Highest Common Factor of 804, 65619 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, 65619 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 804, 65619 is 3 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, 65619 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, 65619 is 3.
HCF(804, 65619) = 3
HCF of 804, 65619 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, 65619 is 3.
Highest Common Factor of 804,65619 is 3
Step 1: Since 65619 > 804, we apply the division lemma to 65619 and 804, to get
65619 = 804 x 81 + 495
Step 2: Since the reminder 804 ≠ 0, we apply division lemma to 495 and 804, to get
804 = 495 x 1 + 309
Step 3: We consider the new divisor 495 and the new remainder 309, and apply the division lemma to get
495 = 309 x 1 + 186
We consider the new divisor 309 and the new remainder 186,and apply the division lemma to get
309 = 186 x 1 + 123
We consider the new divisor 186 and the new remainder 123,and apply the division lemma to get
186 = 123 x 1 + 63
We consider the new divisor 123 and the new remainder 63,and apply the division lemma to get
123 = 63 x 1 + 60
We consider the new divisor 63 and the new remainder 60,and apply the division lemma to get
63 = 60 x 1 + 3
We consider the new divisor 60 and the new remainder 3,and apply the division lemma to get
60 = 3 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 804 and 65619 is 3
Notice that 3 = HCF(60,3) = HCF(63,60) = HCF(123,63) = HCF(186,123) = HCF(309,186) = HCF(495,309) = HCF(804,495) = HCF(65619,804) .
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Frequently Asked Questions on HCF of 804, 65619 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, 65619?
Answer: HCF of 804, 65619 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 804, 65619 using Euclid's Algorithm?
Answer: For arbitrary numbers 804, 65619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
