Highest Common Factor of 1411, 4600 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 1411, 4600 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1411, 4600 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 1411, 4600 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 1411, 4600 is 1.
HCF(1411, 4600) = 1
HCF of 1411, 4600 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1411, 4600 is 1.
Highest Common Factor of 1411,4600 is 1
Step 1: Since 4600 > 1411, we apply the division lemma to 4600 and 1411, to get
4600 = 1411 x 3 + 367
Step 2: Since the reminder 1411 ≠ 0, we apply division lemma to 367 and 1411, to get
1411 = 367 x 3 + 310
Step 3: We consider the new divisor 367 and the new remainder 310, and apply the division lemma to get
367 = 310 x 1 + 57
We consider the new divisor 310 and the new remainder 57,and apply the division lemma to get
310 = 57 x 5 + 25
We consider the new divisor 57 and the new remainder 25,and apply the division lemma to get
57 = 25 x 2 + 7
We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get
25 = 7 x 3 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 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 1411 and 4600 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(57,25) = HCF(310,57) = HCF(367,310) = HCF(1411,367) = HCF(4600,1411) .
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Frequently Asked Questions on HCF of 1411, 4600 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 1411, 4600?
Answer: HCF of 1411, 4600 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1411, 4600 using Euclid's Algorithm?
Answer: For arbitrary numbers 1411, 4600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
