Highest Common Factor of 5841, 4635 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 5841, 4635 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 5841, 4635 is 9 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 5841, 4635 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 5841, 4635 is 9.
HCF(5841, 4635) = 9
HCF of 5841, 4635 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5841, 4635 is 9.
Highest Common Factor of 5841,4635 is 9
Step 1: Since 5841 > 4635, we apply the division lemma to 5841 and 4635, to get
5841 = 4635 x 1 + 1206
Step 2: Since the reminder 4635 ≠ 0, we apply division lemma to 1206 and 4635, to get
4635 = 1206 x 3 + 1017
Step 3: We consider the new divisor 1206 and the new remainder 1017, and apply the division lemma to get
1206 = 1017 x 1 + 189
We consider the new divisor 1017 and the new remainder 189,and apply the division lemma to get
1017 = 189 x 5 + 72
We consider the new divisor 189 and the new remainder 72,and apply the division lemma to get
189 = 72 x 2 + 45
We consider the new divisor 72 and the new remainder 45,and apply the division lemma to get
72 = 45 x 1 + 27
We consider the new divisor 45 and the new remainder 27,and apply the division lemma to get
45 = 27 x 1 + 18
We consider the new divisor 27 and the new remainder 18,and apply the division lemma to get
27 = 18 x 1 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 5841 and 4635 is 9
Notice that 9 = HCF(18,9) = HCF(27,18) = HCF(45,27) = HCF(72,45) = HCF(189,72) = HCF(1017,189) = HCF(1206,1017) = HCF(4635,1206) = HCF(5841,4635) .
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Frequently Asked Questions on HCF of 5841, 4635 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 5841, 4635?
Answer: HCF of 5841, 4635 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5841, 4635 using Euclid's Algorithm?
Answer: For arbitrary numbers 5841, 4635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.