Highest Common Factor of 567, 6210, 9702 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 567, 6210, 9702 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 567, 6210, 9702 is 9 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 567, 6210, 9702 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 567, 6210, 9702 is 9.
HCF(567, 6210, 9702) = 9
HCF of 567, 6210, 9702 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 567, 6210, 9702 is 9.
Highest Common Factor of 567,6210,9702 is 9
Step 1: Since 6210 > 567, we apply the division lemma to 6210 and 567, to get
6210 = 567 x 10 + 540
Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 540 and 567, to get
567 = 540 x 1 + 27
Step 3: We consider the new divisor 540 and the new remainder 27, and apply the division lemma to get
540 = 27 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 567 and 6210 is 27
Notice that 27 = HCF(540,27) = HCF(567,540) = HCF(6210,567) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9702 > 27, we apply the division lemma to 9702 and 27, to get
9702 = 27 x 359 + 9
Step 2: Since the reminder 27 ≠ 0, we apply division lemma to 9 and 27, to get
27 = 9 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 27 and 9702 is 9
Notice that 9 = HCF(27,9) = HCF(9702,27) .
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Frequently Asked Questions on HCF of 567, 6210, 9702 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 567, 6210, 9702?
Answer: HCF of 567, 6210, 9702 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 567, 6210, 9702 using Euclid's Algorithm?
Answer: For arbitrary numbers 567, 6210, 9702 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.