Highest Common Factor of 764, 282, 635 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 764, 282, 635 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 764, 282, 635 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 764, 282, 635 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 764, 282, 635 is 1.
HCF(764, 282, 635) = 1
HCF of 764, 282, 635 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 764, 282, 635 is 1.
Highest Common Factor of 764,282,635 is 1
Step 1: Since 764 > 282, we apply the division lemma to 764 and 282, to get
764 = 282 x 2 + 200
Step 2: Since the reminder 282 ≠ 0, we apply division lemma to 200 and 282, to get
282 = 200 x 1 + 82
Step 3: We consider the new divisor 200 and the new remainder 82, and apply the division lemma to get
200 = 82 x 2 + 36
We consider the new divisor 82 and the new remainder 36,and apply the division lemma to get
82 = 36 x 2 + 10
We consider the new divisor 36 and the new remainder 10,and apply the division lemma to get
36 = 10 x 3 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 764 and 282 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(36,10) = HCF(82,36) = HCF(200,82) = HCF(282,200) = HCF(764,282) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 635 > 2, we apply the division lemma to 635 and 2, to get
635 = 2 x 317 + 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 635 is 1
Notice that 1 = HCF(2,1) = HCF(635,2) .
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Frequently Asked Questions on HCF of 764, 282, 635 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 764, 282, 635?
Answer: HCF of 764, 282, 635 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 764, 282, 635 using Euclid's Algorithm?
Answer: For arbitrary numbers 764, 282, 635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
