Highest Common Factor of 1858, 3448 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, 3448 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1858, 3448 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, 3448 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, 3448 is 2.
HCF(1858, 3448) = 2
HCF of 1858, 3448 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, 3448 is 2.
Highest Common Factor of 1858,3448 is 2
Step 1: Since 3448 > 1858, we apply the division lemma to 3448 and 1858, to get
3448 = 1858 x 1 + 1590
Step 2: Since the reminder 1858 ≠ 0, we apply division lemma to 1590 and 1858, to get
1858 = 1590 x 1 + 268
Step 3: We consider the new divisor 1590 and the new remainder 268, and apply the division lemma to get
1590 = 268 x 5 + 250
We consider the new divisor 268 and the new remainder 250,and apply the division lemma to get
268 = 250 x 1 + 18
We consider the new divisor 250 and the new remainder 18,and apply the division lemma to get
250 = 18 x 13 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 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 1858 and 3448 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(250,18) = HCF(268,250) = HCF(1590,268) = HCF(1858,1590) = HCF(3448,1858) .
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Frequently Asked Questions on HCF of 1858, 3448 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, 3448?
Answer: HCF of 1858, 3448 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1858, 3448 using Euclid's Algorithm?
Answer: For arbitrary numbers 1858, 3448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.