Highest Common Factor of 707, 523, 37 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 707, 523, 37 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 707, 523, 37 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 707, 523, 37 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 707, 523, 37 is 1.
HCF(707, 523, 37) = 1
HCF of 707, 523, 37 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 707, 523, 37 is 1.
Highest Common Factor of 707,523,37 is 1
Step 1: Since 707 > 523, we apply the division lemma to 707 and 523, to get
707 = 523 x 1 + 184
Step 2: Since the reminder 523 ≠ 0, we apply division lemma to 184 and 523, to get
523 = 184 x 2 + 155
Step 3: We consider the new divisor 184 and the new remainder 155, and apply the division lemma to get
184 = 155 x 1 + 29
We consider the new divisor 155 and the new remainder 29,and apply the division lemma to get
155 = 29 x 5 + 10
We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get
29 = 10 x 2 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 707 and 523 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(155,29) = HCF(184,155) = HCF(523,184) = HCF(707,523) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 37 > 1, we apply the division lemma to 37 and 1, to get
37 = 1 x 37 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 37 is 1
Notice that 1 = HCF(37,1) .
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Frequently Asked Questions on HCF of 707, 523, 37 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 707, 523, 37?
Answer: HCF of 707, 523, 37 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 707, 523, 37 using Euclid's Algorithm?
Answer: For arbitrary numbers 707, 523, 37 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.