Highest Common Factor of 176, 283, 90 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 176, 283, 90 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 176, 283, 90 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 176, 283, 90 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 176, 283, 90 is 1.
HCF(176, 283, 90) = 1
HCF of 176, 283, 90 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 176, 283, 90 is 1.
Highest Common Factor of 176,283,90 is 1
Step 1: Since 283 > 176, we apply the division lemma to 283 and 176, to get
283 = 176 x 1 + 107
Step 2: Since the reminder 176 ≠ 0, we apply division lemma to 107 and 176, to get
176 = 107 x 1 + 69
Step 3: We consider the new divisor 107 and the new remainder 69, and apply the division lemma to get
107 = 69 x 1 + 38
We consider the new divisor 69 and the new remainder 38,and apply the division lemma to get
69 = 38 x 1 + 31
We consider the new divisor 38 and the new remainder 31,and apply the division lemma to get
38 = 31 x 1 + 7
We consider the new divisor 31 and the new remainder 7,and apply the division lemma to get
31 = 7 x 4 + 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 176 and 283 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(31,7) = HCF(38,31) = HCF(69,38) = HCF(107,69) = HCF(176,107) = HCF(283,176) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 90 > 1, we apply the division lemma to 90 and 1, to get
90 = 1 x 90 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90 is 1
Notice that 1 = HCF(90,1) .
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Frequently Asked Questions on HCF of 176, 283, 90 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 176, 283, 90?
Answer: HCF of 176, 283, 90 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 176, 283, 90 using Euclid's Algorithm?
Answer: For arbitrary numbers 176, 283, 90 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
