Highest Common Factor of 1201, 4584 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 1201, 4584 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1201, 4584 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 1201, 4584 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 1201, 4584 is 1.
HCF(1201, 4584) = 1
HCF of 1201, 4584 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1201, 4584 is 1.
Highest Common Factor of 1201,4584 is 1
Step 1: Since 4584 > 1201, we apply the division lemma to 4584 and 1201, to get
4584 = 1201 x 3 + 981
Step 2: Since the reminder 1201 ≠ 0, we apply division lemma to 981 and 1201, to get
1201 = 981 x 1 + 220
Step 3: We consider the new divisor 981 and the new remainder 220, and apply the division lemma to get
981 = 220 x 4 + 101
We consider the new divisor 220 and the new remainder 101,and apply the division lemma to get
220 = 101 x 2 + 18
We consider the new divisor 101 and the new remainder 18,and apply the division lemma to get
101 = 18 x 5 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 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 1201 and 4584 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(101,18) = HCF(220,101) = HCF(981,220) = HCF(1201,981) = HCF(4584,1201) .
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Frequently Asked Questions on HCF of 1201, 4584 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 1201, 4584?
Answer: HCF of 1201, 4584 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1201, 4584 using Euclid's Algorithm?
Answer: For arbitrary numbers 1201, 4584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.