Highest Common Factor of 479, 753 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 479, 753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 479, 753 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 479, 753 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 479, 753 is 1.
HCF(479, 753) = 1
HCF of 479, 753 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 479, 753 is 1.
Highest Common Factor of 479,753 is 1
Step 1: Since 753 > 479, we apply the division lemma to 753 and 479, to get
753 = 479 x 1 + 274
Step 2: Since the reminder 479 ≠ 0, we apply division lemma to 274 and 479, to get
479 = 274 x 1 + 205
Step 3: We consider the new divisor 274 and the new remainder 205, and apply the division lemma to get
274 = 205 x 1 + 69
We consider the new divisor 205 and the new remainder 69,and apply the division lemma to get
205 = 69 x 2 + 67
We consider the new divisor 69 and the new remainder 67,and apply the division lemma to get
69 = 67 x 1 + 2
We consider the new divisor 67 and the new remainder 2,and apply the division lemma to get
67 = 2 x 33 + 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 479 and 753 is 1
Notice that 1 = HCF(2,1) = HCF(67,2) = HCF(69,67) = HCF(205,69) = HCF(274,205) = HCF(479,274) = HCF(753,479) .
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Frequently Asked Questions on HCF of 479, 753 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 479, 753?
Answer: HCF of 479, 753 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 479, 753 using Euclid's Algorithm?
Answer: For arbitrary numbers 479, 753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.