Highest Common Factor of 5436, 9602 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 5436, 9602 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5436, 9602 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 5436, 9602 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 5436, 9602 is 2.
HCF(5436, 9602) = 2
HCF of 5436, 9602 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5436, 9602 is 2.
Highest Common Factor of 5436,9602 is 2
Step 1: Since 9602 > 5436, we apply the division lemma to 9602 and 5436, to get
9602 = 5436 x 1 + 4166
Step 2: Since the reminder 5436 ≠ 0, we apply division lemma to 4166 and 5436, to get
5436 = 4166 x 1 + 1270
Step 3: We consider the new divisor 4166 and the new remainder 1270, and apply the division lemma to get
4166 = 1270 x 3 + 356
We consider the new divisor 1270 and the new remainder 356,and apply the division lemma to get
1270 = 356 x 3 + 202
We consider the new divisor 356 and the new remainder 202,and apply the division lemma to get
356 = 202 x 1 + 154
We consider the new divisor 202 and the new remainder 154,and apply the division lemma to get
202 = 154 x 1 + 48
We consider the new divisor 154 and the new remainder 48,and apply the division lemma to get
154 = 48 x 3 + 10
We consider the new divisor 48 and the new remainder 10,and apply the division lemma to get
48 = 10 x 4 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5436 and 9602 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(48,10) = HCF(154,48) = HCF(202,154) = HCF(356,202) = HCF(1270,356) = HCF(4166,1270) = HCF(5436,4166) = HCF(9602,5436) .
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Frequently Asked Questions on HCF of 5436, 9602 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 5436, 9602?
Answer: HCF of 5436, 9602 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5436, 9602 using Euclid's Algorithm?
Answer: For arbitrary numbers 5436, 9602 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.