Highest Common Factor of 473, 845, 757, 726 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 473, 845, 757, 726 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 473, 845, 757, 726 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 473, 845, 757, 726 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 473, 845, 757, 726 is 1.
HCF(473, 845, 757, 726) = 1
HCF of 473, 845, 757, 726 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 473, 845, 757, 726 is 1.
Highest Common Factor of 473,845,757,726 is 1
Step 1: Since 845 > 473, we apply the division lemma to 845 and 473, to get
845 = 473 x 1 + 372
Step 2: Since the reminder 473 ≠ 0, we apply division lemma to 372 and 473, to get
473 = 372 x 1 + 101
Step 3: We consider the new divisor 372 and the new remainder 101, and apply the division lemma to get
372 = 101 x 3 + 69
We consider the new divisor 101 and the new remainder 69,and apply the division lemma to get
101 = 69 x 1 + 32
We consider the new divisor 69 and the new remainder 32,and apply the division lemma to get
69 = 32 x 2 + 5
We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get
32 = 5 x 6 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 473 and 845 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(69,32) = HCF(101,69) = HCF(372,101) = HCF(473,372) = HCF(845,473) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 757 > 1, we apply the division lemma to 757 and 1, to get
757 = 1 x 757 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 757 is 1
Notice that 1 = HCF(757,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 726 > 1, we apply the division lemma to 726 and 1, to get
726 = 1 x 726 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 726 is 1
Notice that 1 = HCF(726,1) .
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Frequently Asked Questions on HCF of 473, 845, 757, 726 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 473, 845, 757, 726?
Answer: HCF of 473, 845, 757, 726 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 473, 845, 757, 726 using Euclid's Algorithm?
Answer: For arbitrary numbers 473, 845, 757, 726 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.