Highest Common Factor of 337, 661, 649 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 337, 661, 649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 337, 661, 649 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 337, 661, 649 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 337, 661, 649 is 1.
HCF(337, 661, 649) = 1
HCF of 337, 661, 649 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 337, 661, 649 is 1.
Highest Common Factor of 337,661,649 is 1
Step 1: Since 661 > 337, we apply the division lemma to 661 and 337, to get
661 = 337 x 1 + 324
Step 2: Since the reminder 337 ≠ 0, we apply division lemma to 324 and 337, to get
337 = 324 x 1 + 13
Step 3: We consider the new divisor 324 and the new remainder 13, and apply the division lemma to get
324 = 13 x 24 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 337 and 661 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(324,13) = HCF(337,324) = HCF(661,337) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 649 > 1, we apply the division lemma to 649 and 1, to get
649 = 1 x 649 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 649 is 1
Notice that 1 = HCF(649,1) .
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Frequently Asked Questions on HCF of 337, 661, 649 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 337, 661, 649?
Answer: HCF of 337, 661, 649 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 337, 661, 649 using Euclid's Algorithm?
Answer: For arbitrary numbers 337, 661, 649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.