Highest Common Factor of 725, 406, 723 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 725, 406, 723 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 725, 406, 723 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 725, 406, 723 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 725, 406, 723 is 1.
HCF(725, 406, 723) = 1
HCF of 725, 406, 723 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 725, 406, 723 is 1.
Highest Common Factor of 725,406,723 is 1
Step 1: Since 725 > 406, we apply the division lemma to 725 and 406, to get
725 = 406 x 1 + 319
Step 2: Since the reminder 406 ≠ 0, we apply division lemma to 319 and 406, to get
406 = 319 x 1 + 87
Step 3: We consider the new divisor 319 and the new remainder 87, and apply the division lemma to get
319 = 87 x 3 + 58
We consider the new divisor 87 and the new remainder 58,and apply the division lemma to get
87 = 58 x 1 + 29
We consider the new divisor 58 and the new remainder 29,and apply the division lemma to get
58 = 29 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 725 and 406 is 29
Notice that 29 = HCF(58,29) = HCF(87,58) = HCF(319,87) = HCF(406,319) = HCF(725,406) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 723 > 29, we apply the division lemma to 723 and 29, to get
723 = 29 x 24 + 27
Step 2: Since the reminder 29 ≠ 0, we apply division lemma to 27 and 29, to get
29 = 27 x 1 + 2
Step 3: We consider the new divisor 27 and the new remainder 2, and apply the division lemma to get
27 = 2 x 13 + 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 29 and 723 is 1
Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(29,27) = HCF(723,29) .
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Frequently Asked Questions on HCF of 725, 406, 723 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 725, 406, 723?
Answer: HCF of 725, 406, 723 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 725, 406, 723 using Euclid's Algorithm?
Answer: For arbitrary numbers 725, 406, 723 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.