Highest Common Factor of 724, 75139 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 724, 75139 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 724, 75139 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 724, 75139 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 724, 75139 is 1.
HCF(724, 75139) = 1
HCF of 724, 75139 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 724, 75139 is 1.
Highest Common Factor of 724,75139 is 1
Step 1: Since 75139 > 724, we apply the division lemma to 75139 and 724, to get
75139 = 724 x 103 + 567
Step 2: Since the reminder 724 ≠ 0, we apply division lemma to 567 and 724, to get
724 = 567 x 1 + 157
Step 3: We consider the new divisor 567 and the new remainder 157, and apply the division lemma to get
567 = 157 x 3 + 96
We consider the new divisor 157 and the new remainder 96,and apply the division lemma to get
157 = 96 x 1 + 61
We consider the new divisor 96 and the new remainder 61,and apply the division lemma to get
96 = 61 x 1 + 35
We consider the new divisor 61 and the new remainder 35,and apply the division lemma to get
61 = 35 x 1 + 26
We consider the new divisor 35 and the new remainder 26,and apply the division lemma to get
35 = 26 x 1 + 9
We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get
26 = 9 x 2 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 724 and 75139 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(35,26) = HCF(61,35) = HCF(96,61) = HCF(157,96) = HCF(567,157) = HCF(724,567) = HCF(75139,724) .
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Frequently Asked Questions on HCF of 724, 75139 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 724, 75139?
Answer: HCF of 724, 75139 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 724, 75139 using Euclid's Algorithm?
Answer: For arbitrary numbers 724, 75139 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.