Highest Common Factor of 9594, 5456 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 9594, 5456 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9594, 5456 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 9594, 5456 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 9594, 5456 is 2.
HCF(9594, 5456) = 2
HCF of 9594, 5456 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9594, 5456 is 2.
Highest Common Factor of 9594,5456 is 2
Step 1: Since 9594 > 5456, we apply the division lemma to 9594 and 5456, to get
9594 = 5456 x 1 + 4138
Step 2: Since the reminder 5456 ≠ 0, we apply division lemma to 4138 and 5456, to get
5456 = 4138 x 1 + 1318
Step 3: We consider the new divisor 4138 and the new remainder 1318, and apply the division lemma to get
4138 = 1318 x 3 + 184
We consider the new divisor 1318 and the new remainder 184,and apply the division lemma to get
1318 = 184 x 7 + 30
We consider the new divisor 184 and the new remainder 30,and apply the division lemma to get
184 = 30 x 6 + 4
We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get
30 = 4 x 7 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9594 and 5456 is 2
Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(184,30) = HCF(1318,184) = HCF(4138,1318) = HCF(5456,4138) = HCF(9594,5456) .
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Frequently Asked Questions on HCF of 9594, 5456 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 9594, 5456?
Answer: HCF of 9594, 5456 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9594, 5456 using Euclid's Algorithm?
Answer: For arbitrary numbers 9594, 5456 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.