Highest Common Factor of 976, 629, 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 976, 629, 649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 976, 629, 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 976, 629, 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 976, 629, 649 is 1.
HCF(976, 629, 649) = 1
HCF of 976, 629, 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 976, 629, 649 is 1.
Highest Common Factor of 976,629,649 is 1
Step 1: Since 976 > 629, we apply the division lemma to 976 and 629, to get
976 = 629 x 1 + 347
Step 2: Since the reminder 629 ≠ 0, we apply division lemma to 347 and 629, to get
629 = 347 x 1 + 282
Step 3: We consider the new divisor 347 and the new remainder 282, and apply the division lemma to get
347 = 282 x 1 + 65
We consider the new divisor 282 and the new remainder 65,and apply the division lemma to get
282 = 65 x 4 + 22
We consider the new divisor 65 and the new remainder 22,and apply the division lemma to get
65 = 22 x 2 + 21
We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 976 and 629 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(65,22) = HCF(282,65) = HCF(347,282) = HCF(629,347) = HCF(976,629) .
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 976, 629, 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 976, 629, 649?
Answer: HCF of 976, 629, 649 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 976, 629, 649 using Euclid's Algorithm?
Answer: For arbitrary numbers 976, 629, 649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.