Highest Common Factor of 764, 63251 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, 63251 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 764, 63251 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, 63251 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, 63251 is 1.
HCF(764, 63251) = 1
HCF of 764, 63251 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, 63251 is 1.
Highest Common Factor of 764,63251 is 1
Step 1: Since 63251 > 764, we apply the division lemma to 63251 and 764, to get
63251 = 764 x 82 + 603
Step 2: Since the reminder 764 ≠ 0, we apply division lemma to 603 and 764, to get
764 = 603 x 1 + 161
Step 3: We consider the new divisor 603 and the new remainder 161, and apply the division lemma to get
603 = 161 x 3 + 120
We consider the new divisor 161 and the new remainder 120,and apply the division lemma to get
161 = 120 x 1 + 41
We consider the new divisor 120 and the new remainder 41,and apply the division lemma to get
120 = 41 x 2 + 38
We consider the new divisor 41 and the new remainder 38,and apply the division lemma to get
41 = 38 x 1 + 3
We consider the new divisor 38 and the new remainder 3,and apply the division lemma to get
38 = 3 x 12 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 764 and 63251 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(38,3) = HCF(41,38) = HCF(120,41) = HCF(161,120) = HCF(603,161) = HCF(764,603) = HCF(63251,764) .
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Frequently Asked Questions on HCF of 764, 63251 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, 63251?
Answer: HCF of 764, 63251 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 764, 63251 using Euclid's Algorithm?
Answer: For arbitrary numbers 764, 63251 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
