Highest Common Factor of 7193, 8337 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 7193, 8337 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7193, 8337 is 1 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 7193, 8337 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 7193, 8337 is 1.
HCF(7193, 8337) = 1
HCF of 7193, 8337 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7193, 8337 is 1.
Highest Common Factor of 7193,8337 is 1
Step 1: Since 8337 > 7193, we apply the division lemma to 8337 and 7193, to get
8337 = 7193 x 1 + 1144
Step 2: Since the reminder 7193 ≠ 0, we apply division lemma to 1144 and 7193, to get
7193 = 1144 x 6 + 329
Step 3: We consider the new divisor 1144 and the new remainder 329, and apply the division lemma to get
1144 = 329 x 3 + 157
We consider the new divisor 329 and the new remainder 157,and apply the division lemma to get
329 = 157 x 2 + 15
We consider the new divisor 157 and the new remainder 15,and apply the division lemma to get
157 = 15 x 10 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7193 and 8337 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(157,15) = HCF(329,157) = HCF(1144,329) = HCF(7193,1144) = HCF(8337,7193) .
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Frequently Asked Questions on HCF of 7193, 8337 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 7193, 8337?
Answer: HCF of 7193, 8337 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7193, 8337 using Euclid's Algorithm?
Answer: For arbitrary numbers 7193, 8337 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.