Highest Common Factor of 711, 395, 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 711, 395, 513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 711, 395, 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 711, 395, 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 711, 395, 513 is 1.
HCF(711, 395, 513) = 1
HCF of 711, 395, 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 711, 395, 513 is 1.
Highest Common Factor of 711,395,513 is 1
Step 1: Since 711 > 395, we apply the division lemma to 711 and 395, to get
711 = 395 x 1 + 316
Step 2: Since the reminder 395 ≠ 0, we apply division lemma to 316 and 395, to get
395 = 316 x 1 + 79
Step 3: We consider the new divisor 316 and the new remainder 79, and apply the division lemma to get
316 = 79 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 79, the HCF of 711 and 395 is 79
Notice that 79 = HCF(316,79) = HCF(395,316) = HCF(711,395) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 513 > 79, we apply the division lemma to 513 and 79, to get
513 = 79 x 6 + 39
Step 2: Since the reminder 79 ≠ 0, we apply division lemma to 39 and 79, to get
79 = 39 x 2 + 1
Step 3: We consider the new divisor 39 and the new remainder 1, and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 79 and 513 is 1
Notice that 1 = HCF(39,1) = HCF(79,39) = HCF(513,79) .
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Frequently Asked Questions on HCF of 711, 395, 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 711, 395, 513?
Answer: HCF of 711, 395, 513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 711, 395, 513 using Euclid's Algorithm?
Answer: For arbitrary numbers 711, 395, 513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.