Highest Common Factor of 5552, 8658 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 5552, 8658 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5552, 8658 is 2 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 5552, 8658 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 5552, 8658 is 2.
HCF(5552, 8658) = 2
HCF of 5552, 8658 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5552, 8658 is 2.
Highest Common Factor of 5552,8658 is 2
Step 1: Since 8658 > 5552, we apply the division lemma to 8658 and 5552, to get
8658 = 5552 x 1 + 3106
Step 2: Since the reminder 5552 ≠ 0, we apply division lemma to 3106 and 5552, to get
5552 = 3106 x 1 + 2446
Step 3: We consider the new divisor 3106 and the new remainder 2446, and apply the division lemma to get
3106 = 2446 x 1 + 660
We consider the new divisor 2446 and the new remainder 660,and apply the division lemma to get
2446 = 660 x 3 + 466
We consider the new divisor 660 and the new remainder 466,and apply the division lemma to get
660 = 466 x 1 + 194
We consider the new divisor 466 and the new remainder 194,and apply the division lemma to get
466 = 194 x 2 + 78
We consider the new divisor 194 and the new remainder 78,and apply the division lemma to get
194 = 78 x 2 + 38
We consider the new divisor 78 and the new remainder 38,and apply the division lemma to get
78 = 38 x 2 + 2
We consider the new divisor 38 and the new remainder 2,and apply the division lemma to get
38 = 2 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5552 and 8658 is 2
Notice that 2 = HCF(38,2) = HCF(78,38) = HCF(194,78) = HCF(466,194) = HCF(660,466) = HCF(2446,660) = HCF(3106,2446) = HCF(5552,3106) = HCF(8658,5552) .
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Frequently Asked Questions on HCF of 5552, 8658 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 5552, 8658?
Answer: HCF of 5552, 8658 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5552, 8658 using Euclid's Algorithm?
Answer: For arbitrary numbers 5552, 8658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.