Highest Common Factor of 4404, 8558 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 4404, 8558 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4404, 8558 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 4404, 8558 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 4404, 8558 is 2.
HCF(4404, 8558) = 2
HCF of 4404, 8558 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4404, 8558 is 2.
Highest Common Factor of 4404,8558 is 2
Step 1: Since 8558 > 4404, we apply the division lemma to 8558 and 4404, to get
8558 = 4404 x 1 + 4154
Step 2: Since the reminder 4404 ≠ 0, we apply division lemma to 4154 and 4404, to get
4404 = 4154 x 1 + 250
Step 3: We consider the new divisor 4154 and the new remainder 250, and apply the division lemma to get
4154 = 250 x 16 + 154
We consider the new divisor 250 and the new remainder 154,and apply the division lemma to get
250 = 154 x 1 + 96
We consider the new divisor 154 and the new remainder 96,and apply the division lemma to get
154 = 96 x 1 + 58
We consider the new divisor 96 and the new remainder 58,and apply the division lemma to get
96 = 58 x 1 + 38
We consider the new divisor 58 and the new remainder 38,and apply the division lemma to get
58 = 38 x 1 + 20
We consider the new divisor 38 and the new remainder 20,and apply the division lemma to get
38 = 20 x 1 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4404 and 8558 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(38,20) = HCF(58,38) = HCF(96,58) = HCF(154,96) = HCF(250,154) = HCF(4154,250) = HCF(4404,4154) = HCF(8558,4404) .
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Frequently Asked Questions on HCF of 4404, 8558 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 4404, 8558?
Answer: HCF of 4404, 8558 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4404, 8558 using Euclid's Algorithm?
Answer: For arbitrary numbers 4404, 8558 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.