Highest Common Factor of 4550, 4429 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 4550, 4429 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4550, 4429 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 4550, 4429 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 4550, 4429 is 1.
HCF(4550, 4429) = 1
HCF of 4550, 4429 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4550, 4429 is 1.
Highest Common Factor of 4550,4429 is 1
Step 1: Since 4550 > 4429, we apply the division lemma to 4550 and 4429, to get
4550 = 4429 x 1 + 121
Step 2: Since the reminder 4429 ≠ 0, we apply division lemma to 121 and 4429, to get
4429 = 121 x 36 + 73
Step 3: We consider the new divisor 121 and the new remainder 73, and apply the division lemma to get
121 = 73 x 1 + 48
We consider the new divisor 73 and the new remainder 48,and apply the division lemma to get
73 = 48 x 1 + 25
We consider the new divisor 48 and the new remainder 25,and apply the division lemma to get
48 = 25 x 1 + 23
We consider the new divisor 25 and the new remainder 23,and apply the division lemma to get
25 = 23 x 1 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 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 4550 and 4429 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(25,23) = HCF(48,25) = HCF(73,48) = HCF(121,73) = HCF(4429,121) = HCF(4550,4429) .
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Frequently Asked Questions on HCF of 4550, 4429 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 4550, 4429?
Answer: HCF of 4550, 4429 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4550, 4429 using Euclid's Algorithm?
Answer: For arbitrary numbers 4550, 4429 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.