Highest Common Factor of 263, 977, 239, 206 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 263, 977, 239, 206 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 263, 977, 239, 206 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 263, 977, 239, 206 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 263, 977, 239, 206 is 1.
HCF(263, 977, 239, 206) = 1
HCF of 263, 977, 239, 206 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 263, 977, 239, 206 is 1.
Highest Common Factor of 263,977,239,206 is 1
Step 1: Since 977 > 263, we apply the division lemma to 977 and 263, to get
977 = 263 x 3 + 188
Step 2: Since the reminder 263 ≠ 0, we apply division lemma to 188 and 263, to get
263 = 188 x 1 + 75
Step 3: We consider the new divisor 188 and the new remainder 75, and apply the division lemma to get
188 = 75 x 2 + 38
We consider the new divisor 75 and the new remainder 38,and apply the division lemma to get
75 = 38 x 1 + 37
We consider the new divisor 38 and the new remainder 37,and apply the division lemma to get
38 = 37 x 1 + 1
We consider the new divisor 37 and the new remainder 1,and apply the division lemma 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 263 and 977 is 1
Notice that 1 = HCF(37,1) = HCF(38,37) = HCF(75,38) = HCF(188,75) = HCF(263,188) = HCF(977,263) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 239 > 1, we apply the division lemma to 239 and 1, to get
239 = 1 x 239 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 239 is 1
Notice that 1 = HCF(239,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 206 > 1, we apply the division lemma to 206 and 1, to get
206 = 1 x 206 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 206 is 1
Notice that 1 = HCF(206,1) .
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Frequently Asked Questions on HCF of 263, 977, 239, 206 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 263, 977, 239, 206?
Answer: HCF of 263, 977, 239, 206 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 263, 977, 239, 206 using Euclid's Algorithm?
Answer: For arbitrary numbers 263, 977, 239, 206 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.