Highest Common Factor of 3411, 4976 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 3411, 4976 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3411, 4976 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 3411, 4976 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 3411, 4976 is 1.
HCF(3411, 4976) = 1
HCF of 3411, 4976 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3411, 4976 is 1.
Highest Common Factor of 3411,4976 is 1
Step 1: Since 4976 > 3411, we apply the division lemma to 4976 and 3411, to get
4976 = 3411 x 1 + 1565
Step 2: Since the reminder 3411 ≠ 0, we apply division lemma to 1565 and 3411, to get
3411 = 1565 x 2 + 281
Step 3: We consider the new divisor 1565 and the new remainder 281, and apply the division lemma to get
1565 = 281 x 5 + 160
We consider the new divisor 281 and the new remainder 160,and apply the division lemma to get
281 = 160 x 1 + 121
We consider the new divisor 160 and the new remainder 121,and apply the division lemma to get
160 = 121 x 1 + 39
We consider the new divisor 121 and the new remainder 39,and apply the division lemma to get
121 = 39 x 3 + 4
We consider the new divisor 39 and the new remainder 4,and apply the division lemma to get
39 = 4 x 9 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3411 and 4976 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(39,4) = HCF(121,39) = HCF(160,121) = HCF(281,160) = HCF(1565,281) = HCF(3411,1565) = HCF(4976,3411) .
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Frequently Asked Questions on HCF of 3411, 4976 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 3411, 4976?
Answer: HCF of 3411, 4976 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3411, 4976 using Euclid's Algorithm?
Answer: For arbitrary numbers 3411, 4976 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.