Highest Common Factor of 804, 458, 677 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, 458, 677 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 804, 458, 677 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, 458, 677 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, 458, 677 is 1.
HCF(804, 458, 677) = 1
HCF of 804, 458, 677 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, 458, 677 is 1.
Highest Common Factor of 804,458,677 is 1
Step 1: Since 804 > 458, we apply the division lemma to 804 and 458, to get
804 = 458 x 1 + 346
Step 2: Since the reminder 458 ≠ 0, we apply division lemma to 346 and 458, to get
458 = 346 x 1 + 112
Step 3: We consider the new divisor 346 and the new remainder 112, and apply the division lemma to get
346 = 112 x 3 + 10
We consider the new divisor 112 and the new remainder 10,and apply the division lemma to get
112 = 10 x 11 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 804 and 458 is 2
Notice that 2 = HCF(10,2) = HCF(112,10) = HCF(346,112) = HCF(458,346) = HCF(804,458) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 677 > 2, we apply the division lemma to 677 and 2, to get
677 = 2 x 338 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 677 is 1
Notice that 1 = HCF(2,1) = HCF(677,2) .
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Frequently Asked Questions on HCF of 804, 458, 677 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, 458, 677?
Answer: HCF of 804, 458, 677 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 804, 458, 677 using Euclid's Algorithm?
Answer: For arbitrary numbers 804, 458, 677 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.