Highest Common Factor of 290, 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 290, 749 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 290, 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 290, 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 290, 749 is 1.
HCF(290, 749) = 1
HCF of 290, 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 290, 749 is 1.
Highest Common Factor of 290,749 is 1
Step 1: Since 749 > 290, we apply the division lemma to 749 and 290, to get
749 = 290 x 2 + 169
Step 2: Since the reminder 290 ≠ 0, we apply division lemma to 169 and 290, to get
290 = 169 x 1 + 121
Step 3: We consider the new divisor 169 and the new remainder 121, and apply the division lemma to get
169 = 121 x 1 + 48
We consider the new divisor 121 and the new remainder 48,and apply the division lemma to get
121 = 48 x 2 + 25
We consider the new divisor 48 and the new remainder 25,and apply the division lemma to get
48 = 25 x 1 + 23
We consider the new divisor 25 and the new remainder 23,and apply the division lemma to get
25 = 23 x 1 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 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 290 and 749 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(25,23) = HCF(48,25) = HCF(121,48) = HCF(169,121) = HCF(290,169) = HCF(749,290) .
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Frequently Asked Questions on HCF of 290, 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 290, 749?
Answer: HCF of 290, 749 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 290, 749 using Euclid's Algorithm?
Answer: For arbitrary numbers 290, 749 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.