Highest Common Factor of 464, 759 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, 759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 464, 759 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, 759 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, 759 is 1.
HCF(464, 759) = 1
HCF of 464, 759 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, 759 is 1.
Highest Common Factor of 464,759 is 1
Step 1: Since 759 > 464, we apply the division lemma to 759 and 464, to get
759 = 464 x 1 + 295
Step 2: Since the reminder 464 ≠ 0, we apply division lemma to 295 and 464, to get
464 = 295 x 1 + 169
Step 3: We consider the new divisor 295 and the new remainder 169, and apply the division lemma to get
295 = 169 x 1 + 126
We consider the new divisor 169 and the new remainder 126,and apply the division lemma to get
169 = 126 x 1 + 43
We consider the new divisor 126 and the new remainder 43,and apply the division lemma to get
126 = 43 x 2 + 40
We consider the new divisor 43 and the new remainder 40,and apply the division lemma to get
43 = 40 x 1 + 3
We consider the new divisor 40 and the new remainder 3,and apply the division lemma to get
40 = 3 x 13 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 464 and 759 is 1
Notice that 1 = HCF(3,1) = HCF(40,3) = HCF(43,40) = HCF(126,43) = HCF(169,126) = HCF(295,169) = HCF(464,295) = HCF(759,464) .
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Frequently Asked Questions on HCF of 464, 759 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, 759?
Answer: HCF of 464, 759 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 464, 759 using Euclid's Algorithm?
Answer: For arbitrary numbers 464, 759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.