Highest Common Factor of 1558, 4558 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 1558, 4558 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1558, 4558 is 2 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 1558, 4558 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 1558, 4558 is 2.
HCF(1558, 4558) = 2
HCF of 1558, 4558 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1558, 4558 is 2.
Highest Common Factor of 1558,4558 is 2
Step 1: Since 4558 > 1558, we apply the division lemma to 4558 and 1558, to get
4558 = 1558 x 2 + 1442
Step 2: Since the reminder 1558 ≠ 0, we apply division lemma to 1442 and 1558, to get
1558 = 1442 x 1 + 116
Step 3: We consider the new divisor 1442 and the new remainder 116, and apply the division lemma to get
1442 = 116 x 12 + 50
We consider the new divisor 116 and the new remainder 50,and apply the division lemma to get
116 = 50 x 2 + 16
We consider the new divisor 50 and the new remainder 16,and apply the division lemma to get
50 = 16 x 3 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1558 and 4558 is 2
Notice that 2 = HCF(16,2) = HCF(50,16) = HCF(116,50) = HCF(1442,116) = HCF(1558,1442) = HCF(4558,1558) .
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Frequently Asked Questions on HCF of 1558, 4558 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 1558, 4558?
Answer: HCF of 1558, 4558 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1558, 4558 using Euclid's Algorithm?
Answer: For arbitrary numbers 1558, 4558 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.