HCF(4082,2961) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52244 > 1, we apply the division lemma to 52244 and 1, to get
52244 = 1 x 52244 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52244 is 1
Notice that 1 = HCF(52244,1) .
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Frequently Asked Questions on HCF of 2961, 4082, 52244 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 2961, 4082, 52244?
Answer: HCF of 2961, 4082, 52244 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2961, 4082, 52244 using Euclid's Algorithm?
Answer: For arbitrary numbers 2961, 4082, 52244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
