Highest Common Factor of 723, 48898 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 723, 48898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 723, 48898 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 723, 48898 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 723, 48898 is 1.
HCF(723, 48898) = 1
HCF of 723, 48898 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 723, 48898 is 1.
Highest Common Factor of 723,48898 is 1
Step 1: Since 48898 > 723, we apply the division lemma to 48898 and 723, to get
48898 = 723 x 67 + 457
Step 2: Since the reminder 723 ≠ 0, we apply division lemma to 457 and 723, to get
723 = 457 x 1 + 266
Step 3: We consider the new divisor 457 and the new remainder 266, and apply the division lemma to get
457 = 266 x 1 + 191
We consider the new divisor 266 and the new remainder 191,and apply the division lemma to get
266 = 191 x 1 + 75
We consider the new divisor 191 and the new remainder 75,and apply the division lemma to get
191 = 75 x 2 + 41
We consider the new divisor 75 and the new remainder 41,and apply the division lemma to get
75 = 41 x 1 + 34
We consider the new divisor 41 and the new remainder 34,and apply the division lemma to get
41 = 34 x 1 + 7
We consider the new divisor 34 and the new remainder 7,and apply the division lemma to get
34 = 7 x 4 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 723 and 48898 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(34,7) = HCF(41,34) = HCF(75,41) = HCF(191,75) = HCF(266,191) = HCF(457,266) = HCF(723,457) = HCF(48898,723) .
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Frequently Asked Questions on HCF of 723, 48898 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 723, 48898?
Answer: HCF of 723, 48898 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 723, 48898 using Euclid's Algorithm?
Answer: For arbitrary numbers 723, 48898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.