Highest Common Factor of 9437, 9191 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 9437, 9191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9437, 9191 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 9437, 9191 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 9437, 9191 is 1.
HCF(9437, 9191) = 1
HCF of 9437, 9191 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9437, 9191 is 1.
Highest Common Factor of 9437,9191 is 1
Step 1: Since 9437 > 9191, we apply the division lemma to 9437 and 9191, to get
9437 = 9191 x 1 + 246
Step 2: Since the reminder 9191 ≠ 0, we apply division lemma to 246 and 9191, to get
9191 = 246 x 37 + 89
Step 3: We consider the new divisor 246 and the new remainder 89, and apply the division lemma to get
246 = 89 x 2 + 68
We consider the new divisor 89 and the new remainder 68,and apply the division lemma to get
89 = 68 x 1 + 21
We consider the new divisor 68 and the new remainder 21,and apply the division lemma to get
68 = 21 x 3 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9437 and 9191 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(68,21) = HCF(89,68) = HCF(246,89) = HCF(9191,246) = HCF(9437,9191) .
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Frequently Asked Questions on HCF of 9437, 9191 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 9437, 9191?
Answer: HCF of 9437, 9191 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9437, 9191 using Euclid's Algorithm?
Answer: For arbitrary numbers 9437, 9191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.