Highest Common Factor of 844, 91389 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 844, 91389 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 844, 91389 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 844, 91389 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 844, 91389 is 1.
HCF(844, 91389) = 1
HCF of 844, 91389 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 844, 91389 is 1.
Highest Common Factor of 844,91389 is 1
Step 1: Since 91389 > 844, we apply the division lemma to 91389 and 844, to get
91389 = 844 x 108 + 237
Step 2: Since the reminder 844 ≠ 0, we apply division lemma to 237 and 844, to get
844 = 237 x 3 + 133
Step 3: We consider the new divisor 237 and the new remainder 133, and apply the division lemma to get
237 = 133 x 1 + 104
We consider the new divisor 133 and the new remainder 104,and apply the division lemma to get
133 = 104 x 1 + 29
We consider the new divisor 104 and the new remainder 29,and apply the division lemma to get
104 = 29 x 3 + 17
We consider the new divisor 29 and the new remainder 17,and apply the division lemma to get
29 = 17 x 1 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 844 and 91389 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(29,17) = HCF(104,29) = HCF(133,104) = HCF(237,133) = HCF(844,237) = HCF(91389,844) .
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Frequently Asked Questions on HCF of 844, 91389 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 844, 91389?
Answer: HCF of 844, 91389 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 844, 91389 using Euclid's Algorithm?
Answer: For arbitrary numbers 844, 91389 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.