Highest Common Factor of 805, 434, 684 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 805, 434, 684 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 805, 434, 684 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 805, 434, 684 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 805, 434, 684 is 1.
HCF(805, 434, 684) = 1
HCF of 805, 434, 684 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 805, 434, 684 is 1.
Highest Common Factor of 805,434,684 is 1
Step 1: Since 805 > 434, we apply the division lemma to 805 and 434, to get
805 = 434 x 1 + 371
Step 2: Since the reminder 434 ≠ 0, we apply division lemma to 371 and 434, to get
434 = 371 x 1 + 63
Step 3: We consider the new divisor 371 and the new remainder 63, and apply the division lemma to get
371 = 63 x 5 + 56
We consider the new divisor 63 and the new remainder 56,and apply the division lemma to get
63 = 56 x 1 + 7
We consider the new divisor 56 and the new remainder 7,and apply the division lemma to get
56 = 7 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 805 and 434 is 7
Notice that 7 = HCF(56,7) = HCF(63,56) = HCF(371,63) = HCF(434,371) = HCF(805,434) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 684 > 7, we apply the division lemma to 684 and 7, to get
684 = 7 x 97 + 5
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 5 and 7, to get
7 = 5 x 1 + 2
Step 3: We consider the new divisor 5 and the new remainder 2, and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma 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 7 and 684 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(684,7) .
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Frequently Asked Questions on HCF of 805, 434, 684 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 805, 434, 684?
Answer: HCF of 805, 434, 684 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 805, 434, 684 using Euclid's Algorithm?
Answer: For arbitrary numbers 805, 434, 684 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.