Highest Common Factor of 9926, 4236 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 9926, 4236 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9926, 4236 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 9926, 4236 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 9926, 4236 is 2.
HCF(9926, 4236) = 2
HCF of 9926, 4236 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9926, 4236 is 2.
Highest Common Factor of 9926,4236 is 2
Step 1: Since 9926 > 4236, we apply the division lemma to 9926 and 4236, to get
9926 = 4236 x 2 + 1454
Step 2: Since the reminder 4236 ≠ 0, we apply division lemma to 1454 and 4236, to get
4236 = 1454 x 2 + 1328
Step 3: We consider the new divisor 1454 and the new remainder 1328, and apply the division lemma to get
1454 = 1328 x 1 + 126
We consider the new divisor 1328 and the new remainder 126,and apply the division lemma to get
1328 = 126 x 10 + 68
We consider the new divisor 126 and the new remainder 68,and apply the division lemma to get
126 = 68 x 1 + 58
We consider the new divisor 68 and the new remainder 58,and apply the division lemma to get
68 = 58 x 1 + 10
We consider the new divisor 58 and the new remainder 10,and apply the division lemma to get
58 = 10 x 5 + 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 9926 and 4236 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(58,10) = HCF(68,58) = HCF(126,68) = HCF(1328,126) = HCF(1454,1328) = HCF(4236,1454) = HCF(9926,4236) .
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Frequently Asked Questions on HCF of 9926, 4236 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 9926, 4236?
Answer: HCF of 9926, 4236 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9926, 4236 using Euclid's Algorithm?
Answer: For arbitrary numbers 9926, 4236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.