Highest Common Factor of 515, 703 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 515, 703 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 515, 703 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 515, 703 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 515, 703 is 1.
HCF(515, 703) = 1
HCF of 515, 703 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 515, 703 is 1.
Highest Common Factor of 515,703 is 1
Step 1: Since 703 > 515, we apply the division lemma to 703 and 515, to get
703 = 515 x 1 + 188
Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 188 and 515, to get
515 = 188 x 2 + 139
Step 3: We consider the new divisor 188 and the new remainder 139, and apply the division lemma to get
188 = 139 x 1 + 49
We consider the new divisor 139 and the new remainder 49,and apply the division lemma to get
139 = 49 x 2 + 41
We consider the new divisor 49 and the new remainder 41,and apply the division lemma to get
49 = 41 x 1 + 8
We consider the new divisor 41 and the new remainder 8,and apply the division lemma to get
41 = 8 x 5 + 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 515 and 703 is 1
Notice that 1 = HCF(8,1) = HCF(41,8) = HCF(49,41) = HCF(139,49) = HCF(188,139) = HCF(515,188) = HCF(703,515) .
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Frequently Asked Questions on HCF of 515, 703 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 515, 703?
Answer: HCF of 515, 703 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 515, 703 using Euclid's Algorithm?
Answer: For arbitrary numbers 515, 703 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.