Highest Common Factor of 3497, 1330 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 3497, 1330 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3497, 1330 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 3497, 1330 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 3497, 1330 is 1.
HCF(3497, 1330) = 1
HCF of 3497, 1330 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3497, 1330 is 1.
Highest Common Factor of 3497,1330 is 1
Step 1: Since 3497 > 1330, we apply the division lemma to 3497 and 1330, to get
3497 = 1330 x 2 + 837
Step 2: Since the reminder 1330 ≠ 0, we apply division lemma to 837 and 1330, to get
1330 = 837 x 1 + 493
Step 3: We consider the new divisor 837 and the new remainder 493, and apply the division lemma to get
837 = 493 x 1 + 344
We consider the new divisor 493 and the new remainder 344,and apply the division lemma to get
493 = 344 x 1 + 149
We consider the new divisor 344 and the new remainder 149,and apply the division lemma to get
344 = 149 x 2 + 46
We consider the new divisor 149 and the new remainder 46,and apply the division lemma to get
149 = 46 x 3 + 11
We consider the new divisor 46 and the new remainder 11,and apply the division lemma to get
46 = 11 x 4 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 3497 and 1330 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(46,11) = HCF(149,46) = HCF(344,149) = HCF(493,344) = HCF(837,493) = HCF(1330,837) = HCF(3497,1330) .
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Frequently Asked Questions on HCF of 3497, 1330 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 3497, 1330?
Answer: HCF of 3497, 1330 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3497, 1330 using Euclid's Algorithm?
Answer: For arbitrary numbers 3497, 1330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.