Highest Common Factor of 8549, 5552 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 8549, 5552 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8549, 5552 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 8549, 5552 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 8549, 5552 is 1.
HCF(8549, 5552) = 1
HCF of 8549, 5552 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8549, 5552 is 1.
Highest Common Factor of 8549,5552 is 1
Step 1: Since 8549 > 5552, we apply the division lemma to 8549 and 5552, to get
8549 = 5552 x 1 + 2997
Step 2: Since the reminder 5552 ≠ 0, we apply division lemma to 2997 and 5552, to get
5552 = 2997 x 1 + 2555
Step 3: We consider the new divisor 2997 and the new remainder 2555, and apply the division lemma to get
2997 = 2555 x 1 + 442
We consider the new divisor 2555 and the new remainder 442,and apply the division lemma to get
2555 = 442 x 5 + 345
We consider the new divisor 442 and the new remainder 345,and apply the division lemma to get
442 = 345 x 1 + 97
We consider the new divisor 345 and the new remainder 97,and apply the division lemma to get
345 = 97 x 3 + 54
We consider the new divisor 97 and the new remainder 54,and apply the division lemma to get
97 = 54 x 1 + 43
We consider the new divisor 54 and the new remainder 43,and apply the division lemma to get
54 = 43 x 1 + 11
We consider the new divisor 43 and the new remainder 11,and apply the division lemma to get
43 = 11 x 3 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8549 and 5552 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(43,11) = HCF(54,43) = HCF(97,54) = HCF(345,97) = HCF(442,345) = HCF(2555,442) = HCF(2997,2555) = HCF(5552,2997) = HCF(8549,5552) .
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Frequently Asked Questions on HCF of 8549, 5552 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 8549, 5552?
Answer: HCF of 8549, 5552 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8549, 5552 using Euclid's Algorithm?
Answer: For arbitrary numbers 8549, 5552 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.