Highest Common Factor of 607, 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 607, 749 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 607, 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 607, 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 607, 749 is 1.
HCF(607, 749) = 1
HCF of 607, 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 607, 749 is 1.
Highest Common Factor of 607,749 is 1
Step 1: Since 749 > 607, we apply the division lemma to 749 and 607, to get
749 = 607 x 1 + 142
Step 2: Since the reminder 607 ≠ 0, we apply division lemma to 142 and 607, to get
607 = 142 x 4 + 39
Step 3: We consider the new divisor 142 and the new remainder 39, and apply the division lemma to get
142 = 39 x 3 + 25
We consider the new divisor 39 and the new remainder 25,and apply the division lemma to get
39 = 25 x 1 + 14
We consider the new divisor 25 and the new remainder 14,and apply the division lemma to get
25 = 14 x 1 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 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 607 and 749 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(25,14) = HCF(39,25) = HCF(142,39) = HCF(607,142) = HCF(749,607) .
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Frequently Asked Questions on HCF of 607, 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 607, 749?
Answer: HCF of 607, 749 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 607, 749 using Euclid's Algorithm?
Answer: For arbitrary numbers 607, 749 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.