Highest Common Factor of 1845, 9004 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 1845, 9004 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1845, 9004 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 1845, 9004 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 1845, 9004 is 1.
HCF(1845, 9004) = 1
HCF of 1845, 9004 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1845, 9004 is 1.
Highest Common Factor of 1845,9004 is 1
Step 1: Since 9004 > 1845, we apply the division lemma to 9004 and 1845, to get
9004 = 1845 x 4 + 1624
Step 2: Since the reminder 1845 ≠ 0, we apply division lemma to 1624 and 1845, to get
1845 = 1624 x 1 + 221
Step 3: We consider the new divisor 1624 and the new remainder 221, and apply the division lemma to get
1624 = 221 x 7 + 77
We consider the new divisor 221 and the new remainder 77,and apply the division lemma to get
221 = 77 x 2 + 67
We consider the new divisor 77 and the new remainder 67,and apply the division lemma to get
77 = 67 x 1 + 10
We consider the new divisor 67 and the new remainder 10,and apply the division lemma to get
67 = 10 x 6 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1845 and 9004 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(67,10) = HCF(77,67) = HCF(221,77) = HCF(1624,221) = HCF(1845,1624) = HCF(9004,1845) .
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Frequently Asked Questions on HCF of 1845, 9004 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 1845, 9004?
Answer: HCF of 1845, 9004 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1845, 9004 using Euclid's Algorithm?
Answer: For arbitrary numbers 1845, 9004 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.