Highest Common Factor of 740, 459, 808 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 740, 459, 808 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 740, 459, 808 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 740, 459, 808 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 740, 459, 808 is 1.
HCF(740, 459, 808) = 1
HCF of 740, 459, 808 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 740, 459, 808 is 1.
Highest Common Factor of 740,459,808 is 1
Step 1: Since 740 > 459, we apply the division lemma to 740 and 459, to get
740 = 459 x 1 + 281
Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 281 and 459, to get
459 = 281 x 1 + 178
Step 3: We consider the new divisor 281 and the new remainder 178, and apply the division lemma to get
281 = 178 x 1 + 103
We consider the new divisor 178 and the new remainder 103,and apply the division lemma to get
178 = 103 x 1 + 75
We consider the new divisor 103 and the new remainder 75,and apply the division lemma to get
103 = 75 x 1 + 28
We consider the new divisor 75 and the new remainder 28,and apply the division lemma to get
75 = 28 x 2 + 19
We consider the new divisor 28 and the new remainder 19,and apply the division lemma to get
28 = 19 x 1 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 740 and 459 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(75,28) = HCF(103,75) = HCF(178,103) = HCF(281,178) = HCF(459,281) = HCF(740,459) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 808 > 1, we apply the division lemma to 808 and 1, to get
808 = 1 x 808 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 808 is 1
Notice that 1 = HCF(808,1) .
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Frequently Asked Questions on HCF of 740, 459, 808 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 740, 459, 808?
Answer: HCF of 740, 459, 808 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 740, 459, 808 using Euclid's Algorithm?
Answer: For arbitrary numbers 740, 459, 808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
