Highest Common Factor of 663, 945, 805, 849 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 663, 945, 805, 849 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 663, 945, 805, 849 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 663, 945, 805, 849 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 663, 945, 805, 849 is 1.
HCF(663, 945, 805, 849) = 1
HCF of 663, 945, 805, 849 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 663, 945, 805, 849 is 1.
Highest Common Factor of 663,945,805,849 is 1
Step 1: Since 945 > 663, we apply the division lemma to 945 and 663, to get
945 = 663 x 1 + 282
Step 2: Since the reminder 663 ≠ 0, we apply division lemma to 282 and 663, to get
663 = 282 x 2 + 99
Step 3: We consider the new divisor 282 and the new remainder 99, and apply the division lemma to get
282 = 99 x 2 + 84
We consider the new divisor 99 and the new remainder 84,and apply the division lemma to get
99 = 84 x 1 + 15
We consider the new divisor 84 and the new remainder 15,and apply the division lemma to get
84 = 15 x 5 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 663 and 945 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(84,15) = HCF(99,84) = HCF(282,99) = HCF(663,282) = HCF(945,663) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 805 > 3, we apply the division lemma to 805 and 3, to get
805 = 3 x 268 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 805 is 1
Notice that 1 = HCF(3,1) = HCF(805,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 849 > 1, we apply the division lemma to 849 and 1, to get
849 = 1 x 849 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 849 is 1
Notice that 1 = HCF(849,1) .
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Frequently Asked Questions on HCF of 663, 945, 805, 849 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 663, 945, 805, 849?
Answer: HCF of 663, 945, 805, 849 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 663, 945, 805, 849 using Euclid's Algorithm?
Answer: For arbitrary numbers 663, 945, 805, 849 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.