Highest Common Factor of 624, 857, 933, 317 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 624, 857, 933, 317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 624, 857, 933, 317 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 624, 857, 933, 317 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 624, 857, 933, 317 is 1.
HCF(624, 857, 933, 317) = 1
HCF of 624, 857, 933, 317 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 624, 857, 933, 317 is 1.
Highest Common Factor of 624,857,933,317 is 1
Step 1: Since 857 > 624, we apply the division lemma to 857 and 624, to get
857 = 624 x 1 + 233
Step 2: Since the reminder 624 ≠ 0, we apply division lemma to 233 and 624, to get
624 = 233 x 2 + 158
Step 3: We consider the new divisor 233 and the new remainder 158, and apply the division lemma to get
233 = 158 x 1 + 75
We consider the new divisor 158 and the new remainder 75,and apply the division lemma to get
158 = 75 x 2 + 8
We consider the new divisor 75 and the new remainder 8,and apply the division lemma to get
75 = 8 x 9 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 624 and 857 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(75,8) = HCF(158,75) = HCF(233,158) = HCF(624,233) = HCF(857,624) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 933 > 1, we apply the division lemma to 933 and 1, to get
933 = 1 x 933 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 933 is 1
Notice that 1 = HCF(933,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 317 > 1, we apply the division lemma to 317 and 1, to get
317 = 1 x 317 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 317 is 1
Notice that 1 = HCF(317,1) .
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Frequently Asked Questions on HCF of 624, 857, 933, 317 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 624, 857, 933, 317?
Answer: HCF of 624, 857, 933, 317 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 624, 857, 933, 317 using Euclid's Algorithm?
Answer: For arbitrary numbers 624, 857, 933, 317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.