Highest Common Factor of 143, 2827, 1677 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 143, 2827, 1677 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 143, 2827, 1677 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 143, 2827, 1677 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 143, 2827, 1677 is 1.
HCF(143, 2827, 1677) = 1
HCF of 143, 2827, 1677 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 143, 2827, 1677 is 1.
Highest Common Factor of 143,2827,1677 is 1
Step 1: Since 2827 > 143, we apply the division lemma to 2827 and 143, to get
2827 = 143 x 19 + 110
Step 2: Since the reminder 143 ≠ 0, we apply division lemma to 110 and 143, to get
143 = 110 x 1 + 33
Step 3: We consider the new divisor 110 and the new remainder 33, and apply the division lemma to get
110 = 33 x 3 + 11
We consider the new divisor 33 and the new remainder 11, and apply the division lemma to get
33 = 11 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 143 and 2827 is 11
Notice that 11 = HCF(33,11) = HCF(110,33) = HCF(143,110) = HCF(2827,143) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1677 > 11, we apply the division lemma to 1677 and 11, to get
1677 = 11 x 152 + 5
Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 5 and 11, to get
11 = 5 x 2 + 1
Step 3: We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 11 and 1677 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(1677,11) .
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Frequently Asked Questions on HCF of 143, 2827, 1677 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 143, 2827, 1677?
Answer: HCF of 143, 2827, 1677 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 143, 2827, 1677 using Euclid's Algorithm?
Answer: For arbitrary numbers 143, 2827, 1677 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.