Highest Common Factor of 852, 467 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 852, 467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 852, 467 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 852, 467 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 852, 467 is 1.
HCF(852, 467) = 1
HCF of 852, 467 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 852, 467 is 1.
Highest Common Factor of 852,467 is 1
Step 1: Since 852 > 467, we apply the division lemma to 852 and 467, to get
852 = 467 x 1 + 385
Step 2: Since the reminder 467 ≠ 0, we apply division lemma to 385 and 467, to get
467 = 385 x 1 + 82
Step 3: We consider the new divisor 385 and the new remainder 82, and apply the division lemma to get
385 = 82 x 4 + 57
We consider the new divisor 82 and the new remainder 57,and apply the division lemma to get
82 = 57 x 1 + 25
We consider the new divisor 57 and the new remainder 25,and apply the division lemma to get
57 = 25 x 2 + 7
We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get
25 = 7 x 3 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 852 and 467 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(57,25) = HCF(82,57) = HCF(385,82) = HCF(467,385) = HCF(852,467) .
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Frequently Asked Questions on HCF of 852, 467 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 852, 467?
Answer: HCF of 852, 467 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 852, 467 using Euclid's Algorithm?
Answer: For arbitrary numbers 852, 467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.