Highest Common Factor of 983, 3665, 1746 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 983, 3665, 1746 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 983, 3665, 1746 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 983, 3665, 1746 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 983, 3665, 1746 is 1.
HCF(983, 3665, 1746) = 1
HCF of 983, 3665, 1746 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 983, 3665, 1746 is 1.
Highest Common Factor of 983,3665,1746 is 1
Step 1: Since 3665 > 983, we apply the division lemma to 3665 and 983, to get
3665 = 983 x 3 + 716
Step 2: Since the reminder 983 ≠ 0, we apply division lemma to 716 and 983, to get
983 = 716 x 1 + 267
Step 3: We consider the new divisor 716 and the new remainder 267, and apply the division lemma to get
716 = 267 x 2 + 182
We consider the new divisor 267 and the new remainder 182,and apply the division lemma to get
267 = 182 x 1 + 85
We consider the new divisor 182 and the new remainder 85,and apply the division lemma to get
182 = 85 x 2 + 12
We consider the new divisor 85 and the new remainder 12,and apply the division lemma to get
85 = 12 x 7 + 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 983 and 3665 is 1
Notice that 1 = HCF(12,1) = HCF(85,12) = HCF(182,85) = HCF(267,182) = HCF(716,267) = HCF(983,716) = HCF(3665,983) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1746 > 1, we apply the division lemma to 1746 and 1, to get
1746 = 1 x 1746 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1746 is 1
Notice that 1 = HCF(1746,1) .
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Frequently Asked Questions on HCF of 983, 3665, 1746 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 983, 3665, 1746?
Answer: HCF of 983, 3665, 1746 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 983, 3665, 1746 using Euclid's Algorithm?
Answer: For arbitrary numbers 983, 3665, 1746 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.