Highest Common Factor of 804, 5267 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 804, 5267 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 804, 5267 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 804, 5267 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 804, 5267 is 1.
HCF(804, 5267) = 1
HCF of 804, 5267 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 804, 5267 is 1.
Highest Common Factor of 804,5267 is 1
Step 1: Since 5267 > 804, we apply the division lemma to 5267 and 804, to get
5267 = 804 x 6 + 443
Step 2: Since the reminder 804 ≠ 0, we apply division lemma to 443 and 804, to get
804 = 443 x 1 + 361
Step 3: We consider the new divisor 443 and the new remainder 361, and apply the division lemma to get
443 = 361 x 1 + 82
We consider the new divisor 361 and the new remainder 82,and apply the division lemma to get
361 = 82 x 4 + 33
We consider the new divisor 82 and the new remainder 33,and apply the division lemma to get
82 = 33 x 2 + 16
We consider the new divisor 33 and the new remainder 16,and apply the division lemma to get
33 = 16 x 2 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 804 and 5267 is 1
Notice that 1 = HCF(16,1) = HCF(33,16) = HCF(82,33) = HCF(361,82) = HCF(443,361) = HCF(804,443) = HCF(5267,804) .
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Frequently Asked Questions on HCF of 804, 5267 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 804, 5267?
Answer: HCF of 804, 5267 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 804, 5267 using Euclid's Algorithm?
Answer: For arbitrary numbers 804, 5267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.