Highest Common Factor of 87, 631, 297, 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 87, 631, 297, 203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 87, 631, 297, 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 87, 631, 297, 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 87, 631, 297, 203 is 1.
HCF(87, 631, 297, 203) = 1
HCF of 87, 631, 297, 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 87, 631, 297, 203 is 1.
Highest Common Factor of 87,631,297,203 is 1
Step 1: Since 631 > 87, we apply the division lemma to 631 and 87, to get
631 = 87 x 7 + 22
Step 2: Since the reminder 87 ≠ 0, we apply division lemma to 22 and 87, to get
87 = 22 x 3 + 21
Step 3: We consider the new divisor 22 and the new remainder 21, and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1, and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 87 and 631 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(87,22) = HCF(631,87) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 297 > 1, we apply the division lemma to 297 and 1, to get
297 = 1 x 297 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 297 is 1
Notice that 1 = HCF(297,1) .
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 87, 631, 297, 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 87, 631, 297, 203?
Answer: HCF of 87, 631, 297, 203 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 87, 631, 297, 203 using Euclid's Algorithm?
Answer: For arbitrary numbers 87, 631, 297, 203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.