Highest Common Factor of 5584, 9411 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 5584, 9411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5584, 9411 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 5584, 9411 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 5584, 9411 is 1.
HCF(5584, 9411) = 1
HCF of 5584, 9411 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5584, 9411 is 1.
Highest Common Factor of 5584,9411 is 1
Step 1: Since 9411 > 5584, we apply the division lemma to 9411 and 5584, to get
9411 = 5584 x 1 + 3827
Step 2: Since the reminder 5584 ≠ 0, we apply division lemma to 3827 and 5584, to get
5584 = 3827 x 1 + 1757
Step 3: We consider the new divisor 3827 and the new remainder 1757, and apply the division lemma to get
3827 = 1757 x 2 + 313
We consider the new divisor 1757 and the new remainder 313,and apply the division lemma to get
1757 = 313 x 5 + 192
We consider the new divisor 313 and the new remainder 192,and apply the division lemma to get
313 = 192 x 1 + 121
We consider the new divisor 192 and the new remainder 121,and apply the division lemma to get
192 = 121 x 1 + 71
We consider the new divisor 121 and the new remainder 71,and apply the division lemma to get
121 = 71 x 1 + 50
We consider the new divisor 71 and the new remainder 50,and apply the division lemma to get
71 = 50 x 1 + 21
We consider the new divisor 50 and the new remainder 21,and apply the division lemma to get
50 = 21 x 2 + 8
We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get
21 = 8 x 2 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 5584 and 9411 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(50,21) = HCF(71,50) = HCF(121,71) = HCF(192,121) = HCF(313,192) = HCF(1757,313) = HCF(3827,1757) = HCF(5584,3827) = HCF(9411,5584) .
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Frequently Asked Questions on HCF of 5584, 9411 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 5584, 9411?
Answer: HCF of 5584, 9411 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5584, 9411 using Euclid's Algorithm?
Answer: For arbitrary numbers 5584, 9411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
