Highest Common Factor of 529, 124, 467, 468 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 529, 124, 467, 468 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 529, 124, 467, 468 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 529, 124, 467, 468 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 529, 124, 467, 468 is 1.
HCF(529, 124, 467, 468) = 1
HCF of 529, 124, 467, 468 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 529, 124, 467, 468 is 1.
Highest Common Factor of 529,124,467,468 is 1
Step 1: Since 529 > 124, we apply the division lemma to 529 and 124, to get
529 = 124 x 4 + 33
Step 2: Since the reminder 124 ≠ 0, we apply division lemma to 33 and 124, to get
124 = 33 x 3 + 25
Step 3: We consider the new divisor 33 and the new remainder 25, and apply the division lemma to get
33 = 25 x 1 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 529 and 124 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(33,25) = HCF(124,33) = HCF(529,124) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 467 > 1, we apply the division lemma to 467 and 1, to get
467 = 1 x 467 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 467 is 1
Notice that 1 = HCF(467,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 468 > 1, we apply the division lemma to 468 and 1, to get
468 = 1 x 468 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 468 is 1
Notice that 1 = HCF(468,1) .
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Frequently Asked Questions on HCF of 529, 124, 467, 468 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 529, 124, 467, 468?
Answer: HCF of 529, 124, 467, 468 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 529, 124, 467, 468 using Euclid's Algorithm?
Answer: For arbitrary numbers 529, 124, 467, 468 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.