Highest Common Factor of 1129, 5445 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 1129, 5445 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1129, 5445 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 1129, 5445 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 1129, 5445 is 1.
HCF(1129, 5445) = 1
HCF of 1129, 5445 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1129, 5445 is 1.
Highest Common Factor of 1129,5445 is 1
Step 1: Since 5445 > 1129, we apply the division lemma to 5445 and 1129, to get
5445 = 1129 x 4 + 929
Step 2: Since the reminder 1129 ≠ 0, we apply division lemma to 929 and 1129, to get
1129 = 929 x 1 + 200
Step 3: We consider the new divisor 929 and the new remainder 200, and apply the division lemma to get
929 = 200 x 4 + 129
We consider the new divisor 200 and the new remainder 129,and apply the division lemma to get
200 = 129 x 1 + 71
We consider the new divisor 129 and the new remainder 71,and apply the division lemma to get
129 = 71 x 1 + 58
We consider the new divisor 71 and the new remainder 58,and apply the division lemma to get
71 = 58 x 1 + 13
We consider the new divisor 58 and the new remainder 13,and apply the division lemma to get
58 = 13 x 4 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1129 and 5445 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(58,13) = HCF(71,58) = HCF(129,71) = HCF(200,129) = HCF(929,200) = HCF(1129,929) = HCF(5445,1129) .
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Frequently Asked Questions on HCF of 1129, 5445 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 1129, 5445?
Answer: HCF of 1129, 5445 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1129, 5445 using Euclid's Algorithm?
Answer: For arbitrary numbers 1129, 5445 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
