Highest Common Factor of 866, 629, 336, 60 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 866, 629, 336, 60 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 866, 629, 336, 60 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 866, 629, 336, 60 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 866, 629, 336, 60 is 1.
HCF(866, 629, 336, 60) = 1
HCF of 866, 629, 336, 60 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 866, 629, 336, 60 is 1.
Highest Common Factor of 866,629,336,60 is 1
Step 1: Since 866 > 629, we apply the division lemma to 866 and 629, to get
866 = 629 x 1 + 237
Step 2: Since the reminder 629 ≠ 0, we apply division lemma to 237 and 629, to get
629 = 237 x 2 + 155
Step 3: We consider the new divisor 237 and the new remainder 155, and apply the division lemma to get
237 = 155 x 1 + 82
We consider the new divisor 155 and the new remainder 82,and apply the division lemma to get
155 = 82 x 1 + 73
We consider the new divisor 82 and the new remainder 73,and apply the division lemma to get
82 = 73 x 1 + 9
We consider the new divisor 73 and the new remainder 9,and apply the division lemma to get
73 = 9 x 8 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 866 and 629 is 1
Notice that 1 = HCF(9,1) = HCF(73,9) = HCF(82,73) = HCF(155,82) = HCF(237,155) = HCF(629,237) = HCF(866,629) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 336 > 1, we apply the division lemma to 336 and 1, to get
336 = 1 x 336 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 336 is 1
Notice that 1 = HCF(336,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60 > 1, we apply the division lemma to 60 and 1, to get
60 = 1 x 60 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60 is 1
Notice that 1 = HCF(60,1) .
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Frequently Asked Questions on HCF of 866, 629, 336, 60 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 866, 629, 336, 60?
Answer: HCF of 866, 629, 336, 60 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 866, 629, 336, 60 using Euclid's Algorithm?
Answer: For arbitrary numbers 866, 629, 336, 60 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.