Highest Common Factor of 9792, 4226 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 9792, 4226 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9792, 4226 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 9792, 4226 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 9792, 4226 is 2.
HCF(9792, 4226) = 2
HCF of 9792, 4226 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9792, 4226 is 2.
Highest Common Factor of 9792,4226 is 2
Step 1: Since 9792 > 4226, we apply the division lemma to 9792 and 4226, to get
9792 = 4226 x 2 + 1340
Step 2: Since the reminder 4226 ≠ 0, we apply division lemma to 1340 and 4226, to get
4226 = 1340 x 3 + 206
Step 3: We consider the new divisor 1340 and the new remainder 206, and apply the division lemma to get
1340 = 206 x 6 + 104
We consider the new divisor 206 and the new remainder 104,and apply the division lemma to get
206 = 104 x 1 + 102
We consider the new divisor 104 and the new remainder 102,and apply the division lemma to get
104 = 102 x 1 + 2
We consider the new divisor 102 and the new remainder 2,and apply the division lemma to get
102 = 2 x 51 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9792 and 4226 is 2
Notice that 2 = HCF(102,2) = HCF(104,102) = HCF(206,104) = HCF(1340,206) = HCF(4226,1340) = HCF(9792,4226) .
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Frequently Asked Questions on HCF of 9792, 4226 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 9792, 4226?
Answer: HCF of 9792, 4226 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9792, 4226 using Euclid's Algorithm?
Answer: For arbitrary numbers 9792, 4226 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.