Highest Common Factor of 709, 4728 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 709, 4728 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 709, 4728 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 709, 4728 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 709, 4728 is 1.
HCF(709, 4728) = 1
HCF of 709, 4728 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 709, 4728 is 1.
Highest Common Factor of 709,4728 is 1
Step 1: Since 4728 > 709, we apply the division lemma to 4728 and 709, to get
4728 = 709 x 6 + 474
Step 2: Since the reminder 709 ≠ 0, we apply division lemma to 474 and 709, to get
709 = 474 x 1 + 235
Step 3: We consider the new divisor 474 and the new remainder 235, and apply the division lemma to get
474 = 235 x 2 + 4
We consider the new divisor 235 and the new remainder 4,and apply the division lemma to get
235 = 4 x 58 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 709 and 4728 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(235,4) = HCF(474,235) = HCF(709,474) = HCF(4728,709) .
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Frequently Asked Questions on HCF of 709, 4728 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 709, 4728?
Answer: HCF of 709, 4728 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 709, 4728 using Euclid's Algorithm?
Answer: For arbitrary numbers 709, 4728 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.