Highest Common Factor of 597, 910, 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 597, 910, 513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 597, 910, 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 597, 910, 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 597, 910, 513 is 1.
HCF(597, 910, 513) = 1
HCF of 597, 910, 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 597, 910, 513 is 1.
Highest Common Factor of 597,910,513 is 1
Step 1: Since 910 > 597, we apply the division lemma to 910 and 597, to get
910 = 597 x 1 + 313
Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 313 and 597, to get
597 = 313 x 1 + 284
Step 3: We consider the new divisor 313 and the new remainder 284, and apply the division lemma to get
313 = 284 x 1 + 29
We consider the new divisor 284 and the new remainder 29,and apply the division lemma to get
284 = 29 x 9 + 23
We consider the new divisor 29 and the new remainder 23,and apply the division lemma to get
29 = 23 x 1 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 597 and 910 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(29,23) = HCF(284,29) = HCF(313,284) = HCF(597,313) = HCF(910,597) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 513 > 1, we apply the division lemma to 513 and 1, to get
513 = 1 x 513 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 513 is 1
Notice that 1 = HCF(513,1) .
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Frequently Asked Questions on HCF of 597, 910, 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 597, 910, 513?
Answer: HCF of 597, 910, 513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 597, 910, 513 using Euclid's Algorithm?
Answer: For arbitrary numbers 597, 910, 513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.