Highest Common Factor of 803, 337, 72, 666 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 803, 337, 72, 666 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 803, 337, 72, 666 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 803, 337, 72, 666 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 803, 337, 72, 666 is 1.
HCF(803, 337, 72, 666) = 1
HCF of 803, 337, 72, 666 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 803, 337, 72, 666 is 1.
Highest Common Factor of 803,337,72,666 is 1
Step 1: Since 803 > 337, we apply the division lemma to 803 and 337, to get
803 = 337 x 2 + 129
Step 2: Since the reminder 337 ≠ 0, we apply division lemma to 129 and 337, to get
337 = 129 x 2 + 79
Step 3: We consider the new divisor 129 and the new remainder 79, and apply the division lemma to get
129 = 79 x 1 + 50
We consider the new divisor 79 and the new remainder 50,and apply the division lemma to get
79 = 50 x 1 + 29
We consider the new divisor 50 and the new remainder 29,and apply the division lemma to get
50 = 29 x 1 + 21
We consider the new divisor 29 and the new remainder 21,and apply the division lemma to get
29 = 21 x 1 + 8
We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get
21 = 8 x 2 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 803 and 337 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(29,21) = HCF(50,29) = HCF(79,50) = HCF(129,79) = HCF(337,129) = HCF(803,337) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 72 > 1, we apply the division lemma to 72 and 1, to get
72 = 1 x 72 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72 is 1
Notice that 1 = HCF(72,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 666 > 1, we apply the division lemma to 666 and 1, to get
666 = 1 x 666 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 666 is 1
Notice that 1 = HCF(666,1) .
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Frequently Asked Questions on HCF of 803, 337, 72, 666 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 803, 337, 72, 666?
Answer: HCF of 803, 337, 72, 666 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 803, 337, 72, 666 using Euclid's Algorithm?
Answer: For arbitrary numbers 803, 337, 72, 666 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.