Highest Common Factor of 506, 897, 901 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 506, 897, 901 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 506, 897, 901 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 506, 897, 901 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 506, 897, 901 is 1.
HCF(506, 897, 901) = 1
HCF of 506, 897, 901 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 506, 897, 901 is 1.
Highest Common Factor of 506,897,901 is 1
Step 1: Since 897 > 506, we apply the division lemma to 897 and 506, to get
897 = 506 x 1 + 391
Step 2: Since the reminder 506 ≠ 0, we apply division lemma to 391 and 506, to get
506 = 391 x 1 + 115
Step 3: We consider the new divisor 391 and the new remainder 115, and apply the division lemma to get
391 = 115 x 3 + 46
We consider the new divisor 115 and the new remainder 46,and apply the division lemma to get
115 = 46 x 2 + 23
We consider the new divisor 46 and the new remainder 23,and apply the division lemma to get
46 = 23 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 506 and 897 is 23
Notice that 23 = HCF(46,23) = HCF(115,46) = HCF(391,115) = HCF(506,391) = HCF(897,506) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 901 > 23, we apply the division lemma to 901 and 23, to get
901 = 23 x 39 + 4
Step 2: Since the reminder 23 ≠ 0, we apply division lemma to 4 and 23, to get
23 = 4 x 5 + 3
Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma 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 23 and 901 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(901,23) .
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Frequently Asked Questions on HCF of 506, 897, 901 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 506, 897, 901?
Answer: HCF of 506, 897, 901 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 506, 897, 901 using Euclid's Algorithm?
Answer: For arbitrary numbers 506, 897, 901 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.