Highest Common Factor of 726, 418, 983 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 726, 418, 983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 726, 418, 983 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 726, 418, 983 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 726, 418, 983 is 1.
HCF(726, 418, 983) = 1
HCF of 726, 418, 983 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 726, 418, 983 is 1.
Highest Common Factor of 726,418,983 is 1
Step 1: Since 726 > 418, we apply the division lemma to 726 and 418, to get
726 = 418 x 1 + 308
Step 2: Since the reminder 418 ≠ 0, we apply division lemma to 308 and 418, to get
418 = 308 x 1 + 110
Step 3: We consider the new divisor 308 and the new remainder 110, and apply the division lemma to get
308 = 110 x 2 + 88
We consider the new divisor 110 and the new remainder 88,and apply the division lemma to get
110 = 88 x 1 + 22
We consider the new divisor 88 and the new remainder 22,and apply the division lemma to get
88 = 22 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 726 and 418 is 22
Notice that 22 = HCF(88,22) = HCF(110,88) = HCF(308,110) = HCF(418,308) = HCF(726,418) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 983 > 22, we apply the division lemma to 983 and 22, to get
983 = 22 x 44 + 15
Step 2: Since the reminder 22 ≠ 0, we apply division lemma to 15 and 22, to get
22 = 15 x 1 + 7
Step 3: We consider the new divisor 15 and the new remainder 7, and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1, and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 22 and 983 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(983,22) .
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Frequently Asked Questions on HCF of 726, 418, 983 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 726, 418, 983?
Answer: HCF of 726, 418, 983 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 726, 418, 983 using Euclid's Algorithm?
Answer: For arbitrary numbers 726, 418, 983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.