Highest Common Factor of 517, 726, 513 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 517, 726, 513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 517, 726, 513 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 517, 726, 513 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 517, 726, 513 is 1.
HCF(517, 726, 513) = 1
HCF of 517, 726, 513 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 517, 726, 513 is 1.
Highest Common Factor of 517,726,513 is 1
Step 1: Since 726 > 517, we apply the division lemma to 726 and 517, to get
726 = 517 x 1 + 209
Step 2: Since the reminder 517 ≠ 0, we apply division lemma to 209 and 517, to get
517 = 209 x 2 + 99
Step 3: We consider the new divisor 209 and the new remainder 99, and apply the division lemma to get
209 = 99 x 2 + 11
We consider the new divisor 99 and the new remainder 11, and apply the division lemma to get
99 = 11 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 517 and 726 is 11
Notice that 11 = HCF(99,11) = HCF(209,99) = HCF(517,209) = HCF(726,517) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 513 > 11, we apply the division lemma to 513 and 11, to get
513 = 11 x 46 + 7
Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 7 and 11, to get
11 = 7 x 1 + 4
Step 3: We consider the new divisor 7 and the new remainder 4, and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 11 and 513 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(513,11) .
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Frequently Asked Questions on HCF of 517, 726, 513 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 517, 726, 513?
Answer: HCF of 517, 726, 513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 517, 726, 513 using Euclid's Algorithm?
Answer: For arbitrary numbers 517, 726, 513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.