Highest Common Factor of 2192, 9336 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 2192, 9336 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 2192, 9336 is 8 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 2192, 9336 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 2192, 9336 is 8.
HCF(2192, 9336) = 8
HCF of 2192, 9336 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2192, 9336 is 8.
Highest Common Factor of 2192,9336 is 8
Step 1: Since 9336 > 2192, we apply the division lemma to 9336 and 2192, to get
9336 = 2192 x 4 + 568
Step 2: Since the reminder 2192 ≠ 0, we apply division lemma to 568 and 2192, to get
2192 = 568 x 3 + 488
Step 3: We consider the new divisor 568 and the new remainder 488, and apply the division lemma to get
568 = 488 x 1 + 80
We consider the new divisor 488 and the new remainder 80,and apply the division lemma to get
488 = 80 x 6 + 8
We consider the new divisor 80 and the new remainder 8,and apply the division lemma to get
80 = 8 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 2192 and 9336 is 8
Notice that 8 = HCF(80,8) = HCF(488,80) = HCF(568,488) = HCF(2192,568) = HCF(9336,2192) .
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Frequently Asked Questions on HCF of 2192, 9336 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 2192, 9336?
Answer: HCF of 2192, 9336 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2192, 9336 using Euclid's Algorithm?
Answer: For arbitrary numbers 2192, 9336 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.