Highest Common Factor of 764, 465 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, 465 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 764, 465 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, 465 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, 465 is 1.
HCF(764, 465) = 1
HCF of 764, 465 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, 465 is 1.
Highest Common Factor of 764,465 is 1
Step 1: Since 764 > 465, we apply the division lemma to 764 and 465, to get
764 = 465 x 1 + 299
Step 2: Since the reminder 465 ≠ 0, we apply division lemma to 299 and 465, to get
465 = 299 x 1 + 166
Step 3: We consider the new divisor 299 and the new remainder 166, and apply the division lemma to get
299 = 166 x 1 + 133
We consider the new divisor 166 and the new remainder 133,and apply the division lemma to get
166 = 133 x 1 + 33
We consider the new divisor 133 and the new remainder 33,and apply the division lemma to get
133 = 33 x 4 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 764 and 465 is 1
Notice that 1 = HCF(33,1) = HCF(133,33) = HCF(166,133) = HCF(299,166) = HCF(465,299) = HCF(764,465) .
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Frequently Asked Questions on HCF of 764, 465 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, 465?
Answer: HCF of 764, 465 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 764, 465 using Euclid's Algorithm?
Answer: For arbitrary numbers 764, 465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.