Highest Common Factor of 562, 5449, 4075 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 562, 5449, 4075 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 562, 5449, 4075 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 562, 5449, 4075 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 562, 5449, 4075 is 1.
HCF(562, 5449, 4075) = 1
HCF of 562, 5449, 4075 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 562, 5449, 4075 is 1.
Highest Common Factor of 562,5449,4075 is 1
Step 1: Since 5449 > 562, we apply the division lemma to 5449 and 562, to get
5449 = 562 x 9 + 391
Step 2: Since the reminder 562 ≠ 0, we apply division lemma to 391 and 562, to get
562 = 391 x 1 + 171
Step 3: We consider the new divisor 391 and the new remainder 171, and apply the division lemma to get
391 = 171 x 2 + 49
We consider the new divisor 171 and the new remainder 49,and apply the division lemma to get
171 = 49 x 3 + 24
We consider the new divisor 49 and the new remainder 24,and apply the division lemma to get
49 = 24 x 2 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 562 and 5449 is 1
Notice that 1 = HCF(24,1) = HCF(49,24) = HCF(171,49) = HCF(391,171) = HCF(562,391) = HCF(5449,562) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4075 > 1, we apply the division lemma to 4075 and 1, to get
4075 = 1 x 4075 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4075 is 1
Notice that 1 = HCF(4075,1) .
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Frequently Asked Questions on HCF of 562, 5449, 4075 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 562, 5449, 4075?
Answer: HCF of 562, 5449, 4075 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 562, 5449, 4075 using Euclid's Algorithm?
Answer: For arbitrary numbers 562, 5449, 4075 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.