Highest Common Factor of 913, 166, 293 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 913, 166, 293 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 913, 166, 293 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 913, 166, 293 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 913, 166, 293 is 1.
HCF(913, 166, 293) = 1
HCF of 913, 166, 293 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 913, 166, 293 is 1.
Highest Common Factor of 913,166,293 is 1
Step 1: Since 913 > 166, we apply the division lemma to 913 and 166, to get
913 = 166 x 5 + 83
Step 2: Since the reminder 166 ≠ 0, we apply division lemma to 83 and 166, to get
166 = 83 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 83, the HCF of 913 and 166 is 83
Notice that 83 = HCF(166,83) = HCF(913,166) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 293 > 83, we apply the division lemma to 293 and 83, to get
293 = 83 x 3 + 44
Step 2: Since the reminder 83 ≠ 0, we apply division lemma to 44 and 83, to get
83 = 44 x 1 + 39
Step 3: We consider the new divisor 44 and the new remainder 39, and apply the division lemma to get
44 = 39 x 1 + 5
We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get
39 = 5 x 7 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 83 and 293 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(44,39) = HCF(83,44) = HCF(293,83) .
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Frequently Asked Questions on HCF of 913, 166, 293 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 913, 166, 293?
Answer: HCF of 913, 166, 293 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 913, 166, 293 using Euclid's Algorithm?
Answer: For arbitrary numbers 913, 166, 293 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.