Highest Common Factor of 933, 277, 485 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 933, 277, 485 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 933, 277, 485 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 933, 277, 485 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 933, 277, 485 is 1.
HCF(933, 277, 485) = 1
HCF of 933, 277, 485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 933, 277, 485 is 1.
Highest Common Factor of 933,277,485 is 1
Step 1: Since 933 > 277, we apply the division lemma to 933 and 277, to get
933 = 277 x 3 + 102
Step 2: Since the reminder 277 ≠ 0, we apply division lemma to 102 and 277, to get
277 = 102 x 2 + 73
Step 3: We consider the new divisor 102 and the new remainder 73, and apply the division lemma to get
102 = 73 x 1 + 29
We consider the new divisor 73 and the new remainder 29,and apply the division lemma to get
73 = 29 x 2 + 15
We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get
29 = 15 x 1 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 933 and 277 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(73,29) = HCF(102,73) = HCF(277,102) = HCF(933,277) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 485 > 1, we apply the division lemma to 485 and 1, to get
485 = 1 x 485 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 485 is 1
Notice that 1 = HCF(485,1) .
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Frequently Asked Questions on HCF of 933, 277, 485 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 933, 277, 485?
Answer: HCF of 933, 277, 485 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 933, 277, 485 using Euclid's Algorithm?
Answer: For arbitrary numbers 933, 277, 485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
