Highest Common Factor of 1642, 1555 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 1642, 1555 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1642, 1555 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 1642, 1555 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 1642, 1555 is 1.
HCF(1642, 1555) = 1
HCF of 1642, 1555 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1642, 1555 is 1.
Highest Common Factor of 1642,1555 is 1
Step 1: Since 1642 > 1555, we apply the division lemma to 1642 and 1555, to get
1642 = 1555 x 1 + 87
Step 2: Since the reminder 1555 ≠ 0, we apply division lemma to 87 and 1555, to get
1555 = 87 x 17 + 76
Step 3: We consider the new divisor 87 and the new remainder 76, and apply the division lemma to get
87 = 76 x 1 + 11
We consider the new divisor 76 and the new remainder 11,and apply the division lemma to get
76 = 11 x 6 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1642 and 1555 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(76,11) = HCF(87,76) = HCF(1555,87) = HCF(1642,1555) .
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Frequently Asked Questions on HCF of 1642, 1555 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 1642, 1555?
Answer: HCF of 1642, 1555 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1642, 1555 using Euclid's Algorithm?
Answer: For arbitrary numbers 1642, 1555 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.