Highest Common Factor of 4726, 5232 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 4726, 5232 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4726, 5232 is 2 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 4726, 5232 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 4726, 5232 is 2.
HCF(4726, 5232) = 2
HCF of 4726, 5232 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4726, 5232 is 2.
Highest Common Factor of 4726,5232 is 2
Step 1: Since 5232 > 4726, we apply the division lemma to 5232 and 4726, to get
5232 = 4726 x 1 + 506
Step 2: Since the reminder 4726 ≠ 0, we apply division lemma to 506 and 4726, to get
4726 = 506 x 9 + 172
Step 3: We consider the new divisor 506 and the new remainder 172, and apply the division lemma to get
506 = 172 x 2 + 162
We consider the new divisor 172 and the new remainder 162,and apply the division lemma to get
172 = 162 x 1 + 10
We consider the new divisor 162 and the new remainder 10,and apply the division lemma to get
162 = 10 x 16 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4726 and 5232 is 2
Notice that 2 = HCF(10,2) = HCF(162,10) = HCF(172,162) = HCF(506,172) = HCF(4726,506) = HCF(5232,4726) .
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Frequently Asked Questions on HCF of 4726, 5232 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 4726, 5232?
Answer: HCF of 4726, 5232 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4726, 5232 using Euclid's Algorithm?
Answer: For arbitrary numbers 4726, 5232 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
