Highest Common Factor of 9364, 5256 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 9364, 5256 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9364, 5256 is 4 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 9364, 5256 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 9364, 5256 is 4.
HCF(9364, 5256) = 4
HCF of 9364, 5256 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9364, 5256 is 4.
Highest Common Factor of 9364,5256 is 4
Step 1: Since 9364 > 5256, we apply the division lemma to 9364 and 5256, to get
9364 = 5256 x 1 + 4108
Step 2: Since the reminder 5256 ≠ 0, we apply division lemma to 4108 and 5256, to get
5256 = 4108 x 1 + 1148
Step 3: We consider the new divisor 4108 and the new remainder 1148, and apply the division lemma to get
4108 = 1148 x 3 + 664
We consider the new divisor 1148 and the new remainder 664,and apply the division lemma to get
1148 = 664 x 1 + 484
We consider the new divisor 664 and the new remainder 484,and apply the division lemma to get
664 = 484 x 1 + 180
We consider the new divisor 484 and the new remainder 180,and apply the division lemma to get
484 = 180 x 2 + 124
We consider the new divisor 180 and the new remainder 124,and apply the division lemma to get
180 = 124 x 1 + 56
We consider the new divisor 124 and the new remainder 56,and apply the division lemma to get
124 = 56 x 2 + 12
We consider the new divisor 56 and the new remainder 12,and apply the division lemma to get
56 = 12 x 4 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9364 and 5256 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(56,12) = HCF(124,56) = HCF(180,124) = HCF(484,180) = HCF(664,484) = HCF(1148,664) = HCF(4108,1148) = HCF(5256,4108) = HCF(9364,5256) .
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Frequently Asked Questions on HCF of 9364, 5256 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 9364, 5256?
Answer: HCF of 9364, 5256 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9364, 5256 using Euclid's Algorithm?
Answer: For arbitrary numbers 9364, 5256 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.