Highest Common Factor of 697, 527, 360, 203 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 697, 527, 360, 203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 697, 527, 360, 203 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 697, 527, 360, 203 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 697, 527, 360, 203 is 1.
HCF(697, 527, 360, 203) = 1
HCF of 697, 527, 360, 203 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 697, 527, 360, 203 is 1.
Highest Common Factor of 697,527,360,203 is 1
Step 1: Since 697 > 527, we apply the division lemma to 697 and 527, to get
697 = 527 x 1 + 170
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 170 and 527, to get
527 = 170 x 3 + 17
Step 3: We consider the new divisor 170 and the new remainder 17, and apply the division lemma to get
170 = 17 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 697 and 527 is 17
Notice that 17 = HCF(170,17) = HCF(527,170) = HCF(697,527) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 360 > 17, we apply the division lemma to 360 and 17, to get
360 = 17 x 21 + 3
Step 2: Since the reminder 17 ≠ 0, we apply division lemma to 3 and 17, to get
17 = 3 x 5 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 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 17 and 360 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(360,17) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 203 > 1, we apply the division lemma to 203 and 1, to get
203 = 1 x 203 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 203 is 1
Notice that 1 = HCF(203,1) .
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Frequently Asked Questions on HCF of 697, 527, 360, 203 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 697, 527, 360, 203?
Answer: HCF of 697, 527, 360, 203 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 697, 527, 360, 203 using Euclid's Algorithm?
Answer: For arbitrary numbers 697, 527, 360, 203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.