Highest Common Factor of 464, 77559 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 464, 77559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 464, 77559 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 464, 77559 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 464, 77559 is 1.
HCF(464, 77559) = 1
HCF of 464, 77559 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 464, 77559 is 1.
Highest Common Factor of 464,77559 is 1
Step 1: Since 77559 > 464, we apply the division lemma to 77559 and 464, to get
77559 = 464 x 167 + 71
Step 2: Since the reminder 464 ≠ 0, we apply division lemma to 71 and 464, to get
464 = 71 x 6 + 38
Step 3: We consider the new divisor 71 and the new remainder 38, and apply the division lemma to get
71 = 38 x 1 + 33
We consider the new divisor 38 and the new remainder 33,and apply the division lemma to get
38 = 33 x 1 + 5
We consider the new divisor 33 and the new remainder 5,and apply the division lemma to get
33 = 5 x 6 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 464 and 77559 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(33,5) = HCF(38,33) = HCF(71,38) = HCF(464,71) = HCF(77559,464) .
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Frequently Asked Questions on HCF of 464, 77559 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 464, 77559?
Answer: HCF of 464, 77559 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 464, 77559 using Euclid's Algorithm?
Answer: For arbitrary numbers 464, 77559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.