Highest Common Factor of 293, 744, 749 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 293, 744, 749 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 293, 744, 749 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 293, 744, 749 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 293, 744, 749 is 1.
HCF(293, 744, 749) = 1
HCF of 293, 744, 749 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 293, 744, 749 is 1.
Highest Common Factor of 293,744,749 is 1
Step 1: Since 744 > 293, we apply the division lemma to 744 and 293, to get
744 = 293 x 2 + 158
Step 2: Since the reminder 293 ≠ 0, we apply division lemma to 158 and 293, to get
293 = 158 x 1 + 135
Step 3: We consider the new divisor 158 and the new remainder 135, and apply the division lemma to get
158 = 135 x 1 + 23
We consider the new divisor 135 and the new remainder 23,and apply the division lemma to get
135 = 23 x 5 + 20
We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get
23 = 20 x 1 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 293 and 744 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(135,23) = HCF(158,135) = HCF(293,158) = HCF(744,293) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 749 > 1, we apply the division lemma to 749 and 1, to get
749 = 1 x 749 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 749 is 1
Notice that 1 = HCF(749,1) .
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Frequently Asked Questions on HCF of 293, 744, 749 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 293, 744, 749?
Answer: HCF of 293, 744, 749 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 293, 744, 749 using Euclid's Algorithm?
Answer: For arbitrary numbers 293, 744, 749 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.