Highest Common Factor of 613, 685, 109, 506 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 613, 685, 109, 506 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 613, 685, 109, 506 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 613, 685, 109, 506 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 613, 685, 109, 506 is 1.
HCF(613, 685, 109, 506) = 1
HCF of 613, 685, 109, 506 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 613, 685, 109, 506 is 1.
Highest Common Factor of 613,685,109,506 is 1
Step 1: Since 685 > 613, we apply the division lemma to 685 and 613, to get
685 = 613 x 1 + 72
Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 72 and 613, to get
613 = 72 x 8 + 37
Step 3: We consider the new divisor 72 and the new remainder 37, and apply the division lemma to get
72 = 37 x 1 + 35
We consider the new divisor 37 and the new remainder 35,and apply the division lemma to get
37 = 35 x 1 + 2
We consider the new divisor 35 and the new remainder 2,and apply the division lemma to get
35 = 2 x 17 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 613 and 685 is 1
Notice that 1 = HCF(2,1) = HCF(35,2) = HCF(37,35) = HCF(72,37) = HCF(613,72) = HCF(685,613) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 109 > 1, we apply the division lemma to 109 and 1, to get
109 = 1 x 109 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 109 is 1
Notice that 1 = HCF(109,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 506 > 1, we apply the division lemma to 506 and 1, to get
506 = 1 x 506 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 506 is 1
Notice that 1 = HCF(506,1) .
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Frequently Asked Questions on HCF of 613, 685, 109, 506 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 613, 685, 109, 506?
Answer: HCF of 613, 685, 109, 506 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 613, 685, 109, 506 using Euclid's Algorithm?
Answer: For arbitrary numbers 613, 685, 109, 506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.