Highest Common Factor of 1858, 6144 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 1858, 6144 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1858, 6144 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 1858, 6144 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 1858, 6144 is 2.
HCF(1858, 6144) = 2
HCF of 1858, 6144 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1858, 6144 is 2.
Highest Common Factor of 1858,6144 is 2
Step 1: Since 6144 > 1858, we apply the division lemma to 6144 and 1858, to get
6144 = 1858 x 3 + 570
Step 2: Since the reminder 1858 ≠ 0, we apply division lemma to 570 and 1858, to get
1858 = 570 x 3 + 148
Step 3: We consider the new divisor 570 and the new remainder 148, and apply the division lemma to get
570 = 148 x 3 + 126
We consider the new divisor 148 and the new remainder 126,and apply the division lemma to get
148 = 126 x 1 + 22
We consider the new divisor 126 and the new remainder 22,and apply the division lemma to get
126 = 22 x 5 + 16
We consider the new divisor 22 and the new remainder 16,and apply the division lemma to get
22 = 16 x 1 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1858 and 6144 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(22,16) = HCF(126,22) = HCF(148,126) = HCF(570,148) = HCF(1858,570) = HCF(6144,1858) .
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Frequently Asked Questions on HCF of 1858, 6144 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 1858, 6144?
Answer: HCF of 1858, 6144 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1858, 6144 using Euclid's Algorithm?
Answer: For arbitrary numbers 1858, 6144 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.