Highest Common Factor of 929, 590, 431 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 929, 590, 431 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 929, 590, 431 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 929, 590, 431 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 929, 590, 431 is 1.
HCF(929, 590, 431) = 1
HCF of 929, 590, 431 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 929, 590, 431 is 1.
Highest Common Factor of 929,590,431 is 1
Step 1: Since 929 > 590, we apply the division lemma to 929 and 590, to get
929 = 590 x 1 + 339
Step 2: Since the reminder 590 ≠ 0, we apply division lemma to 339 and 590, to get
590 = 339 x 1 + 251
Step 3: We consider the new divisor 339 and the new remainder 251, and apply the division lemma to get
339 = 251 x 1 + 88
We consider the new divisor 251 and the new remainder 88,and apply the division lemma to get
251 = 88 x 2 + 75
We consider the new divisor 88 and the new remainder 75,and apply the division lemma to get
88 = 75 x 1 + 13
We consider the new divisor 75 and the new remainder 13,and apply the division lemma to get
75 = 13 x 5 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 929 and 590 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(75,13) = HCF(88,75) = HCF(251,88) = HCF(339,251) = HCF(590,339) = HCF(929,590) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 431 > 1, we apply the division lemma to 431 and 1, to get
431 = 1 x 431 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 431 is 1
Notice that 1 = HCF(431,1) .
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Frequently Asked Questions on HCF of 929, 590, 431 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 929, 590, 431?
Answer: HCF of 929, 590, 431 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 929, 590, 431 using Euclid's Algorithm?
Answer: For arbitrary numbers 929, 590, 431 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.