Highest Common Factor of 882, 231, 440, 277 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 882, 231, 440, 277 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 882, 231, 440, 277 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 882, 231, 440, 277 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 882, 231, 440, 277 is 1.
HCF(882, 231, 440, 277) = 1
HCF of 882, 231, 440, 277 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 882, 231, 440, 277 is 1.
Highest Common Factor of 882,231,440,277 is 1
Step 1: Since 882 > 231, we apply the division lemma to 882 and 231, to get
882 = 231 x 3 + 189
Step 2: Since the reminder 231 ≠ 0, we apply division lemma to 189 and 231, to get
231 = 189 x 1 + 42
Step 3: We consider the new divisor 189 and the new remainder 42, and apply the division lemma to get
189 = 42 x 4 + 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 882 and 231 is 21
Notice that 21 = HCF(42,21) = HCF(189,42) = HCF(231,189) = HCF(882,231) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 440 > 21, we apply the division lemma to 440 and 21, to get
440 = 21 x 20 + 20
Step 2: Since the reminder 21 ≠ 0, we apply division lemma to 20 and 21, to get
21 = 20 x 1 + 1
Step 3: We consider the new divisor 20 and the new remainder 1, and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 21 and 440 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(440,21) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 277 > 1, we apply the division lemma to 277 and 1, to get
277 = 1 x 277 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 277 is 1
Notice that 1 = HCF(277,1) .
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Frequently Asked Questions on HCF of 882, 231, 440, 277 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 882, 231, 440, 277?
Answer: HCF of 882, 231, 440, 277 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 882, 231, 440, 277 using Euclid's Algorithm?
Answer: For arbitrary numbers 882, 231, 440, 277 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.