Highest Common Factor of 954, 563, 46 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 954, 563, 46 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 954, 563, 46 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 954, 563, 46 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 954, 563, 46 is 1.
HCF(954, 563, 46) = 1
HCF of 954, 563, 46 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 954, 563, 46 is 1.
Highest Common Factor of 954,563,46 is 1
Step 1: Since 954 > 563, we apply the division lemma to 954 and 563, to get
954 = 563 x 1 + 391
Step 2: Since the reminder 563 ≠ 0, we apply division lemma to 391 and 563, to get
563 = 391 x 1 + 172
Step 3: We consider the new divisor 391 and the new remainder 172, and apply the division lemma to get
391 = 172 x 2 + 47
We consider the new divisor 172 and the new remainder 47,and apply the division lemma to get
172 = 47 x 3 + 31
We consider the new divisor 47 and the new remainder 31,and apply the division lemma to get
47 = 31 x 1 + 16
We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get
31 = 16 x 1 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 954 and 563 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(47,31) = HCF(172,47) = HCF(391,172) = HCF(563,391) = HCF(954,563) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46 > 1, we apply the division lemma to 46 and 1, to get
46 = 1 x 46 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46 is 1
Notice that 1 = HCF(46,1) .
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Frequently Asked Questions on HCF of 954, 563, 46 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 954, 563, 46?
Answer: HCF of 954, 563, 46 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 954, 563, 46 using Euclid's Algorithm?
Answer: For arbitrary numbers 954, 563, 46 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
