Highest Common Factor of 210, 567, 127 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 210, 567, 127 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 210, 567, 127 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 210, 567, 127 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 210, 567, 127 is 1.
HCF(210, 567, 127) = 1
HCF of 210, 567, 127 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 210, 567, 127 is 1.
Highest Common Factor of 210,567,127 is 1
Step 1: Since 567 > 210, we apply the division lemma to 567 and 210, to get
567 = 210 x 2 + 147
Step 2: Since the reminder 210 ≠ 0, we apply division lemma to 147 and 210, to get
210 = 147 x 1 + 63
Step 3: We consider the new divisor 147 and the new remainder 63, and apply the division lemma to get
147 = 63 x 2 + 21
We consider the new divisor 63 and the new remainder 21, and apply the division lemma to get
63 = 21 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 210 and 567 is 21
Notice that 21 = HCF(63,21) = HCF(147,63) = HCF(210,147) = HCF(567,210) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 127 > 21, we apply the division lemma to 127 and 21, to get
127 = 21 x 6 + 1
Step 2: Since the reminder 21 ≠ 0, we apply division lemma to 1 and 21, 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 21 and 127 is 1
Notice that 1 = HCF(21,1) = HCF(127,21) .
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Frequently Asked Questions on HCF of 210, 567, 127 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 210, 567, 127?
Answer: HCF of 210, 567, 127 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 210, 567, 127 using Euclid's Algorithm?
Answer: For arbitrary numbers 210, 567, 127 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.