Highest Common Factor of 727, 4724 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 727, 4724 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 727, 4724 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 727, 4724 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 727, 4724 is 1.
HCF(727, 4724) = 1
HCF of 727, 4724 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 727, 4724 is 1.
Highest Common Factor of 727,4724 is 1
Step 1: Since 4724 > 727, we apply the division lemma to 4724 and 727, to get
4724 = 727 x 6 + 362
Step 2: Since the reminder 727 ≠ 0, we apply division lemma to 362 and 727, to get
727 = 362 x 2 + 3
Step 3: We consider the new divisor 362 and the new remainder 3, and apply the division lemma to get
362 = 3 x 120 + 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 727 and 4724 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(362,3) = HCF(727,362) = HCF(4724,727) .
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Frequently Asked Questions on HCF of 727, 4724 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 727, 4724?
Answer: HCF of 727, 4724 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 727, 4724 using Euclid's Algorithm?
Answer: For arbitrary numbers 727, 4724 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.