Highest Common Factor of 4556, 2437 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 4556, 2437 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4556, 2437 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 4556, 2437 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 4556, 2437 is 1.
HCF(4556, 2437) = 1
HCF of 4556, 2437 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4556, 2437 is 1.
Highest Common Factor of 4556,2437 is 1
Step 1: Since 4556 > 2437, we apply the division lemma to 4556 and 2437, to get
4556 = 2437 x 1 + 2119
Step 2: Since the reminder 2437 ≠ 0, we apply division lemma to 2119 and 2437, to get
2437 = 2119 x 1 + 318
Step 3: We consider the new divisor 2119 and the new remainder 318, and apply the division lemma to get
2119 = 318 x 6 + 211
We consider the new divisor 318 and the new remainder 211,and apply the division lemma to get
318 = 211 x 1 + 107
We consider the new divisor 211 and the new remainder 107,and apply the division lemma to get
211 = 107 x 1 + 104
We consider the new divisor 107 and the new remainder 104,and apply the division lemma to get
107 = 104 x 1 + 3
We consider the new divisor 104 and the new remainder 3,and apply the division lemma to get
104 = 3 x 34 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 4556 and 2437 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(104,3) = HCF(107,104) = HCF(211,107) = HCF(318,211) = HCF(2119,318) = HCF(2437,2119) = HCF(4556,2437) .
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Frequently Asked Questions on HCF of 4556, 2437 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 4556, 2437?
Answer: HCF of 4556, 2437 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4556, 2437 using Euclid's Algorithm?
Answer: For arbitrary numbers 4556, 2437 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.