Highest Common Factor of 1653, 5887 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 1653, 5887 i.e. 29 the largest integer that leaves a remainder zero for all numbers.
HCF of 1653, 5887 is 29 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 1653, 5887 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 1653, 5887 is 29.
HCF(1653, 5887) = 29
HCF of 1653, 5887 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1653, 5887 is 29.
Highest Common Factor of 1653,5887 is 29
Step 1: Since 5887 > 1653, we apply the division lemma to 5887 and 1653, to get
5887 = 1653 x 3 + 928
Step 2: Since the reminder 1653 ≠ 0, we apply division lemma to 928 and 1653, to get
1653 = 928 x 1 + 725
Step 3: We consider the new divisor 928 and the new remainder 725, and apply the division lemma to get
928 = 725 x 1 + 203
We consider the new divisor 725 and the new remainder 203,and apply the division lemma to get
725 = 203 x 3 + 116
We consider the new divisor 203 and the new remainder 116,and apply the division lemma to get
203 = 116 x 1 + 87
We consider the new divisor 116 and the new remainder 87,and apply the division lemma to get
116 = 87 x 1 + 29
We consider the new divisor 87 and the new remainder 29,and apply the division lemma to get
87 = 29 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 1653 and 5887 is 29
Notice that 29 = HCF(87,29) = HCF(116,87) = HCF(203,116) = HCF(725,203) = HCF(928,725) = HCF(1653,928) = HCF(5887,1653) .
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Frequently Asked Questions on HCF of 1653, 5887 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 1653, 5887?
Answer: HCF of 1653, 5887 is 29 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1653, 5887 using Euclid's Algorithm?
Answer: For arbitrary numbers 1653, 5887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.