Highest Common Factor of 231, 756, 244, 28 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 231, 756, 244, 28 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 231, 756, 244, 28 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 231, 756, 244, 28 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 231, 756, 244, 28 is 1.
HCF(231, 756, 244, 28) = 1
HCF of 231, 756, 244, 28 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 231, 756, 244, 28 is 1.
Highest Common Factor of 231,756,244,28 is 1
Step 1: Since 756 > 231, we apply the division lemma to 756 and 231, to get
756 = 231 x 3 + 63
Step 2: Since the reminder 231 ≠ 0, we apply division lemma to 63 and 231, to get
231 = 63 x 3 + 42
Step 3: We consider the new divisor 63 and the new remainder 42, and apply the division lemma to get
63 = 42 x 1 + 21
We consider the new divisor 42 and the new remainder 21, and apply the division lemma to get
42 = 21 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 231 and 756 is 21
Notice that 21 = HCF(42,21) = HCF(63,42) = HCF(231,63) = HCF(756,231) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 244 > 21, we apply the division lemma to 244 and 21, to get
244 = 21 x 11 + 13
Step 2: Since the reminder 21 ≠ 0, we apply division lemma to 13 and 21, to get
21 = 13 x 1 + 8
Step 3: We consider the new divisor 13 and the new remainder 8, and apply the division lemma to get
13 = 8 x 1 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
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 21 and 244 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(21,13) = HCF(244,21) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 28 > 1, we apply the division lemma to 28 and 1, to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28 is 1
Notice that 1 = HCF(28,1) .
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Frequently Asked Questions on HCF of 231, 756, 244, 28 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 231, 756, 244, 28?
Answer: HCF of 231, 756, 244, 28 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 231, 756, 244, 28 using Euclid's Algorithm?
Answer: For arbitrary numbers 231, 756, 244, 28 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.