Highest Common Factor of 1133, 1898 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 1133, 1898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1133, 1898 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 1133, 1898 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 1133, 1898 is 1.
HCF(1133, 1898) = 1
HCF of 1133, 1898 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1133, 1898 is 1.
Highest Common Factor of 1133,1898 is 1
Step 1: Since 1898 > 1133, we apply the division lemma to 1898 and 1133, to get
1898 = 1133 x 1 + 765
Step 2: Since the reminder 1133 ≠ 0, we apply division lemma to 765 and 1133, to get
1133 = 765 x 1 + 368
Step 3: We consider the new divisor 765 and the new remainder 368, and apply the division lemma to get
765 = 368 x 2 + 29
We consider the new divisor 368 and the new remainder 29,and apply the division lemma to get
368 = 29 x 12 + 20
We consider the new divisor 29 and the new remainder 20,and apply the division lemma to get
29 = 20 x 1 + 9
We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get
20 = 9 x 2 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 1133 and 1898 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(29,20) = HCF(368,29) = HCF(765,368) = HCF(1133,765) = HCF(1898,1133) .
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Frequently Asked Questions on HCF of 1133, 1898 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 1133, 1898?
Answer: HCF of 1133, 1898 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1133, 1898 using Euclid's Algorithm?
Answer: For arbitrary numbers 1133, 1898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
