Highest Common Factor of 9076, 9338 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 9076, 9338 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9076, 9338 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 9076, 9338 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 9076, 9338 is 2.
HCF(9076, 9338) = 2
HCF of 9076, 9338 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9076, 9338 is 2.
Highest Common Factor of 9076,9338 is 2
Step 1: Since 9338 > 9076, we apply the division lemma to 9338 and 9076, to get
9338 = 9076 x 1 + 262
Step 2: Since the reminder 9076 ≠ 0, we apply division lemma to 262 and 9076, to get
9076 = 262 x 34 + 168
Step 3: We consider the new divisor 262 and the new remainder 168, and apply the division lemma to get
262 = 168 x 1 + 94
We consider the new divisor 168 and the new remainder 94,and apply the division lemma to get
168 = 94 x 1 + 74
We consider the new divisor 94 and the new remainder 74,and apply the division lemma to get
94 = 74 x 1 + 20
We consider the new divisor 74 and the new remainder 20,and apply the division lemma to get
74 = 20 x 3 + 14
We consider the new divisor 20 and the new remainder 14,and apply the division lemma to get
20 = 14 x 1 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9076 and 9338 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(20,14) = HCF(74,20) = HCF(94,74) = HCF(168,94) = HCF(262,168) = HCF(9076,262) = HCF(9338,9076) .
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Frequently Asked Questions on HCF of 9076, 9338 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 9076, 9338?
Answer: HCF of 9076, 9338 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9076, 9338 using Euclid's Algorithm?
Answer: For arbitrary numbers 9076, 9338 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.