Highest Common Factor of 844, 45905 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, 45905 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 844, 45905 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, 45905 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, 45905 is 1.
HCF(844, 45905) = 1
HCF of 844, 45905 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, 45905 is 1.
Highest Common Factor of 844,45905 is 1
Step 1: Since 45905 > 844, we apply the division lemma to 45905 and 844, to get
45905 = 844 x 54 + 329
Step 2: Since the reminder 844 ≠ 0, we apply division lemma to 329 and 844, to get
844 = 329 x 2 + 186
Step 3: We consider the new divisor 329 and the new remainder 186, and apply the division lemma to get
329 = 186 x 1 + 143
We consider the new divisor 186 and the new remainder 143,and apply the division lemma to get
186 = 143 x 1 + 43
We consider the new divisor 143 and the new remainder 43,and apply the division lemma to get
143 = 43 x 3 + 14
We consider the new divisor 43 and the new remainder 14,and apply the division lemma to get
43 = 14 x 3 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 844 and 45905 is 1
Notice that 1 = HCF(14,1) = HCF(43,14) = HCF(143,43) = HCF(186,143) = HCF(329,186) = HCF(844,329) = HCF(45905,844) .
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Frequently Asked Questions on HCF of 844, 45905 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, 45905?
Answer: HCF of 844, 45905 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 844, 45905 using Euclid's Algorithm?
Answer: For arbitrary numbers 844, 45905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.